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ENH: wrtite Barrier factor in TR029 #25

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12 changes: 8 additions & 4 deletions docs/029/index.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -18,7 +18,7 @@
},
"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 @@ -66,7 +66,11 @@
},
{
"cell_type": "markdown",
"metadata": {},
"metadata": {
"jupyter": {
"source_hidden": true
}
},
"source": [
"As of AmpForm [v0.15](https://github.com/ComPWA/ampform/releases/tag/0.15.1), the implementation of [`BlattWeisskopfSquared`](https://ampform.readthedocs.io/0.15.x/api/ampform.dynamics/#ampform.dynamics.BlattWeisskopfSquared) contains hard-coded polynomials, see implementation [here](https://github.com/ComPWA/ampform/blob/0.15.1/src/ampform/dynamics/__init__.py#L66-L134).\n",
"The motivation for this can be found in the citations mentioned in [its API documentation](https://ampform.readthedocs.io/0.15.x/api/ampform.dynamics/#ampform.dynamics.BlattWeisskopfSquared).\n",
Expand Down Expand Up @@ -111,7 +115,7 @@
"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 +327,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normalized Blatt–Weisskopf form factor"
"## Normalized Blatt–Weisskopf form factor (barrier factor)"
]
},
{
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