{ "cells": [ { "cell_type": "markdown", "id": "3cfd7e65-ad54-4875-a20a-3fd7b2a6a6e9", "metadata": {}, "source": [ "# Compare volume integrals of KDUQ potentials\n", "\n", "Volume integrals are a useful way to gain intuition about the relative importance of different terms at different energies.\n", "\n", "For a spherical potential term $V(r;E)$, we define\n", "\n", "\\begin{equation}\n", " \\frac{J_V(E)}{ A} \\equiv \\frac{4\\pi}{A} \\int_0^\\infty V(r;E) r^2 dr\n", "\\end{equation}" ] }, { "cell_type": "code", "execution_count": 1, "id": "a3368054-75e8-4f71-af34-014591e7499c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from tqdm import tqdm" ] }, { "cell_type": "code", "execution_count": 2, "id": "d24af3fd-68ed-4529-bd31-7859c65428de", "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "id": "d824cf21-eb10-46a3-8e96-b38feb50228f", "metadata": {}, "outputs": [], "source": [ "from jitr.reactions import ElasticReaction" ] }, { "cell_type": "code", "execution_count": 4, "id": "30ca7f12-9895-475a-b7cd-822ab0e8c2b5", "metadata": {}, "outputs": [], "source": [ "from jitr.optical_potentials import kduq" ] }, { "cell_type": "code", "execution_count": 5, "id": "968e94ae-5749-4b39-8c10-0c245f0abc97", "metadata": {}, "outputs": [], "source": [ "from jitr.optical_potentials.potential_forms import (\n", " thomas_volume_integral,\n", " woods_saxon_prime_volume_integral,\n", " woods_saxon_volume_integral,\n", ")\n", "from jitr.utils.constants import WAVENUMBER_PION" ] }, { "cell_type": "code", "execution_count": 6, "id": "7f6ea6e1-0568-4d0f-8e74-05de662b38f1", "metadata": {}, "outputs": [], "source": [ "neutron = (1, 0)\n", "proton = (1, 1)" ] }, { "cell_type": "code", "execution_count": 7, "id": "e4433afb-f2d5-451c-9396-8dd2204d329a", "metadata": {}, "outputs": [], "source": [ "target = (24, 12)\n", "projectile = proton\n", "energy_lab = np.linspace(10, 250, 100)\n", "rxn = ElasticReaction(target=target, projectile=projectile)" ] }, { "cell_type": "code", "execution_count": 8, "id": "df68c735-827f-4553-b3ae-b9a805422b42", "metadata": {}, "outputs": [], "source": [ "kduq_samples = kduq.get_samples(projectile)" ] }, { "cell_type": "code", "execution_count": 9, "id": "9f3905f2-a240-4368-9474-12d2d08f012f", "metadata": {}, "outputs": [], "source": [ "kinematics = rxn.kinematics(energy_lab)" ] }, { "cell_type": "code", "execution_count": 10, "id": "5bd47608-8dfe-4389-ae28-d41b92df53be", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 96%|████████████████████████████████████████████████████████████████████████████▏ | 401/416 [00:10<00:00, 40.37it/s]/home/kyle/umich/jitr/src/jitr/optical_potentials/kduq.py:467: RuntimeWarning: overflow encountered in exp\n", " d2 = d2_0 + d2_A / (1 + np.exp((A - d2_A3) / d2_A2))\n", "100%|███████████████████████████████████████████████████████████████████████████████| 416/416 [00:11<00:00, 36.51it/s]\n" ] } ], "source": [ "r = np.linspace(0.1, 10, 1000)\n", "kduq_v_central = np.zeros(\n", " (kduq.NUM_POSTERIOR_SAMPLES, energy_lab.size, r.size), dtype=complex\n", ")\n", "kduq_v_so = np.zeros(\n", " (kduq.NUM_POSTERIOR_SAMPLES, energy_lab.size, r.size), dtype=complex\n", ")\n", "central_volume_integral_analytic = np.zeros(\n", " (kduq.NUM_POSTERIOR_SAMPLES, energy_lab.size), dtype=complex\n", ")\n", "\n", "so_volume_integral_analytic = np.zeros(\n", " (kduq.NUM_POSTERIOR_SAMPLES, energy_lab.size), dtype=complex\n", ")\n", "\n", "for i, kduq_sample in enumerate(tqdm(kduq_samples)):\n", " for j, E in enumerate(kinematics.Elab):\n", " cent, so, coul = kduq.calculate_params(projectile, target, E, *kduq_sample)\n", " kduq_v_central[i, j, :] = kduq.central(r, *cent)\n", " kduq_v_so[i, j, :] = kduq.spin_orbit(r, *so)\n", "\n", " Vv, Rv, av, Wv, Rw, aw, Wd, Rd, ad = cent\n", " jv = -woods_saxon_volume_integral(Vv, Rv, av)\n", " jw = -woods_saxon_volume_integral(\n", " Wv, Rw, aw\n", " ) - woods_saxon_prime_volume_integral(Wd, Rd, ad)\n", "\n", " central_volume_integral_analytic[i, j] = jv + 1j * jw\n", "\n", " Vso, Rso, aso, Wso, Rwso, awso = so\n", " so_volume_integral_analytic[i, j] = -thomas_volume_integral(\n", " Vso, Rso, aso\n", " ) - 1j * thomas_volume_integral(Wso, Rwso, awso)" ] }, { "cell_type": "code", "execution_count": 11, "id": "0fdf42c8-be7f-4cbd-9f95-099353cd9718", "metadata": {}, "outputs": [], "source": [ "A = target[0]\n", "central_volume_integral = (\n", " (4 * np.pi) / A * np.trapezoid(kduq_v_central * r**2, r, axis=-1)\n", ")\n", "so_volume_integral = (4 * np.pi) / A * np.trapezoid(kduq_v_so * r**2, r, axis=-1)" ] }, { "cell_type": "code", "execution_count": 12, "id": "8dd79c21-92a2-4ff6-9c9b-4fed92da509f", "metadata": {}, "outputs": [], "source": [ "central_volume_integral_analytic *= 1 / A\n", "so_volume_integral_analytic *= (1 / WAVENUMBER_PION) ** 2 / A" ] }, { "cell_type": "code", "execution_count": 13, "id": "7922acdb-a7ea-4111-9c2e-959906baaf4f", "metadata": {}, "outputs": [], "source": [ "def get_ci(x):\n", " return np.percentile(x.real, [16, 50, 84], axis=0) + 1j * np.percentile(\n", " x.imag, [5, 50, 95], axis=0\n", " )" ] }, { "cell_type": "code", "execution_count": 14, "id": "b3d47069-f50b-4386-ab8f-cd1c82f9b5ec", "metadata": {}, "outputs": [], "source": [ "np.testing.assert_allclose(\n", " central_volume_integral_analytic, central_volume_integral, atol=0.2\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "46cc3792-83eb-4cc9-84f5-1aa110964682", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$^{24} \\\\rm{Mg}(p,el)$')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l, m, u = get_ci(central_volume_integral)\n", "plt.fill_between(\n", " energy_lab,\n", " l.real,\n", " u.real,\n", " alpha=0.3,\n", " color=\"tab:blue\",\n", " hatch=r\"\\\\\",\n", " label=r\"$J_V(E)/A$\",\n", ")\n", "plt.fill_between(\n", " energy_lab,\n", " l.imag,\n", " u.imag,\n", " alpha=0.3,\n", " color=\"tab:orange\",\n", " hatch=r\"\\\\\",\n", " label=r\"$J_W(E)/A$\",\n", ")\n", "\n", "l, m, u = get_ci(central_volume_integral_analytic)\n", "plt.fill_between(energy_lab, l.real, u.real, alpha=0.3, color=\"tab:blue\", hatch=\"//\")\n", "plt.fill_between(energy_lab, l.imag, u.imag, alpha=0.3, color=\"tab:orange\", hatch=\"//\")\n", "\n", "plt.fill_between(\n", " [200, 250],\n", " [-500, -500],\n", " [\n", " 0,\n", " 0,\n", " ],\n", " color=\"k\",\n", " alpha=0.1,\n", " zorder=-1,\n", ")\n", "\n", "plt.legend()\n", "plt.xlabel(r\"$E_{\\text{lab}}$ [MeV]\")\n", "plt.ylabel(r\"$J(E)/A$ [MeV]\")\n", "plt.title(f\"${rxn.reaction_latex}$\")" ] }, { "cell_type": "code", "execution_count": 16, "id": "300448a7-095b-4f96-86ae-295945706d76", "metadata": {}, "outputs": [], "source": [ "np.testing.assert_allclose(so_volume_integral_analytic, so_volume_integral, atol=0.01)" ] }, { "cell_type": "code", "execution_count": 17, "id": "d7aa73ac-e174-42a4-b343-1b16136ba1c9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, '$^{24} \\\\rm{Mg}(p,el)$')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l, m, u = get_ci(so_volume_integral)\n", "plt.fill_between(\n", " energy_lab,\n", " l.real,\n", " u.real,\n", " alpha=0.3,\n", " color=\"tab:blue\",\n", " hatch=r\"\\\\\",\n", " label=r\"$J_{Vso}(E)/A$\",\n", ")\n", "plt.fill_between(\n", " energy_lab,\n", " l.imag,\n", " u.imag,\n", " alpha=0.3,\n", " color=\"tab:orange\",\n", " hatch=r\"\\\\\",\n", " label=r\"$J_{Wso}(E)/A$\",\n", ")\n", "\n", "l, m, u = get_ci(so_volume_integral_analytic)\n", "plt.fill_between(energy_lab, l.real, u.real, alpha=0.4, color=\"tab:blue\", hatch=\"//\")\n", "plt.fill_between(energy_lab, l.imag, u.imag, alpha=0.4, color=\"tab:orange\", hatch=\"//\")\n", "plt.fill_between(\n", " [200, 250],\n", " [-18, -18],\n", " [\n", " 12,\n", " 12,\n", " ],\n", " color=\"k\",\n", " alpha=0.2,\n", " zorder=-1,\n", ")\n", "\n", "\n", "plt.legend()\n", "plt.xlabel(r\"$E_{\\text{lab}}$ [MeV]\")\n", "plt.ylabel(r\"$J(E)/A$ [MeV]\")\n", "plt.title(f\"${rxn.reaction_latex}$\")" ] } ], "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }