{ "cells": [ { "cell_type": "code", "execution_count": 4, "id": "9d730e72-d542-4f2f-8321-7594aa177850", "metadata": {}, "outputs": [], "source": [ "from beta_spectrum.components.phase_space import PhaseSpace\n", "from beta_spectrum.components.fermi import FermiFunction\n", "from beta_spectrum.utils import T_to_W\n", "from numpy import arange, trapezoid\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "270a21ee-55a6-4c13-9b74-fa8bf4cc86a5", "metadata": {}, "outputs": [], "source": [ "endpoint_MeV = 0.2953\n", "e_step_MeV = 0.001\n", "Z_d = 44\n", "Z_p = 43\n", "A = 99\n", "\n", "W0 = T_to_W(endpoint_MeV)\n", "E = arange(e_step_MeV, endpoint_MeV, e_step_MeV)\n", "W = T_to_W(E)\n", "tr_type = \"F2\"" ] }, { "cell_type": "code", "execution_count": 7, "id": "10f27530-f2fe-4f2f-935f-3dec42ca8fd3", "metadata": {}, "outputs": [], "source": [ "ff = FermiFunction(Z_p, A)" ] }, { "cell_type": "code", "execution_count": 9, "id": "9352fc42-a2cd-47ee-a45b-e1ef5a7f79b1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for forb in [\"F1\", \"F2\",\"F3\", \"F4\"]:\n", " ph = PhaseSpace(W0, transition_type=forb)\n", " integral = trapezoid(ph(W), W)\n", " plt.plot(W, ff(W) * ph(W)/integral, label=forb)\n", " # plt.yscale(\"log\")\n", " plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "id": "fe83f93d-b9d5-4db2-b653-fd6e2355d910", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }