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ENH: wrtite Barrier factor in TR029 #25

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ENH: wrtite Barrier factor in TR029 #25

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for issue https://github.com/ComPWA/report/issues/15
shenvitor Nov 8, 2024
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for comment https://github.com/ComPWA/report/pull/25#discussion_r1834…
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[pre-commit.ci] auto fixes from pre-commit.com hooks
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11 changes: 7 additions & 4 deletions docs/029/index.ipynb
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Expand Up @@ -11,14 +11,17 @@
{
"cell_type": "markdown",
"metadata": {
"jupyter": {
"source_hidden": true
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},
"tags": [
"dynamics",
"sympy"
]
},
"source": [
"::::{margin}\n",
":::{card} Definition of the normalized Blatt–Weisskopf form factor from Hankel functions of the first kind.\n",
":::{card} Definition of the normalized Blatt–Weisskopf form factor (barrier factor) from Hankel functions of the first kind.\n",
"TR-029\n",
"^^^\n",
"This report investigates how to implement [ComPWA/ampform#417](https://github.com/ComPWA/ampform/issues/417), where it was suggested to define the 'normalized' Blatt–Weisskopf function $B_L^2(z)$ from a Hankel function of the first kind, $h_l^{(1)}$.\n",
Expand Down Expand Up @@ -111,7 +114,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"In the following, we call $F_\\ell(z)$ the _unnormalized_ Blatt–Weisskopf form factor.\n",
"In the following, we call $F_\\ell(z)$ the _unnormalized_ Blatt–Weisskopf form factor (barrier factor).\n",
"Following Chung and other resources (see e.g. {cite}`Chung:1995dx`, p. 415), AmpForm implements a unitless, _normalized_ Blatt–Weisskopf factor $B_L$, meaning that $B_L(1)=1$.[^3]\n",
"It can be defined in terms of $F_L$ as\n",
"\n",
Expand Down Expand Up @@ -323,7 +326,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normalized Blatt–Weisskopf form factor"
"## Normalized Blatt–Weisskopf form factor (barrier factor)"
]
},
{
Expand Down Expand Up @@ -521,7 +524,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.6"
"version": "3.12.7"
}
},
"nbformat": 4,
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