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MAINT: switch to InspireHEP citation keys
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* MAINT: update Zotero Better Bibcit style
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redeboer committed Jun 20, 2024
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1 change: 1 addition & 0 deletions .cspell.json
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"zemach"
],
"ignoreWords": [
"Badalian",
"Colab",
"IPython",
"MAINT",
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135 changes: 66 additions & 69 deletions docs/bibliography.bib

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2 changes: 1 addition & 1 deletion docs/dynamics.ipynb
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"cell_type": "markdown",
"metadata": {},
"source": [
"Since {term}`scattering operator` ($S$-matrix) formulates the transition amplitude from initial state $\\left|i\\right>$ to final state $\\left|f\\right>$ through $\\left<i\\right|S\\left|f\\right>$, it is a **unitary** operator—probability is conserved, meaning $SS^* = I$. Now, {ref}`having defined the transition operator <introduction:Transition amplitude>` through $S = I + iT$, we can introduce another operator: $K^{-1} = T^{-1} + iI$ {cite}`chungPartialWaveAnalysis1995`. \n",
"Since {term}`scattering operator` ($S$-matrix) formulates the transition amplitude from initial state $\\left|i\\right>$ to final state $\\left|f\\right>$ through $\\left<i\\right|S\\left|f\\right>$, it is a **unitary** operator—probability is conserved, meaning $SS^* = I$. Now, {ref}`having defined the transition operator <introduction:Transition amplitude>` through $S = I + iT$, we can introduce another operator: $K^{-1} = T^{-1} + iI$ {cite}`Chung:1995dx`. \n",
" \n"
]
},
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6 changes: 3 additions & 3 deletions docs/formalisms/helicity.md
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Expand Up @@ -83,8 +83,8 @@ Recommended literature:
<!-- cspell:ignore aaij Dalitzplot Marangotto Threebody -->

- General introductions to helicity angles: <br>
{cite}`kutschkeAngularDistributionCookbook1996, richmanExperimenterGuideHelicity1984`
{cite}`kutschkeAngularDistributionCookbook1996, Richman:1984gh`
- Suggested solutions: <br>
{cite}`chenCoherentHelicityAmplitude2017, Marangotto:2019ucc, Wang:2020giv, JPAC:2019ufm`
{cite}`Chen:2017gtx, Marangotto:2019ucc, Wang:2020giv, JPAC:2019ufm`
- LHCb study that led to these solution papers: <br>
{cite}`aaijObservationResonancesConsistent2015`
{cite}`LHCb:2015yax`
4 changes: 2 additions & 2 deletions docs/formalisms/tensor.md
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<!-- cspell:ignore anisovich Momentoperator Twomeson -->

{cite}`anisovichMomentoperatorExpansionTwomeson2002`
{cite}`Anisovich:2001ra`

## Non-covariant tensor formalisms

{cite}`zemachUseAngularMomentumTensors1965`
{cite}`Zemach:1965ycj`

## Spin-projection formalisms
30 changes: 15 additions & 15 deletions docs/glossary.md
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Expand Up @@ -18,35 +18,35 @@ K-matrix

A real, symmetric and hermitian operator that is defined from the
{term}`T-matrix` through $K^{-1} = T^{-1} + iI$. See
{cite}`badalyanResonancesCoupledChannels1982,chungPartialWaveAnalysis1995`
{cite}`Badalian:1981xj,Chung:1995dx`
and {pdg-review}`Resonances`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`.
{cite:labelpar}`ParticleDataGroup:2020ssz`.

P-vector

First described in {cite}`aitchisonMatrixFormalismOverlapping1972`. See also
{cite}`chungPartialWaveAnalysis1995` and {pdg-review}`Resonances`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`.
First described in {cite}`Aitchison:1972ay`. See also
{cite}`Chung:1995dx` and {pdg-review}`Resonances`
{cite:labelpar}`ParticleDataGroup:2020ssz`.

Q-vector

See {cite}`chungPartialWaveAnalysis1995` and
See {cite}`Chung:1995dx` and
{pdg-review}`Resonances`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`.
{cite:labelpar}`ParticleDataGroup:2020ssz`.

S-matrix
scattering operator

See {cite}`martinElementaryParticleTheory1970`, Ch.4.
See {cite}`Martin:1970hmp`, Ch.4.

T-matrix
transition operator

The {term}`scattering operator` can split into a non-interacting component
$I$ (identity operator) and a matrix $T$ that describes the actual
interactions through $S = I + iT$. See
{cite}`martinElementaryParticleTheory1970`, Ch.4, and
{cite}`chungPartialWaveAnalysis1995`.
{cite}`Martin:1970hmp`, Ch.4, and
{cite}`Chung:1995dx`.

asymptotic freedom

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{term}`hadron spectroscopy`.

See {pdg-review}`Resonances`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`. Related:
{cite:labelpar}`ParticleDataGroup:2020ssz`. Related:
{term}`production experiment`.

hadron
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represents a decay process of particle $Z$.

See {pdg-review}`Resonances`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`.
{cite:labelpar}`ParticleDataGroup:2020ssz`.

Quantum Chromodynamics (QCD)

The theory that describes the strong force on the most fundamental level. See
{pdg-review}`QCD`
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`.
{cite:labelpar}`ParticleDataGroup:2020ssz`.

quark

Expand All @@ -143,12 +143,12 @@ Quark Constituent Model (QCM)

Model with which to describe and categorize matter constituted of quarks
(i.e. {term}`hadrons <hadron>`). See
{cite:labelpar}`particledatagroupReviewParticlePhysics2020`
{cite:labelpar}`ParticleDataGroup:2020ssz`
({pdg-review}`Quark Model`).

resonance

See {cite:labelpar}`particledatagroupReviewParticlePhysics2020`
See {cite:labelpar}`ParticleDataGroup:2020ssz`
({pdg-review}`Resonances`).

Standard Model
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8 changes: 4 additions & 4 deletions docs/introduction.ipynb
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"source": [
"<!-- In general one is interested in gaining knowledge about the interaction of particles. Therefore, particle reaction experiments are performed to validate theoretical models and extract physical quantities and information (based on those models). To validate and extract information a comparison of the data from the experiment and the theoretical model is needed.\n",
"\n",
"The probability amplitude {cite}`weinbergQuantumTheoryFields1995`, p.113 of an initial state $\\Psi_i$ going to a final state $\\Psi_f$ is:\n",
"The probability amplitude {cite}`Weinberg:1995mt`, p.113 of an initial state $\\Psi_i$ going to a final state $\\Psi_f$ is:\n",
"\n",
"$$\n",
"S_{fi} = \\left< \\Psi_f \\middle| S \\middle| \\Psi_i \\right> = -2\\pi i \\delta^4(p_i - p_f)M_{fi}.\n",
Expand All @@ -133,7 +133,7 @@
"\n",
"1. Single particles in the initial state ($N_I=1$)\n",
"\n",
" This is a single particle decaying into the final state particles. Here the decay rate {cite}`weinbergQuantumTheoryFields1995`, p.136 is\n",
" This is a single particle decaying into the final state particles. Here the decay rate {cite}`Weinberg:1995mt`, p.136 is\n",
"\n",
" $$\n",
" d\\Gamma(i \\rightarrow f) = 2\\pi |M_{fi}|^2 \\delta^4(p_f - p_i) d\\Phi_f\n",
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"\n",
"2. Two particles in the initial state ($N_I=2$)\n",
"\n",
" The cross section of a two particle scattering/production process {cite}`weinbergQuantumTheoryFields1995`, p.137 is\n",
" The cross section of a two particle scattering/production process {cite}`Weinberg:1995mt`, p.137 is\n",
"\n",
" $$\n",
" d\\sigma(i \\rightarrow f) = (2\\pi)^4 u*i^{-1} |M*{fi}|^2 \\delta^4(p_f - p_i) d\\Phi_f\n",
" $$\n",
" \n",
" with $u_i^{-1}$ the relative velocity of the initial state particles.\n",
"\n",
"Describing multi body problems (more than 2) is a difficult task, since the interaction of more than two particles is difficult to describe {cite}`weinbergQuantumTheoryFields1995`, ch.4.\n",
"Describing multi body problems (more than 2) is a difficult task, since the interaction of more than two particles is difficult to describe {cite}`Weinberg:1995mt`, ch.4.\n",
"\n",
"One can resort to a simplification to treat a many body interaction by successive two body interactions. For N body particle decays (N > 2) this is known as the isobar model. Here a particle into N final state particles is modelled by a sequence of two particle decays. This is also also a assumption of the helicity/canonical formalism. -->"
]
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