{ "cells": [ { "cell_type": "markdown", "id": "dc7dddf7-b53a-45b7-bf6d-9630954fe555", "metadata": {}, "source": [ "# Tabulated proton and neutron densities\n", "\n", "This notebook demonstrates the packaged density tables exposed through `jitr.utils.density`. The tables provide proton and neutron densities for specific `(A, Z)` targets in two density models, which can be interpolated onto any radial grid.\n", "\n", "The densitiea are predictions of the deformed density distribution obtained within the Hartree-Fock-Bogoliubov method with the D1S Gogny effective interaction from \n", "- J. Decharge and D. Gogny, Phys. Rev. C21, 1568 (1980),\n", "- S. Hilaire and M. Girod, Eur. Phys. J. A33, 237 (2007),\n", "\n", "and within the bskg3 Skyrme force:\n", "- S. Goriely, M. Samyn, and J.M. Pearson, Phys. Rev. C75, 064312 (2007),\n", "- G. Audi, A.H. Wapstra, and C. Thibault, Nucl. Phys. A729, 337 (2003),\n", "- I. Angeli, At. Data Nucl. Data Tables 87, 185 (2004).\n", "\n", "The tables are copied from the [TALYS code](https://github.com/arjankoning1/talys/tree/main/structure/optical/jlm)." ] }, { "cell_type": "code", "execution_count": 1, "id": "12741276-ea53-48f0-8f99-b1f8acd499e3", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from jitr.utils import density\n", "from jitr.utils.density import TwoParameterFermiDensity" ] }, { "cell_type": "code", "execution_count": 2, "id": "aca64372-8b3d-4998-a411-fee47d8ad58d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['bskg3', 'd1m']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "density.density_models()" ] }, { "cell_type": "code", "execution_count": 3, "id": "b86a5ba7-1d1a-46d7-a773-0d6edaaad98e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(['bskg3', 'd1m'],\n", " [(12, 8),\n", " (13, 8),\n", " (14, 8),\n", " (15, 8),\n", " (16, 8),\n", " (17, 8),\n", " (18, 8),\n", " (19, 8),\n", " (20, 8),\n", " (21, 8),\n", " (22, 8),\n", " (23, 8),\n", " (24, 8),\n", " (25, 8),\n", " (26, 8),\n", " (27, 8),\n", " (28, 8),\n", " (29, 8),\n", " (30, 8)])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "density.density_models(), density.density_targets(model=\"d1m\", Z=8)" ] }, { "cell_type": "code", "execution_count": 4, "id": "938d21db-7ef6-4d79-8773-9ab96f13f01e", "metadata": {}, "outputs": [], "source": [ "A, Z = 16, 8\n", "r = np.linspace(0.0, 10.0, 400)\n", "\n", "rho_p_d1m, rho_n_d1m = density.densities(A, Z, r, model=\"d1m\")\n", "rho_p_bskg3, rho_n_bskg3 = density.densities(A, Z, r, model=\"bskg3\")\n", "\n", "table = density.density_table(A, Z, model=\"d1m\")\n", "proton_number = (\n", " 4.0\n", " * np.pi\n", " * np.trapezoid(\n", " table.radial_grid**2 * table.proton_density_grid,\n", " table.radial_grid,\n", " )\n", ")\n", "neutron_number = (\n", " 4.0\n", " * np.pi\n", " * np.trapezoid(\n", " table.radial_grid**2 * table.neutron_density_grid,\n", " table.radial_grid,\n", " )\n", ")\n", "\n", "assert np.isclose(proton_number, Z, rtol=1e-4)\n", "assert np.isclose(neutron_number, A - Z, rtol=1e-4)" ] }, { "cell_type": "code", "execution_count": 5, "id": "99820a23-3b1f-4aac-a439-717a2434ea0a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10, 4), sharey=True)\n", "\n", "axes[0].plot(r, rho_p_d1m, color=\"r\", label=\"p\", linewidth=2)\n", "axes[0].plot(r, rho_n_d1m, color=\"b\", label=\"n\", linewidth=2)\n", "axes[0].plot(\n", " r, rho_p_d1m + rho_n_d1m, color=\"g\", label=\"matter\", linestyle=\"--\", linewidth=2\n", ")\n", "axes[0].set_title(\"D1M\")\n", "axes[0].set_xlabel(r\"$r$ [fm]\")\n", "axes[0].set_ylabel(r\"$\\rho(r)$ [fm$^{-3}$]\")\n", "axes[0].legend()\n", "\n", "axes[1].plot(r, rho_p_bskg3, color=\"r\", label=\"p\", linewidth=2)\n", "axes[1].plot(r, rho_n_bskg3, color=\"b\", label=\"n\", linewidth=2)\n", "axes[1].plot(\n", " r, rho_p_bskg3 + rho_n_bskg3, color=\"g\", label=\"total\", linestyle=\"--\", linewidth=2\n", ")\n", "axes[1].set_title(\"BSKG3\")\n", "axes[1].set_xlabel(r\"$r$ [fm]\")\n", "axes[1].legend()\n", "\n", "fig.suptitle(r\"$^{16}$O\", fontsize=20)\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 6, "id": "331eeb22-c6a2-4170-a99d-c1c275364858", "metadata": {}, "outputs": [], "source": [ "def pb208_densities_2pf():\n", " rho_n = TwoParameterFermiDensity(R=6.6, a=0.55, N=126)\n", " rho_p = TwoParameterFermiDensity(R=6.3, a=0.547, N=82)\n", " return rho_p, rho_n" ] }, { "cell_type": "code", "execution_count": 7, "id": "ad28a17d-0dcd-4585-b9d6-01b56b97e62a", "metadata": {}, "outputs": [], "source": [ "def norm_and_rms_radii(rho, R):\n", " m0 = 4 * np.pi * np.trapezoid(rho * R**2, R)\n", " m2 = 4 * np.pi * np.trapezoid(rho * R**4, R)\n", " return m0, np.sqrt(m2 / m0)" ] }, { "cell_type": "code", "execution_count": 8, "id": "7038a60b-a9bf-4bfd-aa49-f9d12aeb33e0", "metadata": {}, "outputs": [], "source": [ "def print_density_stats(rho_p, rho_n, R):\n", " N, rms_n = norm_and_rms_radii(rho_n, R)\n", " Z, rms_p = norm_and_rms_radii(rho_p, R)\n", " Z, rms_m = norm_and_rms_radii(rho_p + rho_n, R)\n", " print(f\"N: {N:1.2f}\")\n", " print(f\"Z: {Z:1.2f}\")\n", " print(f\"rms_n: {rms_n:1.2f} fm\")\n", " print(f\"rms_p: {rms_p:1.2f} fm\")\n", " print(f\"rms_m: {rms_m:1.2f} fm\")\n", " print(f\"nskin: {rms_n - rms_p:1.3f} fm\")\n", "\n", "\n", "def plot_densities(ax, rho_p, rho_n, R):\n", " ax.plot(R, rho_n, color=\"b\", label=\"n\", linewidth=2)\n", " ax.plot(R, rho_p, color=\"r\", label=\"p\", linewidth=2)\n", " ax.plot(R, rho_n + rho_p, color=\"g\", label=\"total\", linewidth=2)" ] }, { "cell_type": "code", "execution_count": 9, "id": "27ae3e78-0fb0-43d3-aaa6-5c149cebef2a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "208-Pb\n", "\n", "2pf:\n", "=======================\n", "N: 126.00\n", "Z: 208.00\n", "rms_n: 5.51 fm\n", "rms_p: 5.29 fm\n", "rms_m: 5.42 fm\n", "nskin: 0.219 fm\n", "\n", "d1m:\n", "=======================\n", "N: 126.00\n", "Z: 208.00\n", "rms_n: 5.58 fm\n", "rms_p: 5.44 fm\n", "rms_m: 5.52 fm\n", "nskin: 0.131 fm\n", "\n", "bskg3\n", "=======================\n", "N: 126.00\n", "Z: 208.00\n", "rms_n: 5.61 fm\n", "rms_p: 5.45 fm\n", "rms_m: 5.54 fm\n", "nskin: 0.162 fm\n" ] } ], "source": [ "R = np.linspace(0.0, 15.0, 201)\n", "rho_p_2pf, rho_n_2pf = pb208_densities_2pf()\n", "rho_p_d1m, rho_n_d1m = density.densities(208, 82, R, model=\"d1m\")\n", "rho_p_bskg3, rho_n_bskg3 = density.densities(208, 82, R, model=\"bskg3\")\n", "print(\"208-Pb\")\n", "print(\"\\n2pf:\")\n", "print(\"=======================\")\n", "print_density_stats(np.array(rho_p_2pf(R)), np.array(rho_n_2pf(R)), R)\n", "\n", "print(\"\\nd1m:\")\n", "print(\"=======================\")\n", "print_density_stats(rho_p_d1m, rho_n_d1m, R)\n", "\n", "print(\"\\nbskg3\")\n", "print(\"=======================\")\n", "print_density_stats(rho_p_bskg3, rho_n_bskg3, R)" ] }, { "cell_type": "code", "execution_count": 10, "id": "1cf76478-3527-4dbd-b83e-ca2160751704", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=(6, 7), sharex=True)\n", "fig.suptitle(r\"$^{208}$Pb\", fontsize=20)\n", "plot_densities(axes[0], np.array(rho_p_2pf(R)), np.array(rho_n_2pf(R)), R)\n", "plot_densities(axes[1], rho_p_d1m, rho_n_d1m, R)\n", "plot_densities(axes[2], rho_p_bskg3, rho_n_bskg3, R)\n", "\n", "axes[0].legend()\n", "axes[2].set_xlabel(r\"$r$ [fm]\")\n", "\n", "axes[0].set_ylabel(r\"$\\rho(r)$ [fm$^{-3}$]\")\n", "axes[1].set_ylabel(r\"$\\rho(r)$ [fm$^{-3}$]\")\n", "axes[2].set_ylabel(r\"$\\rho(r)$ [fm$^{-3}$]\")\n", "\n", "axes[0].set_title(r\"2pF\")\n", "axes[1].set_title(r\"D1M\")\n", "axes[2].set_title(r\"BSKG3\")\n", "\n", "axes[0].set_xlim([-0.1, 11])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "e3336aa4-d8fe-4e88-ad52-3512fe3c8875", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }