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repo: https://github.com/psf/black + rev: 22.3.0 + hooks: + - id: black + + - repo: https://github.com/streetsidesoftware/cspell-cli + rev: v5.9.1 + hooks: + - id: cspell + + - repo: https://github.com/pycqa/isort + rev: 5.10.1 + hooks: + - id: isort + + - repo: https://github.com/nbQA-dev/nbQA + rev: 1.3.1 + hooks: + - id: nbqa-black + additional_dependencies: + - black>=22.1.0 + - id: nbqa-isort + - id: nbqa-pyupgrade + args: + - --py37-plus + + - repo: https://github.com/kynan/nbstripout + rev: 0.5.0 + hooks: + - id: nbstripout + args: + - --extra-keys + - | + cell.metadata.code_folding + cell.metadata.id + metadata.celltoolbar + metadata.colab.name + metadata.colab.provenance + metadata.interpreter + metadata.notify_time + metadata.toc + metadata.toc-autonumbering + metadata.toc-showcode + metadata.toc-showmarkdowntxt + metadata.toc-showtags + metadata.varInspector + + - repo: https://github.com/pre-commit/mirrors-prettier + rev: v2.6.2 + hooks: + - id: prettier + + - repo: https://github.com/ComPWA/mirrors-pyright + rev: v1.1.238 + hooks: + - id: pyright + + - repo: https://github.com/asottile/pyupgrade + rev: v2.32.0 + hooks: + - id: pyupgrade + args: + - --py37-plus diff --git a/.vscode/extensions.json b/.vscode/extensions.json index c5b2383c..21f0a25f 100644 --- a/.vscode/extensions.json +++ b/.vscode/extensions.json @@ -1,18 +1,20 @@ -{ - "recommendations": [ - "bungcip.better-toml", - "eamodio.gitlens", - "editorconfig.editorconfig", - "esbenp.prettier-vscode", - "github.vscode-pull-request-github", - "ms-python.python", - "ms-python.vscode-pylance", - "ms-vsliveshare.vsliveshare", - "oijaz.unicode-latex", - "redhat.vscode-yaml", - "streetsidesoftware.code-spell-checker", - "travisillig.vscode-json-stable-stringify", - "tyriar.sort-lines", - "yzhang.markdown-all-in-one" - ] -} +{ + "recommendations": [ + "bungcip.better-toml", + "eamodio.gitlens", + "editorconfig.editorconfig", + "esbenp.prettier-vscode", + "github.vscode-pull-request-github", + "julialang.language-julia", + "ms-python.python", + "ms-python.vscode-pylance", + "ms-vsliveshare.vsliveshare", + "oijaz.unicode-latex", + "redhat.vscode-yaml", + "stkb.rewrap", + "streetsidesoftware.code-spell-checker", + "travisillig.vscode-json-stable-stringify", + "tyriar.sort-lines", + "yzhang.markdown-all-in-one" + ] +} diff --git a/.vscode/settings.json b/.vscode/settings.json index 690e164a..bffdf8de 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -1,8 +1,36 @@ -{ - "cSpell.enabled": true, - "editor.formatOnSave": true, - "python.analysis.autoImportCompletions": false, - "python.analysis.diagnosticMode": "workspace", - "python.formatting.provider": "black", - "telemetry.telemetryLevel": "off" -} +{ + "[json]": { + "editor.defaultFormatter": "esbenp.prettier-vscode" + }, + "[jsonc]": { + "editor.defaultFormatter": "esbenp.prettier-vscode" + }, + "[julia]": { + "editor.defaultFormatter": "julialang.language-julia" + }, + "[markdown]": { + "editor.defaultFormatter": "esbenp.prettier-vscode" + }, + "[python]": { + "editor.codeActionsOnSave": { + "source.organizeImports": true + } + }, + "[yaml]": { + "editor.defaultFormatter": "esbenp.prettier-vscode" + }, + "cSpell.enabled": true, + "editor.formatOnSave": true, + "files.associations": { + ".cspell/*.txt": "plaintext" + }, + "python.analysis.autoImportCompletions": false, + "python.analysis.diagnosticMode": "workspace", + "python.formatting.provider": "black", + "python.linting.enabled": true, + "python.testing.pytestArgs": ["--color=no"], + "python.testing.pytestEnabled": true, + "python.testing.unittestEnabled": false, + "rewrap.wrappingColumn": 88, + "telemetry.telemetryLevel": "off" +} diff --git a/README.md b/README.md index 4859478a..726d0a72 100644 --- a/README.md +++ b/README.md @@ -1,64 +1,84 @@ -# Polarization sensitivity in Λc → pπK - -[![GPLv3+ license](https://img.shields.io/badge/License-GPLv3+-blue.svg)](https://www.gnu.org/licenses/gpl-3.0-standalone.html) - -This repository originates from [ComPWA/compwa-org#129](https://github.com/ComPWA/compwa-org/pull/129). It formulates a symbolic amplitude model for the decay Λc → pπK that is aligned with [Dalitz-plot decomposition](https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.034033) and computes - -## Installation - -It's recommended to develop this code base with [VSCode](https://code.visualstudio.com) and install the developer environment with Conda: - -```shell -conda env create -conda activate polarization -``` - -Style checks are enforced with [Pre-commit](https://pre-commit.com). To activate for each commit, run: - -```shell -pre-commit install -``` - -For more information about local Python set-up, see [here](https://compwa-org.readthedocs.io/develop.html#local-set-up). - -## Data -The parameters of the LHCb fit are storred in the json files in the folder [`data/`](data/) - -### Content of the [`data/isobars.json`](data/isobars.json) -The file proveds the description of the characteristics and parameters of the resonances in the decay chains. -The resonances are named by `L(XXXX)`, `D(XXXX)`, and `K(XXXX)` for the Lambda**, Delta**, and K** states. -The data stucture has the fieds `jp`, `mass`, `width`, and `lineshape`. - -There are three lineshape types used: - * "BreitWignerMinL": the standard parametrization with isobar spectator orbital momentum set to its minimal value - * "BuggBreitWignerMinL": the mass-dependent width incorporates Adler zero and exponential formfactor - * "Flatte1405": the mass-dependent width includes two terms, pK and Sigma pi with the same Gamma0 - -For most of the resonances, the width field gives a fixed value. -However, for a few, an interval is provided. In that case, the width was a parameter of the fit. -Its exact value is to be found in the list of parameters - -### Content of the [`data/modelparameters.json`](data/modelparameters.json) - -The fit results is storred in the `first(file["modelstudies"])`. The dictionary contains the list of all floating parameters. -`ArF(XXXX)N` and `AiF(XXXX)N` are the real and imaginary part of the coupling `K^{Lc->Fx}`, where - * the `F` stends for `D`,`L`, or `K`. - * the `N` numbers the helicity indices with the following mapping -``` -# Lambda** -L(XXXX)1 -> K^{Lc->Lambda pi}_{+1/2,0} -L(XXXX)2 -> K^{Lc->Lambda pi}_{-1/2,0} -# Delta** -D(XXXX)1 -> K^{Lc->Delta K}_{+1/2,0} -D(XXXX)2 -> K^{Lc->Delta K}_{-1/2,0} -# scalar K: K(700) and K(1430) -K(XXXX)1 -> K^{Lc->Delta K}_{0,-1/2} -K(XXXX)2 -> K^{Lc->Delta K}_{0,+1/2} -# other K: K(892) -K(XXXX)1 -> K^{Lc->Lpi}_{ +,1/2} -K(XXXX)2 -> K^{Lc->Lpi}_{-1,1/2} -K(XXXX)3 -> K^{Lc->Lpi}_{+1,-1/2} -K(XXXX)4 -> K^{Lc->Lpi}_{ 0,-1/2} -``` - -The default-fit result is storred in as the first item, `first(file["modelstudies"])`. +# Polarization sensitivity in Λc → pπK + + + +[![GPLv3+ license](https://img.shields.io/badge/License-GPLv3+-blue.svg)](https://www.gnu.org/licenses/gpl-3.0-standalone.html) + +This repository originates from [ComPWA/compwa-org#129](https://github.com/ComPWA/compwa-org/pull/129). It formulates a symbolic amplitude model for the decay Λc → pπK that is aligned with [Dalitz-plot decomposition](https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.034033) and computes + +## Installation + +It's recommended to develop this code base with [VSCode](https://code.visualstudio.com) and install the developer environment with Conda: + +```shell +conda env create +conda activate polarization +``` + +Style checks are enforced with [Pre-commit](https://pre-commit.com). To activate for each commit, run: + +```shell +pre-commit install +``` + +For more information about local Python set-up, see [here](https://compwa-org.readthedocs.io/develop.html#local-set-up). + +Conda also installs [Julia](https://julialang.org). In VSCode, you'll need to point to Julia's executable path and it's best to do this by [defining an overarching workspace](https://compwa-org.readthedocs.io/develop.html#visual-studio-code). An example: + + + +```json +{ + "julia.executablePath": "/home/${env:USER}/miniconda3/envs/polarization/bin/julia", + "python.terminal.activateEnvironment": false // optional +} +``` + +The second option is to avoid that the Conda environment is activated when launching the Julia REPL. + +## Data + +The parameters of the LHCb fit are stored in the json files in the folder [`data/`](data/) + +### Content of the [`data/isobars.json`](data/isobars.json) + +The file provides the description of the characteristics and parameters of the resonances in the decay chains. +The resonances are named by `L(XXXX)`, `D(XXXX)`, and `K(XXXX)` for the Lambda**, Delta**, and K\*\* states. +The data structure has the fields `jp`, `mass`, `width`, and `lineshape`. + +There are three lineshape types used: + +- "BreitWignerMinL": the standard parametrization with isobar spectator orbital momentum set to its minimal value +- "BuggBreitWignerMinL": the mass-dependent width incorporates Adler zero and exponential form factor +- "Flatte1405": the mass-dependent width includes two terms, pK and Sigma pi with the same Gamma0 + +For most of the resonances, the width field gives a fixed value. +However, for a few, an interval is provided. In that case, the width was a parameter of the fit. +Its exact value is to be found in the list of parameters + +### Content of the [`data/modelparameters.json`](data/modelparameters.json) + +The fit results is stored in the `first(file["modelstudies"])`. The dictionary contains the list of all floating parameters. +`ArF(XXXX)N` and `AiF(XXXX)N` are the real and imaginary part of the coupling `K^{Lc->Fx}`, where + +- the `F` stands for `D`,`L`, or `K`. +- the `N` numbers the helicity indices with the following mapping + +``` +# Lambda** +L(XXXX)1 -> K^{Lc->Lambda pi}_{+1/2,0} +L(XXXX)2 -> K^{Lc->Lambda pi}_{-1/2,0} +# Delta** +D(XXXX)1 -> K^{Lc->Delta K}_{+1/2,0} +D(XXXX)2 -> K^{Lc->Delta K}_{-1/2,0} +# scalar K: K(700) and K(1430) +K(XXXX)1 -> K^{Lc->Delta K}_{0,-1/2} +K(XXXX)2 -> K^{Lc->Delta K}_{0,+1/2} +# other K: K(892) +K(XXXX)1 -> K^{Lc->Lpi}_{ +,1/2} +K(XXXX)2 -> K^{Lc->Lpi}_{-1,1/2} +K(XXXX)3 -> K^{Lc->Lpi}_{+1,-1/2} +K(XXXX)4 -> K^{Lc->Lpi}_{ 0,-1/2} +``` + +The default-fit result is stored in as the first item, `first(file["modelstudies"])`. diff --git a/data/isobars.json b/data/isobars.json index 66a4234d..cb7557a0 100644 --- a/data/isobars.json +++ b/data/isobars.json @@ -1,76 +1,76 @@ -{ - "isobars": { - "L(1405)": { - "jp": "1/2^-", - "mass": "1405.1", - "width": "50.5", - "lineshape": "Flatte1405" - }, - "L(1520)": { - "jp": "3/2^-", - "mass": "1515-1523", - "width": "10-20", - "lineshape": "BreitWignerMinL" - }, - "L(1600)": { - "jp": "1/2^+", - "mass": "1630", - "width": "250", - "lineshape": "BreitWignerMinL" - }, - "L(1670)": { - "jp": "1/2^-", - "mass": "1670", - "width": "30", - "lineshape": "BreitWignerMinL" - }, - "L(1690)": { - "jp": "3/2^-", - "mass": "1690", - "width": "70", - "lineshape": "BreitWignerMinL" - }, - "L(2000)": { - "jp": "1/2^-", - "mass": "1900-2100", - "width": "20-400", - "lineshape": "BreitWignerMinL" - }, - "D(1232)": { - "jp": "3/2^+", - "mass": "1232", - "width": "117", - "lineshape": "BreitWignerMinL" - }, - "D(1600)": { - "jp": "3/2^+", - "mass": "1640", - "width": "300", - "lineshape": "BreitWignerMinL" - }, - "D(1700)": { - "jp": "3/2^-", - "mass": "1690", - "width": "380", - "lineshape": "BreitWignerMinL" - }, - "K(700)": { - "jp": "0^+", - "mass": "824", - "width": "478", - "lineshape": "BuggBreitWignerMinL" - }, - "K(892)": { - "jp": "1^-", - "mass": "895.5", - "width": "47.3", - "lineshape": "BreitWignerMinL" - }, - "K(1430)": { - "jp": "0^+", - "mass": "1375", - "width": "190", - "lineshape": "BuggBreitWignerMinL" - } - } -} +{ + "isobars": { + "L(1405)": { + "jp": "1/2^-", + "mass": "1405.1", + "width": "50.5", + "lineshape": "Flatte1405" + }, + "L(1520)": { + "jp": "3/2^-", + "mass": "1515-1523", + "width": "10-20", + "lineshape": "BreitWignerMinL" + }, + "L(1600)": { + "jp": "1/2^+", + "mass": "1630", + "width": "250", + "lineshape": "BreitWignerMinL" + }, + "L(1670)": { + "jp": "1/2^-", + "mass": "1670", + "width": "30", + "lineshape": "BreitWignerMinL" + }, + "L(1690)": { + "jp": "3/2^-", + "mass": "1690", + "width": "70", + "lineshape": "BreitWignerMinL" + }, + "L(2000)": { + "jp": "1/2^-", + "mass": "1900-2100", + "width": "20-400", + "lineshape": "BreitWignerMinL" + }, + "D(1232)": { + "jp": "3/2^+", + "mass": "1232", + "width": "117", + "lineshape": "BreitWignerMinL" + }, + "D(1600)": { + "jp": "3/2^+", + "mass": "1640", + "width": "300", + "lineshape": "BreitWignerMinL" + }, + "D(1700)": { + "jp": "3/2^-", + "mass": "1690", + "width": "380", + "lineshape": "BreitWignerMinL" + }, + "K(700)": { + "jp": "0^+", + "mass": "824", + "width": "478", + "lineshape": "BuggBreitWignerMinL" + }, + "K(892)": { + "jp": "1^-", + "mass": "895.5", + "width": "47.3", + "lineshape": "BreitWignerMinL" + }, + "K(1430)": { + "jp": "0^+", + "mass": "1375", + "width": "190", + "lineshape": "BuggBreitWignerMinL" + } + } +} diff --git a/data/modelparameters.json b/data/modelparameters.json index ce7ee57c..b1c37c55 100644 --- a/data/modelparameters.json +++ b/data/modelparameters.json @@ -1,1138 +1,1138 @@ -{ - "modelstudies": [ - { - "title": "Default amplitude model.", - "parameters": { - "gammaK(700)": "0.941060 ± 0.042406", - "ArK(700)1": "0.068908 ± 0.122603", - "AiK(700)1": "2.521444 ± 0.084235", - "ArK(700)2": "-2.685630 ± 0.124151", - "AiK(700)2": "0.038490 ± 0.123867", - "ArK(892)2": "1.192614 ± 0.066524", - "AiK(892)2": "-1.025814 ± 0.041453", - "ArK(892)3": "-3.141446 ± 0.092448", - "AiK(892)3": "-3.293410 ± 0.206014", - "ArK(892)4": "-0.727145 ± 0.181956", - "AiK(892)4": "-4.155027 ± 0.119153", - "gammaK(1430)": "0.020981 ± 0.011062", - "ArK(1430)1": "-6.715160 ± 0.602836", - "AiK(1430)1": "10.479411 ± 0.267895", - "ArK(1430)2": "0.219754 ± 0.381936", - "AiK(1430)2": "8.741196 ± 0.250855", - "ArL(1405)1": "-4.572486 ± 0.231833", - "AiL(1405)1": "3.190144 ± 0.169851", - "ArL(1405)2": "10.446080 ± 0.128799", - "AiL(1405)2": "2.787441 ± 0.607833", - "ML(1520)": "1.518467 ± 0.000100", - "GL(1520)": "0.015195 ± 0.000265", - "ArL(1520)1": "0.293998 ± 0.012158", - "AiL(1520)1": "0.044324 ± 0.022276", - 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"AiD(1700)1": "2.905844 ± 0.541731", - "ArD(1700)2": "11.987531 ± 0.604477", - "AiD(1700)2": "2.058147 ± 0.653879" - } - }, - { - "title": "Alternative amplitude model with K^*(700) with free mass and width.", - "parameters": { - "MK(700)": "0.874000 ± 0.004444", - "GK(700)": "0.398000 ± 0.003845", - "gammaK(700)": "1.293655 ± 0.065049", - "ArK(700)1": "-0.117095 ± 0.177157", - "AiK(700)1": "2.704896 ± 0.059553", - "ArK(700)2": "-3.035274 ± 0.115554", - "AiK(700)2": "0.085415 ± 0.129952", - "ArK(892)2": "1.221242 ± 0.041782", - "AiK(892)2": "-1.047306 ± 0.038072", - "ArK(892)3": "-3.393584 ± 0.075103", - "AiK(892)3": "-3.286426 ± 0.071765", - "ArK(892)4": "-0.885464 ± 0.057722", - "AiK(892)4": "-4.262787 ± 0.066235", - "gammaK(1430)": "0.020145 ± 0.007399", - "ArK(1430)1": "-6.628059 ± 0.228040", - "AiK(1430)1": "11.289175 ± 0.177019", - "ArK(1430)2": "0.267170 ± 0.209239", - "AiK(1430)2": "9.038425 ± 0.142729", - "ArL(1405)1": "-4.509067 ± 0.154996", - "AiL(1405)1": "3.264372 ± 0.177433", - "ArL(1405)2": "11.106135 ± 0.204230", - "AiL(1405)2": "2.179375 ± 0.281816", - "ML(1520)": "1.518427 ± 0.000057", - "GL(1520)": "0.015407 ± 0.000278", - "ArL(1520)1": "0.303906 ± 0.011574", - "AiL(1520)1": "0.027372 ± 0.012679", - "ArL(1520)2": "-0.087241 ± 0.035113", - "AiL(1520)2": "1.589856 ± 0.036747", - "ArL(1600)1": "5.099857 ± 0.118261", - "AiL(1600)1": "3.112247 ± 0.143722", - "ArL(1600)2": "-7.299315 ± 0.153331", - "AiL(1600)2": "1.248635 ± 0.165507", - "ArL(1670)1": "-0.345269 ± 0.018726", - "AiL(1670)1": "-0.127501 ± 0.021951", - "ArL(1670)2": "-0.540961 ± 0.029420", - "AiL(1670)2": "1.074781 ± 0.016984", - "ArL(1690)1": "-0.363644 ± 0.036703", - "AiL(1690)1": "-0.120825 ± 0.025074", - "ArL(1690)2": "-2.802881 ± 0.073307", - "AiL(1690)2": "-0.258627 ± 0.065393", - "ML(2000)": "1.988258 ± 0.000773", - "GL(2000)": "0.177437 ± 0.002181", - "ArL(2000)1": "-8.407101 ± 0.203855", - "AiL(2000)1": "-7.595600 ± 0.182119", - "ArL(2000)2": "-4.442971 ± 0.170001", - "AiL(2000)2": "-3.628276 ± 0.153057", - "ArD(1232)1": "-6.884150 ± 0.140261", - "AiD(1232)1": "3.334478 ± 0.160836", - "ArD(1232)2": "-13.240869 ± 0.229208", - "AiD(1232)2": "5.135798 ± 0.202758", - "ArD(1600)1": "11.573845 ± 0.258889", - "AiD(1600)1": "-3.609929 ± 0.209670", - "ArD(1600)2": "7.337382 ± 0.261163", - "AiD(1600)2": "-1.292572 ± 0.205303", - "ArD(1700)1": "10.938816 ± 0.188411", - "AiD(1700)1": "0.829034 ± 0.246461", - "ArD(1700)2": "13.471328 ± 0.269478", - "AiD(1700)2": "1.841069 ± 0.276973" - } - }, - { - "title": "Alternative amplitude model with K^*(1410) contribution added with mass and width from Ref.~cite{PDG2020}.", - "parameters": { - "gammaK(700)": "0.610031 ± 0.056464", - "ArK(700)1": "0.998014 ± 0.157706", - "AiK(700)1": "2.643169 ± 0.153535", - "ArK(700)2": "-3.741166 ± 0.195130", - "AiK(700)2": "0.101409 ± 0.182576", - "ArK(892)2": "1.029002 ± 0.090867", - "AiK(892)2": "-1.250462 ± 0.046933", - "ArK(892)3": "-3.514216 ± 0.144181", - "AiK(892)3": "-3.039751 ± 0.246634", - "ArK(892)4": "-0.888357 ± 0.187292", - "AiK(892)4": "-4.162778 ± 0.180947", - "ArK(1410)1": "-3.369750 ± 0.633205", - "AiK(1410)1": "-5.812831 ± 0.514088", - "ArK(1410)2": "0.042694 ± 0.616992", - "AiK(1410)2": "-4.840691 ± 0.585265", - "ArK(1410)3": "1.047327 ± 0.726056", - "AiK(1410)3": "10.518265 ± 0.647184", - "ArK(1410)4": "1.162940 ± 0.655989", - "AiK(1410)4": "5.379877 ± 0.493524", - "gammaK(1430)": "0.060253 ± 0.008710", - "ArK(1430)1": "-4.256320 ± 0.657069", - "AiK(1430)1": "11.004596 ± 0.346773", - "ArK(1430)2": "-1.690209 ± 0.354505", - "AiK(1430)2": "7.147499 ± 0.235006", - "ArL(1405)1": "-2.791128 ± 0.309384", - "AiL(1405)1": "0.493229 ± 0.287053", - "ArL(1405)2": "9.262813 ± 0.370295", - "AiL(1405)2": "4.356569 ± 0.674237", - "ML(1520)": "1.518607 ± 0.000142", - "GL(1520)": "0.015031 ± 0.000384", - "ArL(1520)1": "0.417944 ± 0.028169", - "AiL(1520)1": "-0.018029 ± 0.032573", - "ArL(1520)2": "-0.105559 ± 0.078261", - "AiL(1520)2": "1.418640 ± 0.065934", - "ArL(1600)1": "4.362129 ± 0.189634", - "AiL(1600)1": "0.788888 ± 0.312739", - "ArL(1600)2": "-5.849669 ± 0.264203", - "AiL(1600)2": "-0.108307 ± 0.307052", - "ArL(1670)1": "-0.329187 ± 0.017050", - "AiL(1670)1": "-0.074728 ± 0.022863", - "ArL(1670)2": "-0.468199 ± 0.065919", - "AiL(1670)2": "1.068614 ± 0.032767", - "ArL(1690)1": "-0.313354 ± 0.061185", - "AiL(1690)1": "0.024271 ± 0.042523", - "ArL(1690)2": "-2.858095 ± 0.111173", - "AiL(1690)2": "-0.189057 ± 0.149630", - "ML(2000)": "1.986826 ± 0.000838", - "GL(2000)": "0.165625 ± 0.002330", - "ArL(2000)1": "-7.883216 ± 0.319571", - "AiL(2000)1": "-5.719668 ± 0.524428", - "ArL(2000)2": "-4.506034 ± 0.210123", - "AiL(2000)2": "-3.979352 ± 0.319542", - "ArD(1232)1": "-6.218167 ± 0.381939", - "AiD(1232)1": "4.474333 ± 0.280400", - "ArD(1232)2": "-12.917498 ± 0.610768", - "AiD(1232)2": "5.437437 ± 0.534321", - "ArD(1600)1": "10.165113 ± 0.564503", - "AiD(1600)1": "-3.600791 ± 0.490655", - "ArD(1600)2": "6.766681 ± 0.440858", - "AiD(1600)2": "-1.857974 ± 0.412110", - "ArD(1700)1": "11.547894 ± 0.510295", - "AiD(1700)1": "-0.725114 ± 0.555047", - "ArD(1700)2": "14.379176 ± 0.607255", - "AiD(1700)2": "-0.231568 ± 0.722400" - } - }, - { - "title": "Alternative amplitude model in which a Relativistic Breit-Wigner is used for the K^*(1430) contribution.", - "parameters": { - "gammaK(700)": "0.922900 ± 0.034353", - "ArK(700)1": "-0.088452 ± 0.076269", - "AiK(700)1": "2.500931 ± 0.056046", - "ArK(700)2": "-2.807752 ± 0.095853", - "AiK(700)2": "0.080287 ± 0.066974", - "ArK(892)2": "1.183000 ± 0.035495", - "AiK(892)2": "-0.998802 ± 0.025785", - "ArK(892)3": "-3.064230 ± 0.052505", - "AiK(892)3": "-3.325429 ± 0.092621", - "ArK(892)4": "-0.649206 ± 0.079108", - "AiK(892)4": "-4.162340 ± 0.058969", - "ArK(1430)1": "-5.924213 ± 0.298956", - "AiK(1430)1": "12.061420 ± 0.176774", - "ArK(1430)2": "1.113085 ± 0.151442", - "AiK(1430)2": "9.448335 ± 0.156062", - "ArL(1405)1": "-4.646145 ± 0.119962", - "AiL(1405)1": "3.163520 ± 0.134807", - "ArL(1405)2": "10.157843 ± 0.114911", - "AiL(1405)2": "3.125226 ± 0.261682", - "ML(1520)": "1.518487 ± 0.000104", - "GL(1520)": "0.015100 ± 0.000359", - "ArL(1520)1": "0.287645 ± 0.015118", - "AiL(1520)1": "0.050185 ± 0.011685", - "ArL(1520)2": "-0.183290 ± 0.026418", - "AiL(1520)2": "1.485069 ± 0.017384", - "ArL(1600)1": "4.819150 ± 0.061052", - "AiL(1600)1": "3.088826 ± 0.157117", - "ArL(1600)2": "-6.811956 ± 0.119153", - "AiL(1600)2": "0.728666 ± 0.176591", - "ArL(1670)1": "-0.342254 ± 0.006441", - "AiL(1670)1": "-0.149415 ± 0.009928", - "ArL(1670)2": "-0.587154 ± 0.034787", - "AiL(1670)2": "0.998388 ± 0.009583", - "ArL(1690)1": "-0.409085 ± 0.014973", - "AiL(1690)1": "-0.084963 ± 0.024157", - "ArL(1690)2": "-2.715615 ± 0.036386", - "AiL(1690)2": "-0.413649 ± 0.077262", - "ML(2000)": "1.988876 ± 0.000632", - "GL(2000)": "0.183567 ± 0.002289", - "ArL(2000)1": "-8.097512 ± 0.172579", - "AiL(2000)1": "-7.959637 ± 0.250642", - "ArL(2000)2": "-4.396961 ± 0.087357", - "AiL(2000)2": "-4.040855 ± 0.167722", - "ArD(1232)1": "-6.802897 ± 0.137427", - "AiD(1232)1": "2.979103 ± 0.156005", - "ArD(1232)2": "-12.973008 ± 0.203687", - "AiD(1232)2": "4.438833 ± 0.222923", - "ArD(1600)1": "11.405535 ± 0.233336", - "AiD(1600)1": "-3.002764 ± 0.257261", - "ArD(1600)2": "6.867872 ± 0.225361", - "AiD(1600)2": "-0.936850 ± 0.189987", - "ArD(1700)1": "10.226676 ± 0.192975", - "AiD(1700)1": "1.616693 ± 0.275900", - "ArD(1700)2": "12.952162 ± 0.178677", - "AiD(1700)2": "2.237971 ± 0.381360" - } - }, - { - "title": "Alternative amplitude model with K^*(1430) with free width.", - "parameters": { - "gammaK(700)": "0.934183 ± 0.035840", - "ArK(700)1": "-0.025733 ± 0.068373", - "AiK(700)1": "2.555225 ± 0.056446", - "ArK(700)2": "-2.749931 ± 0.079619", - "AiK(700)2": "0.068425 ± 0.080909", - "ArK(892)2": "1.196976 ± 0.035795", - "AiK(892)2": "-1.014281 ± 0.027525", - "ArK(892)3": "-3.115952 ± 0.045253", - "AiK(892)3": "-3.342337 ± 0.052285", - "ArK(892)4": "-0.682157 ± 0.049104", - "AiK(892)4": "-4.190488 ± 0.031710", - "GK(1430)": "0.150117 ± 0.012478", - "gammaK(1430)": "0.353942 ± 0.012437", - "ArK(1430)1": "-6.369001 ± 0.226267", - "AiK(1430)1": "11.341841 ± 0.219290", - "ArK(1430)2": "0.675587 ± 0.249770", - "AiK(1430)2": "9.152291 ± 0.153840", - "ArL(1405)1": "-4.641171 ± 0.123808", - "AiL(1405)1": "3.199043 ± 0.164343", - "ArL(1405)2": "10.366257 ± 0.153619", - "AiL(1405)2": "3.040880 ± 0.252193", - "ML(1520)": "1.518472 ± 0.000096", - "GL(1520)": "0.015161 ± 0.000142", - "ArL(1520)1": "0.291519 ± 0.005953", - "AiL(1520)1": "0.048765 ± 0.007794", - "ArL(1520)2": "-0.176055 ± 0.029575", - "AiL(1520)2": "1.503093 ± 0.013972", - "ArL(1600)1": "4.852188 ± 0.069968", - "AiL(1600)1": "3.132230 ± 0.135834", - "ArL(1600)2": "-6.938257 ± 0.121886", - "AiL(1600)2": "0.770042 ± 0.130365", - "ArL(1670)1": "-0.343306 ± 0.006023", - "AiL(1670)1": "-0.147703 ± 0.009329", - "ArL(1670)2": "-0.585196 ± 0.024116", - "AiL(1670)2": "1.009963 ± 0.006880", - "ArL(1690)1": "-0.396095 ± 0.025097", - "AiL(1690)1": "-0.100006 ± 0.015263", - "ArL(1690)2": "-2.742605 ± 0.040421", - "AiL(1690)2": "-0.388296 ± 0.059445", - "ML(2000)": "1.988368 ± 0.000911", - "GL(2000)": "0.181734 ± 0.001988", - "ArL(2000)1": "-8.127146 ± 0.171276", - "AiL(2000)1": "-7.849932 ± 0.133223", - "ArL(2000)2": "-4.421548 ± 0.105964", - "AiL(2000)2": "-3.936428 ± 0.140305", - "ArD(1232)1": "-6.848011 ± 0.097194", - "AiD(1232)1": "3.013414 ± 0.142968", - "ArD(1232)2": "-13.083422 ± 0.115693", - "AiD(1232)2": "4.476747 ± 0.150077", - "ArD(1600)1": "11.488845 ± 0.171805", - "AiD(1600)1": "-3.052145 ± 0.199702", - "ArD(1600)2": "6.858418 ± 0.148709", - "AiD(1600)2": "-0.970904 ± 0.167293", - "ArD(1700)1": "10.351110 ± 0.160519", - "AiD(1700)1": "1.540701 ± 0.253220", - "ArD(1700)2": "12.985398 ± 0.110004", - "AiD(1700)2": "2.228074 ± 0.258859" - } - }, - { - "title": "Alternative amplitude model with an additional overall exponential form factor exp(-alpha q^2) multiplying Bugg lineshapes. The exponential parameter is indicated as ``alpha''.", - "parameters": { - "gammaK(700)": "0.822411 ± 0.057208", - "alphaK(700)": "-0.444257 ± 0.293332", - "ArK(700)1": "0.500932 ± 0.083523", - "AiK(700)1": "2.316935 ± 0.405634", - "ArK(700)2": "-2.019108 ± 0.371593", - "AiK(700)2": "0.057298 ± 0.076454", - "ArK(892)2": "1.160997 ± 0.042539", - "AiK(892)2": "-1.055468 ± 0.044142", - "ArK(892)3": "-3.153039 ± 0.089038", - "AiK(892)3": "-3.266216 ± 0.052409", - "ArK(892)4": "-0.748458 ± 0.083256", - "AiK(892)4": "-4.079399 ± 0.043196", - "gammaK(1430)": "-0.098783 ± 0.023220", - "alphaK(1430)": "0.320379 ± 0.200884", - "ArK(1430)1": "-7.871384 ± 0.349934", - "AiK(1430)1": "12.706526 ± 0.494652", - "ArK(1430)2": "1.519764 ± 0.524396", - "AiK(1430)2": "10.457474 ± 0.377571", - "ArL(1405)1": "-4.154905 ± 0.183111", - "AiL(1405)1": "3.102126 ± 0.212742", - "ArL(1405)2": "10.612403 ± 0.204058", - "AiL(1405)2": "2.444264 ± 0.295423", - "ML(1520)": "1.518409 ± 0.000135", - "GL(1520)": "0.014958 ± 0.000471", - "ArL(1520)1": "0.299140 ± 0.010063", - "AiL(1520)1": "0.016007 ± 0.012966", - "ArL(1520)2": "-0.149552 ± 0.037814", - "AiL(1520)2": "1.454957 ± 0.036239", - "ArL(1600)1": "4.873289 ± 0.098121", - "AiL(1600)1": "2.976170 ± 0.141205", - "ArL(1600)2": "-7.056025 ± 0.151698", - "AiL(1600)2": "0.638883 ± 0.172244", - "ArL(1670)1": "-0.319250 ± 0.008947", - "AiL(1670)1": "-0.141422 ± 0.013713", - "ArL(1670)2": "-0.555152 ± 0.026316", - "AiL(1670)2": "1.016211 ± 0.020910", - "ArL(1690)1": "-0.330284 ± 0.027874", - "AiL(1690)1": "-0.209158 ± 0.026284", - "ArL(1690)2": "-2.620128 ± 0.057680", - "AiL(1690)2": "-0.357478 ± 0.079165", - "ML(2000)": "1.986670 ± 0.000836", - "GL(2000)": "0.169498 ± 0.002847", - "ArL(2000)1": "-7.209116 ± 0.273563", - "AiL(2000)1": "-6.814298 ± 0.187355", - "ArL(2000)2": "-4.031724 ± 0.166622", - "AiL(2000)2": "-3.121371 ± 0.169532", - "ArD(1232)1": "-6.505562 ± 0.097783", - "AiD(1232)1": "3.218948 ± 0.180801", - "ArD(1232)2": "-12.821674 ± 0.115891", - "AiD(1232)2": "4.717166 ± 0.273132", - "ArD(1600)1": "11.505975 ± 0.221918", - "AiD(1600)1": "-2.755565 ± 0.289988", - "ArD(1600)2": "6.519839 ± 0.254287", - "AiD(1600)2": "-0.779944 ± 0.258351", - "ArD(1700)1": "10.729935 ± 0.232369", - "AiD(1700)1": "1.565633 ± 0.296713", - "ArD(1700)2": "13.294697 ± 0.257569", - "AiD(1700)2": "2.113176 ± 0.354202" - } - }, - { - "title": "Alternative amplitude model with free radial parameter d for the Lc resonance, indicated as dLc.", - "parameters": { - "dLc": "4.204442 ± 0.341296", - "gammaK(700)": "0.922543 ± 0.031137", - "ArK(700)1": "0.127948 ± 0.149474", - "AiK(700)1": "2.529633 ± 0.063936", - "ArK(700)2": "-2.727862 ± 0.088694", - "AiK(700)2": "0.129667 ± 0.146615", - "ArK(892)2": "1.170114 ± 0.063246", - "AiK(892)2": "-1.027869 ± 0.057527", - "ArK(892)3": "-3.215552 ± 0.159851", - "AiK(892)3": "-3.225086 ± 0.183685", - "ArK(892)4": "-0.800213 ± 0.214926", - "AiK(892)4": "-4.146763 ± 0.071926", - "gammaK(1430)": "0.020421 ± 0.005911", - 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"-0.273504 ± 0.156364", - "ML(2000)": "1.987921 ± 0.000493", - "GL(2000)": "0.179272 ± 0.001824", - "ArL(2000)1": "-8.201531 ± 0.389849", - "AiL(2000)1": "-7.392044 ± 0.493271", - "ArL(2000)2": "-4.385238 ± 0.205758", - "AiL(2000)2": "-3.708142 ± 0.264829", - "ArD(1232)1": "-6.689146 ± 0.213299", - "AiD(1232)1": "3.212245 ± 0.337147", - "ArD(1232)2": "-12.871200 ± 0.298883", - "AiD(1232)2": "4.772431 ± 0.644439", - "ArD(1600)1": "11.235201 ± 0.346318", - "AiD(1600)1": "-3.418874 ± 0.611233", - "ArD(1600)2": "6.603461 ± 0.229202", - "AiD(1600)2": "-1.305754 ± 0.406314", - "ArD(1700)1": "10.189830 ± 0.202768", - "AiD(1700)1": "1.183965 ± 0.577030", - "ArD(1700)2": "12.726946 ± 0.210809", - "AiD(1700)2": "1.728984 ± 0.718018" - } - }, - { - "title": "Alternative amplitude model obtained using LS couplings.", - "parameters": { - "ArK(700)1": "-0.000167 ± 0.019096", - "AiK(700)1": "-0.684890 ± 0.026946", - "ArK(700)2": "-0.631117 ± 0.024065", - "AiK(700)2": "0.040435 ± 0.023737", - 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"-0.167795 ± 0.005083", - "ArL(1690)1": "-0.378966 ± 0.012153", - "AiL(1690)1": "0.331114 ± 0.009513", - "ArL(1690)2": "-0.286413 ± 0.009060", - "AiL(1690)2": "0.247902 ± 0.011125", - "ArL(2000)1": "2.807070 ± 0.049100", - "AiL(2000)1": "0.071483 ± 0.066689", - "ArL(2000)2": "-0.890941 ± 0.023480", - "AiL(2000)2": "-0.087397 ± 0.028816", - "ArD(1232)1": "-1.499936 ± 0.054859", - "AiD(1232)1": "3.161477 ± 0.040932", - "ArD(1232)2": "-0.586497 ± 0.031930", - "AiD(1232)2": "0.838665 ± 0.019560", - "ArD(1600)1": "1.595876 ± 0.050522", - "AiD(1600)1": "-2.460301 ± 0.074787", - "ArD(1600)2": "-0.432377 ± 0.049114", - "AiD(1600)2": "0.688543 ± 0.027446", - "ArD(1700)1": "3.161722 ± 0.068890", - "AiD(1700)1": "-2.292309 ± 0.099002", - "ArD(1700)2": "0.179027 ± 0.031955", - "AiD(1700)2": "-0.298638 ± 0.021052" - } - } - ] -} +{ + "modelstudies": [ + { + "title": "Default amplitude model.", + "parameters": { + "gammaK(700)": "0.941060 ± 0.042406", + "ArK(700)1": "0.068908 ± 0.122603", + 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0.313304", + "ArL(1600)2": "-6.971233 ± 0.180278", + "AiL(1600)2": "0.842435 ± 0.300438", + "ArL(1670)1": "-0.339585 ± 0.013871", + "AiL(1670)1": "-0.144678 ± 0.022591", + "ArL(1670)2": "-0.570978 ± 0.059400", + "AiL(1670)2": "1.011833 ± 0.017816", + "ArL(1690)1": "-0.385772 ± 0.046657", + "AiL(1690)1": "-0.110235 ± 0.045896", + "ArL(1690)2": "-2.730592 ± 0.052811", + "AiL(1690)2": "-0.353613 ± 0.136240", + "ML(2000)": "1.988190 ± 0.000911", + "GL(2000)": "0.179260 ± 0.002766", + "ArL(2000)1": "-8.014857 ± 0.267813", + "AiL(2000)1": "-7.614006 ± 0.529630", + "ArL(2000)2": "-4.336255 ± 0.137963", + "AiL(2000)2": "-3.796192 ± 0.285036", + "ArD(1232)1": "-6.778191 ± 0.268436", + "AiD(1232)1": "3.051805 ± 0.264359", + "ArD(1232)2": "-12.987193 ± 0.433180", + "AiD(1232)2": "4.528336 ± 0.493430", + "ArD(1600)1": "11.401585 ± 0.437580", + "AiD(1600)1": "-3.125511 ± 0.473191", + "ArD(1600)2": "6.729211 ± 0.283501", + "AiD(1600)2": "-1.002383 ± 0.331137", + "ArD(1700)1": "10.378280 ± 0.253080", + "AiD(1700)1": "1.434872 ± 0.485532", + "ArD(1700)2": "12.874102 ± 0.233827", + "AiD(1700)2": "2.105570 ± 0.644916" + } + }, + { + "title": "Alternative amplitude model with K^*(892) with free mass and width.", + "parameters": { + "gammaK(700)": "0.979206 ± 0.029926", + "ArK(700)1": "-0.172866 ± 0.169819", + "AiK(700)1": "2.704617 ± 0.154115", + "ArK(700)2": "-2.867440 ± 0.176016", + "AiK(700)2": "-0.173008 ± 0.166487", + "MK(892)": "0.895262 ± 0.000220", + "GK(892)": "0.047548 ± 0.000464", + "ArK(892)2": "1.256591 ± 0.082629", + "AiK(892)2": "-0.961626 ± 0.073051", + "ArK(892)3": "-3.051419 ± 0.243241", + "AiK(892)3": "-3.550773 ± 0.240794", + "ArK(892)4": "-0.477608 ± 0.234991", + "AiK(892)4": "-4.309917 ± 0.211342", + "gammaK(1430)": "0.013442 ± 0.008768", + "ArK(1430)1": "-7.623008 ± 0.695014", + "AiK(1430)1": "10.659428 ± 0.676680", + "ArK(1430)2": "0.070474 ± 0.517914", + "AiK(1430)2": "9.232267 ± 0.483421", + "ArL(1405)1": "-4.803554 ± 0.291350", + "AiL(1405)1": "3.345284 ± 0.300704", + "ArL(1405)2": "11.081209 ± 0.589328", + "AiL(1405)2": "3.433091 ± 0.703625", + "ML(1520)": "1.518521 ± 0.000073", + "GL(1520)": "0.015321 ± 0.000307", + "ArL(1520)1": "0.295599 ± 0.024293", + "AiL(1520)1": "0.066946 ± 0.029078", + "ArL(1520)2": "-0.303600 ± 0.094485", + "AiL(1520)2": "1.593037 ± 0.087940", + "ArL(1600)1": "4.853708 ± 0.335374", + "AiL(1600)1": "3.589134 ± 0.384890", + "ArL(1600)2": "-7.454595 ± 0.384407", + "AiL(1600)2": "0.364087 ± 0.436442", + "ArL(1670)1": "-0.346038 ± 0.017070", + "AiL(1670)1": "-0.155222 ± 0.022148", + "ArL(1670)2": "-0.676886 ± 0.068655", + "AiL(1670)2": "1.024249 ± 0.064593", + "ArL(1690)1": "-0.406504 ± 0.049906", + "AiL(1690)1": "-0.166295 ± 0.047519", + "ArL(1690)2": "-2.877193 ± 0.143120", + "AiL(1690)2": "-0.505867 ± 0.164248", + "ML(2000)": "1.987204 ± 0.000962", + "GL(2000)": "0.180647 ± 0.001905", + "ArL(2000)1": "-8.153499 ± 0.623337", + "AiL(2000)1": "-8.466388 ± 0.605063", + "ArL(2000)2": "-4.440215 ± 0.356779", + 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"AiL(1600)2": "0.728666 ± 0.176591", + "ArL(1670)1": "-0.342254 ± 0.006441", + "AiL(1670)1": "-0.149415 ± 0.009928", + "ArL(1670)2": "-0.587154 ± 0.034787", + "AiL(1670)2": "0.998388 ± 0.009583", + "ArL(1690)1": "-0.409085 ± 0.014973", + "AiL(1690)1": "-0.084963 ± 0.024157", + "ArL(1690)2": "-2.715615 ± 0.036386", + "AiL(1690)2": "-0.413649 ± 0.077262", + "ML(2000)": "1.988876 ± 0.000632", + "GL(2000)": "0.183567 ± 0.002289", + "ArL(2000)1": "-8.097512 ± 0.172579", + "AiL(2000)1": "-7.959637 ± 0.250642", + "ArL(2000)2": "-4.396961 ± 0.087357", + "AiL(2000)2": "-4.040855 ± 0.167722", + "ArD(1232)1": "-6.802897 ± 0.137427", + "AiD(1232)1": "2.979103 ± 0.156005", + "ArD(1232)2": "-12.973008 ± 0.203687", + "AiD(1232)2": "4.438833 ± 0.222923", + "ArD(1600)1": "11.405535 ± 0.233336", + "AiD(1600)1": "-3.002764 ± 0.257261", + "ArD(1600)2": "6.867872 ± 0.225361", + "AiD(1600)2": "-0.936850 ± 0.189987", + "ArD(1700)1": "10.226676 ± 0.192975", + "AiD(1700)1": "1.616693 ± 0.275900", + "ArD(1700)2": "12.952162 ± 0.178677", + "AiD(1700)2": "2.237971 ± 0.381360" + } + }, + { + "title": "Alternative amplitude model with K^*(1430) with free width.", + "parameters": { + "gammaK(700)": "0.934183 ± 0.035840", + "ArK(700)1": "-0.025733 ± 0.068373", + "AiK(700)1": "2.555225 ± 0.056446", + "ArK(700)2": "-2.749931 ± 0.079619", + "AiK(700)2": "0.068425 ± 0.080909", + "ArK(892)2": "1.196976 ± 0.035795", + "AiK(892)2": "-1.014281 ± 0.027525", + "ArK(892)3": "-3.115952 ± 0.045253", + "AiK(892)3": "-3.342337 ± 0.052285", + "ArK(892)4": "-0.682157 ± 0.049104", + "AiK(892)4": "-4.190488 ± 0.031710", + "GK(1430)": "0.150117 ± 0.012478", + "gammaK(1430)": "0.353942 ± 0.012437", + "ArK(1430)1": "-6.369001 ± 0.226267", + "AiK(1430)1": "11.341841 ± 0.219290", + "ArK(1430)2": "0.675587 ± 0.249770", + "AiK(1430)2": "9.152291 ± 0.153840", + "ArL(1405)1": "-4.641171 ± 0.123808", + "AiL(1405)1": "3.199043 ± 0.164343", + "ArL(1405)2": "10.366257 ± 0.153619", + "AiL(1405)2": "3.040880 ± 0.252193", + "ML(1520)": "1.518472 ± 0.000096", + "GL(1520)": "0.015161 ± 0.000142", + "ArL(1520)1": "0.291519 ± 0.005953", + "AiL(1520)1": "0.048765 ± 0.007794", + "ArL(1520)2": "-0.176055 ± 0.029575", + "AiL(1520)2": "1.503093 ± 0.013972", + "ArL(1600)1": "4.852188 ± 0.069968", + "AiL(1600)1": "3.132230 ± 0.135834", + "ArL(1600)2": "-6.938257 ± 0.121886", + "AiL(1600)2": "0.770042 ± 0.130365", + "ArL(1670)1": "-0.343306 ± 0.006023", + "AiL(1670)1": "-0.147703 ± 0.009329", + "ArL(1670)2": "-0.585196 ± 0.024116", + "AiL(1670)2": "1.009963 ± 0.006880", + "ArL(1690)1": "-0.396095 ± 0.025097", + "AiL(1690)1": "-0.100006 ± 0.015263", + "ArL(1690)2": "-2.742605 ± 0.040421", + "AiL(1690)2": "-0.388296 ± 0.059445", + "ML(2000)": "1.988368 ± 0.000911", + "GL(2000)": "0.181734 ± 0.001988", + "ArL(2000)1": "-8.127146 ± 0.171276", + "AiL(2000)1": "-7.849932 ± 0.133223", + "ArL(2000)2": "-4.421548 ± 0.105964", + "AiL(2000)2": "-3.936428 ± 0.140305", + "ArD(1232)1": "-6.848011 ± 0.097194", + "AiD(1232)1": "3.013414 ± 0.142968", + "ArD(1232)2": "-13.083422 ± 0.115693", + "AiD(1232)2": "4.476747 ± 0.150077", + "ArD(1600)1": "11.488845 ± 0.171805", + "AiD(1600)1": "-3.052145 ± 0.199702", + "ArD(1600)2": "6.858418 ± 0.148709", + "AiD(1600)2": "-0.970904 ± 0.167293", + "ArD(1700)1": "10.351110 ± 0.160519", + "AiD(1700)1": "1.540701 ± 0.253220", + "ArD(1700)2": "12.985398 ± 0.110004", + "AiD(1700)2": "2.228074 ± 0.258859" + } + }, + { + "title": "Alternative amplitude model with an additional overall exponential form factor exp(-alpha q^2) multiplying Bugg lineshapes. The exponential parameter is indicated as ``alpha''.", + "parameters": { + "gammaK(700)": "0.822411 ± 0.057208", + "alphaK(700)": "-0.444257 ± 0.293332", + "ArK(700)1": "0.500932 ± 0.083523", + "AiK(700)1": "2.316935 ± 0.405634", + "ArK(700)2": "-2.019108 ± 0.371593", + "AiK(700)2": "0.057298 ± 0.076454", + "ArK(892)2": "1.160997 ± 0.042539", + "AiK(892)2": "-1.055468 ± 0.044142", + "ArK(892)3": "-3.153039 ± 0.089038", + "AiK(892)3": "-3.266216 ± 0.052409", + "ArK(892)4": "-0.748458 ± 0.083256", + "AiK(892)4": "-4.079399 ± 0.043196", + "gammaK(1430)": "-0.098783 ± 0.023220", + "alphaK(1430)": "0.320379 ± 0.200884", + "ArK(1430)1": "-7.871384 ± 0.349934", + "AiK(1430)1": "12.706526 ± 0.494652", + "ArK(1430)2": "1.519764 ± 0.524396", + "AiK(1430)2": "10.457474 ± 0.377571", + "ArL(1405)1": "-4.154905 ± 0.183111", + "AiL(1405)1": "3.102126 ± 0.212742", + "ArL(1405)2": "10.612403 ± 0.204058", + "AiL(1405)2": "2.444264 ± 0.295423", + "ML(1520)": "1.518409 ± 0.000135", + "GL(1520)": "0.014958 ± 0.000471", + "ArL(1520)1": "0.299140 ± 0.010063", + "AiL(1520)1": "0.016007 ± 0.012966", + "ArL(1520)2": "-0.149552 ± 0.037814", + "AiL(1520)2": "1.454957 ± 0.036239", + "ArL(1600)1": "4.873289 ± 0.098121", + "AiL(1600)1": "2.976170 ± 0.141205", + "ArL(1600)2": "-7.056025 ± 0.151698", + "AiL(1600)2": "0.638883 ± 0.172244", + "ArL(1670)1": "-0.319250 ± 0.008947", + "AiL(1670)1": "-0.141422 ± 0.013713", + "ArL(1670)2": "-0.555152 ± 0.026316", + "AiL(1670)2": "1.016211 ± 0.020910", + "ArL(1690)1": "-0.330284 ± 0.027874", + "AiL(1690)1": "-0.209158 ± 0.026284", + "ArL(1690)2": "-2.620128 ± 0.057680", + "AiL(1690)2": "-0.357478 ± 0.079165", + "ML(2000)": "1.986670 ± 0.000836", + "GL(2000)": "0.169498 ± 0.002847", + "ArL(2000)1": "-7.209116 ± 0.273563", + "AiL(2000)1": "-6.814298 ± 0.187355", + "ArL(2000)2": "-4.031724 ± 0.166622", + "AiL(2000)2": "-3.121371 ± 0.169532", + "ArD(1232)1": "-6.505562 ± 0.097783", + "AiD(1232)1": "3.218948 ± 0.180801", + "ArD(1232)2": "-12.821674 ± 0.115891", + "AiD(1232)2": "4.717166 ± 0.273132", + "ArD(1600)1": "11.505975 ± 0.221918", + "AiD(1600)1": "-2.755565 ± 0.289988", + "ArD(1600)2": "6.519839 ± 0.254287", + "AiD(1600)2": "-0.779944 ± 0.258351", + "ArD(1700)1": "10.729935 ± 0.232369", + "AiD(1700)1": "1.565633 ± 0.296713", + "ArD(1700)2": "13.294697 ± 0.257569", + "AiD(1700)2": "2.113176 ± 0.354202" + } + }, + { + "title": "Alternative amplitude model with free radial parameter d for the Lc resonance, indicated as dLc.", + "parameters": { + "dLc": "4.204442 ± 0.341296", + "gammaK(700)": "0.922543 ± 0.031137", + "ArK(700)1": "0.127948 ± 0.149474", + "AiK(700)1": "2.529633 ± 0.063936", + "ArK(700)2": "-2.727862 ± 0.088694", + "AiK(700)2": "0.129667 ± 0.146615", + "ArK(892)2": "1.170114 ± 0.063246", + "AiK(892)2": "-1.027869 ± 0.057527", + "ArK(892)3": "-3.215552 ± 0.159851", + "AiK(892)3": "-3.225086 ± 0.183685", + "ArK(892)4": "-0.800213 ± 0.214926", + "AiK(892)4": "-4.146763 ± 0.071926", + "gammaK(1430)": "0.020421 ± 0.005911", + "ArK(1430)1": "-6.490224 ± 0.582215", + "AiK(1430)1": "10.622156 ± 0.278960", + "ArK(1430)2": "0.461026 ± 0.446560", + "AiK(1430)2": "8.726626 ± 0.127359", + "ArL(1405)1": "-4.580370 ± 0.204095", + "AiL(1405)1": "3.210059 ± 0.214052", + "ArL(1405)2": "10.541466 ± 0.162820", + "AiL(1405)2": "2.584296 ± 0.633953", + "ML(1520)": "1.518464 ± 0.000141", + "GL(1520)": "0.015259 ± 0.000369", + "ArL(1520)1": "0.292152 ± 0.013805", + "AiL(1520)1": "0.032693 ± 0.023307", + "ArL(1520)2": "-0.130502 ± 0.085630", + "AiL(1520)2": "1.508702 ± 0.021918", + "ArL(1600)1": "4.957221 ± 0.157697", + "AiL(1600)1": "2.989209 ± 0.314697", + "ArL(1600)2": "-6.880108 ± 0.130076", + "AiL(1600)2": "0.952497 ± 0.375774", + "ArL(1670)1": "-0.339795 ± 0.009563", + "AiL(1670)1": "-0.134046 ± 0.024603", + "ArL(1670)2": "-0.550967 ± 0.059929", + "AiL(1670)2": "1.019503 ± 0.030319", + "ArL(1690)1": "-0.390624 ± 0.029626", + "AiL(1690)1": "-0.093379 ± 0.029199", + "ArL(1690)2": "-2.742302 ± 0.047928", + "AiL(1690)2": "-0.273504 ± 0.156364", + "ML(2000)": "1.987921 ± 0.000493", + "GL(2000)": "0.179272 ± 0.001824", + "ArL(2000)1": "-8.201531 ± 0.389849", + "AiL(2000)1": "-7.392044 ± 0.493271", + "ArL(2000)2": "-4.385238 ± 0.205758", + "AiL(2000)2": "-3.708142 ± 0.264829", + "ArD(1232)1": "-6.689146 ± 0.213299", + "AiD(1232)1": "3.212245 ± 0.337147", + "ArD(1232)2": "-12.871200 ± 0.298883", + "AiD(1232)2": "4.772431 ± 0.644439", + "ArD(1600)1": "11.235201 ± 0.346318", + "AiD(1600)1": "-3.418874 ± 0.611233", + "ArD(1600)2": "6.603461 ± 0.229202", + "AiD(1600)2": "-1.305754 ± 0.406314", + "ArD(1700)1": "10.189830 ± 0.202768", + "AiD(1700)1": "1.183965 ± 0.577030", + "ArD(1700)2": "12.726946 ± 0.210809", + "AiD(1700)2": "1.728984 ± 0.718018" + } + }, + { + "title": "Alternative amplitude model obtained using LS couplings.", + "parameters": { + "ArK(700)1": "-0.000167 ± 0.019096", + "AiK(700)1": "-0.684890 ± 0.026946", + "ArK(700)2": "-0.631117 ± 0.024065", + "AiK(700)2": "0.040435 ± 0.023737", + "ArK(892)2": "0.341792 ± 0.007302", + "AiK(892)2": "-0.064047 ± 0.004810", + "ArK(892)3": "-0.755199 ± 0.014376", + "AiK(892)3": "-0.592176 ± 0.014062", + "ArK(892)4": "0.093754 ± 0.007945", + "AiK(892)4": "0.379956 ± 0.005135", + "ArK(1430)1": "-1.352114 ± 0.098594", + "AiK(1430)1": "-3.150814 ± 0.057482", + "ArK(1430)2": "0.598156 ± 0.054311", + "AiK(1430)2": "-0.955655 ± 0.046918", + "ArL(1405)1": "-1.224670 ± 0.034198", + "AiL(1405)1": "-0.039521 ± 0.052576", + "ArL(1405)2": "-1.811842 ± 0.039381", + "AiL(1405)2": "1.625622 ± 0.034881", + "ArL(1520)1": "0.191708 ± 0.004957", + "AiL(1520)1": "0.167003 ± 0.005131", + "ArL(1520)2": "0.115638 ± 0.006304", + "AiL(1520)2": "0.242542 ± 0.004908", + "ArL(1600)1": "-0.134004 ± 0.032490", + "AiL(1600)1": "-0.628117 ± 0.032433", + "ArL(1600)2": "1.712637 ± 0.029718", + "AiL(1600)2": "-1.128953 ± 0.032192", + "ArL(1670)1": "0.009197 ± 0.004825", + "AiL(1670)1": "-0.200899 ± 0.003052", + "ArL(1670)2": "-0.114543 ± 0.004976", + "AiL(1670)2": "-0.167795 ± 0.005083", + "ArL(1690)1": "-0.378966 ± 0.012153", + "AiL(1690)1": "0.331114 ± 0.009513", + "ArL(1690)2": "-0.286413 ± 0.009060", + "AiL(1690)2": "0.247902 ± 0.011125", + "ArL(2000)1": "2.807070 ± 0.049100", + "AiL(2000)1": "0.071483 ± 0.066689", + "ArL(2000)2": "-0.890941 ± 0.023480", + "AiL(2000)2": "-0.087397 ± 0.028816", + "ArD(1232)1": "-1.499936 ± 0.054859", + "AiD(1232)1": "3.161477 ± 0.040932", + "ArD(1232)2": "-0.586497 ± 0.031930", + "AiD(1232)2": "0.838665 ± 0.019560", + "ArD(1600)1": "1.595876 ± 0.050522", + "AiD(1600)1": "-2.460301 ± 0.074787", + "ArD(1600)2": "-0.432377 ± 0.049114", + "AiD(1600)2": "0.688543 ± 0.027446", + "ArD(1700)1": "3.161722 ± 0.068890", + "AiD(1700)1": "-2.292309 ± 0.099002", + "ArD(1700)2": "0.179027 ± 0.031955", + "AiD(1700)2": "-0.298638 ± 0.021052" + } + } + ] +} diff --git a/docs/lambda-decay.ipynb b/docs/lambda-decay.ipynb new file mode 100644 index 00000000..67470c0a --- /dev/null +++ b/docs/lambda-decay.ipynb @@ -0,0 +1,1620 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Polarization sensitivity in $\\Lambda_c \\to p \\pi K$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_This notebook originates from [ComPWA/compwa-org#129](https://github.com/ComPWA/compwa-org/pull/129) [[TR-018](https://compwa-org--129.org.readthedocs.build/report/018.html)], [`625e50c`](https://github.com/ComPWA/compwa-org/pull/129/commits/94ceb51)._" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [ + "hide-cell" + ] + }, + "outputs": [], + "source": [ + "from __future__ import annotations\n", + "\n", + "import itertools\n", + "import logging\n", + "from functools import partial\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import qrules\n", + "import sympy as sp\n", + "from ampform.sympy import PoolSum, UnevaluatedExpression\n", + "from attrs import frozen\n", + "from IPython.display import HTML, Math, display\n", + "from ipywidgets import Button, Combobox, HBox, HTMLMath, Tab, VBox, interactive_output\n", + "from matplotlib import cm\n", + "from matplotlib.colors import LogNorm\n", + "from qrules.particle import Particle\n", + "from symplot import create_slider\n", + "from sympy.core.symbol import Str\n", + "from sympy.physics.matrices import msigma\n", + "from sympy.physics.quantum.spin import Rotation as Wigner\n", + "from tensorwaves.data.transform import SympyDataTransformer\n", + "from tensorwaves.function.sympy import create_function, create_parametrized_function\n", + "\n", + "from polarization.dynamics import (\n", + " BlattWeisskopf,\n", + " EnergyDependentWidth,\n", + " Källén,\n", + " P,\n", + " Q,\n", + " RelativisticBreitWigner,\n", + ")\n", + "from polarization.io import as_latex\n", + "from polarization.spin import (\n", + " create_spin_range,\n", + " filter_parity_violating_ls,\n", + " generate_ls_couplings,\n", + ")\n", + "\n", + "LOGGER = logging.getLogger()\n", + "LOGGER.setLevel(logging.ERROR)\n", + "\n", + "PDG = qrules.load_pdg()\n", + "\n", + "\n", + "def display_latex(obj) -> None:\n", + " latex = as_latex(obj)\n", + " display(Math(latex))\n", + "\n", + "\n", + "def display_doit(\n", + " expr: UnevaluatedExpression, deep=False, terms_per_line: int | None = None\n", + ") -> None:\n", + " if terms_per_line is None:\n", + " latex = as_latex({expr: expr.doit(deep=deep)})\n", + " else:\n", + " latex = sp.multiline_latex(\n", + " lhs=expr,\n", + " rhs=expr.doit(deep=deep),\n", + " terms_per_line=terms_per_line,\n", + " environment=\"eqnarray\",\n", + " )\n", + " display(Math(latex))\n", + "\n", + "\n", + "# hack for moving Indexed indices below superscript of the base\n", + "def _print_Indexed_latex(self, printer, *args):\n", + " base = printer._print(self.base)\n", + " indices = \", \".join(map(printer._print, self.indices))\n", + " return f\"{base}_{{{indices}}}\"\n", + "\n", + "\n", + "sp.Indexed._latex = _print_Indexed_latex" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "## Amplitude model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Resonances and $LS$-scheme" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "Λc = PDG[\"Lambda(c)+\"]\n", + "p = PDG[\"p\"]\n", + "K = PDG[\"K-\"]\n", + "π = PDG[\"pi+\"]\n", + "decay_products = {\n", + " 1: (π, K),\n", + " 2: (p, K),\n", + " 3: (p, π),\n", + "}\n", + "siblings = {\n", + " 1: p,\n", + " 2: π,\n", + " 3: K,\n", + "}\n", + "chain_ids = {\n", + " 1: \"K^{**}\",\n", + " 2: R\"\\Lambda^{**}\",\n", + " 3: R\"\\Delta^{**}\",\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "resonance_names = {\n", + " 1: [\"K*(892)0\"],\n", + " 2: [\"Lambda(1520)\", \"Lambda(1670)\"],\n", + " 3: [\"Delta(1232)++\"],\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "tags": [ + "hide-input" + ] + }, + "outputs": [], + "source": [ + "@frozen\n", + "class Resonance:\n", + " particle: Particle\n", + " l_R: int\n", + " l_Λc: int\n", + "\n", + " @staticmethod\n", + " def generate_ls(particle: Particle, chain_id: int) -> Resonance:\n", + " LS_prod = generate_ls_couplings(Λc.spin, particle.spin, siblings[chain_id].spin)\n", + " LS_prod = [L for L, _ in LS_prod]\n", + " child1, child2 = decay_products[chain_id]\n", + " LS_dec = generate_ls_couplings(particle.spin, child1.spin, child2.spin)\n", + " LS_dec = filter_parity_violating_ls(\n", + " LS_dec, particle.parity, child1.parity, child2.parity\n", + " )\n", + " LS_dec = [L for L, _ in LS_dec]\n", + " return Resonance(particle, l_R=min(LS_dec), l_Λc=min(LS_prod))\n", + "\n", + "\n", + "resonance_particles = {\n", + " chain_id: [PDG[name] for name in names]\n", + " for chain_id, names in resonance_names.items()\n", + "}\n", + "ls_resonances = {\n", + " chain_id: [Resonance.generate_ls(particle, chain_id) for particle in particles]\n", + " for chain_id, particles in resonance_particles.items()\n", + "}\n", + "\n", + "\n", + "def jp(particle: Particle):\n", + " if particle.parity is None:\n", + " raise ValueError(f\"Particle {particle.name} has no parity\")\n", + " p = \"+\" if particle.parity > 0 else \"-\"\n", + " j = sp.Rational(particle.spin)\n", + " return Rf\"\\({j}^{p}\\)\"\n", + "\n", + "\n", + "def create_html_table_row(*items, typ=\"td\"):\n", + " items = map(lambda i: f\"<{typ}>{i}{typ}>\", items)\n", + " return \"