{ "cells": [ { "cell_type": "markdown", "id": "ff2aa2f3", "metadata": {}, "source": [ "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/beykyle/jitr/blob/main/examples/notebooks/kd03_neutron_dxs_demo.ipynb)" ] }, { "cell_type": "code", "execution_count": null, "id": "a9f39e36", "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# Google Colab setup: installs jitr into the Colab runtime.\n", "# Does nothing when the notebook is run anywhere else.\n", "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " import subprocess\n", "\n", " subprocess.run(\n", " [sys.executable, \"-m\", \"pip\", \"install\", \"-q\", \"jitr\"],\n", " check=True,\n", " )" ] }, { "cell_type": "markdown", "id": "eda26f37", "metadata": {}, "source": [ "# Neutron elastic differential cross sections with default Koning-Delaroche (KD03) parameters\n", "\n", "This demo computes $d\\sigma/d\\Omega$ for elastic neutron scattering on $^{40}$Ca, $^{118}$Sn, and $^{208}$Pb at $E_{\\rm lab} = 14$ and $50$ MeV, using the default (KD03) parameters of the Koning-Delaroche global optical potential\n", "([Koning & Delaroche, Nucl. Phys. A 713 (2003) 231](https://doi.org/10.1016/S0375-9474(02)01321-0)).\n", "\n", "All results are written to a single JSON records file sharing one angular grid.\n", "\n", "Workspaces (the expensive, JIT-compiled solver objects) are built once in their own cell;\n", "potential parameters are passed in a separate evaluation cell, so you can tweak the\n", "parameters and re-run only the evaluation without rebuilding anything." ] }, { "cell_type": "code", "execution_count": 1, "id": "f911a721", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import jitr\n", "from jitr.optical_potentials import kduq" ] }, { "cell_type": "markdown", "id": "ac697cd3", "metadata": {}, "source": [ "## Set up the potential\n", "\n", "`kduq.get_kd03` returns the default KD03 parameter vector (as opposed to\n", "`kduq.get_samples`, which returns the KDUQ posterior samples). The `KDUQ` class\n", "evaluates the corresponding central, spin-orbit, and Coulomb terms for any\n", "parameter vector with this ordering." ] }, { "cell_type": "code", "execution_count": 2, "id": "54aa0e46", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'Ef_0': np.float64(-11.2814),\n", " 'Ef_A': np.float64(0.02646),\n", " 'v1_0': np.float64(59.3),\n", " 'v1_asymm': np.float64(21.0),\n", " 'v1_A': np.float64(0.024),\n", " 'v2_0': np.float64(0.007228),\n", " 'v2_A': np.float64(1.48e-06),\n", " 'v3_0': np.float64(1.994e-05),\n", " 'v3_A': np.float64(2e-08),\n", " 'v4_0': np.float64(7e-09),\n", " 'rv_0': np.float64(1.3039),\n", " 'rv_A': np.float64(0.4054),\n", " 'av_0': np.float64(0.6778),\n", " 'av_A': np.float64(0.0001487),\n", " 'w1_0': np.float64(12.195),\n", " 'w1_A': np.float64(0.0167),\n", " 'w2_0': np.float64(73.55),\n", " 'w2_A': np.float64(0.0795),\n", " 'd1_0': np.float64(16.0),\n", " 'd1_asymm': np.float64(16.0),\n", " 'd2_0': np.float64(0.018),\n", " 'd2_A': np.float64(0.003802),\n", " 'd2_A2': np.float64(8.0),\n", " 'd2_A3': np.float64(156.0),\n", " 'd3_0': np.float64(11.5),\n", " 'rd_0': np.float64(1.3424),\n", " 'rd_A': np.float64(0.01585),\n", " 'ad_0': np.float64(0.5446),\n", " 'ad_A': np.float64(0.0001656),\n", " 'Vso1_0': np.float64(5.922),\n", " 'Vso1_A': np.float64(0.003),\n", " 'Vso2_0': np.float64(0.004),\n", " 'Wso1_0': np.float64(-3.1),\n", " 'Wso2_0': np.float64(160.0),\n", " 'rso_0': np.float64(1.1854),\n", " 'rso_A': np.float64(0.647),\n", " 'aso_0': np.float64(0.59)}" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "neutron = (1, 0)\n", "params_kd03 = kduq.get_kd03(neutron)\n", "omp = kduq.KDUQ(neutron)\n", "\n", "dict(zip(kduq.get_param_names(neutron), params_kd03, strict=True))" ] }, { "cell_type": "markdown", "id": "d8ed14c6", "metadata": {}, "source": [ "## Define the systems and the shared angular grid\n", "\n", "Angles are center-of-mass frame, in radians on $[0, \\pi)$. The same grid is used\n", "for every system and energy so all results can share one grid in the output file." ] }, { "cell_type": "code", "execution_count": 3, "id": "ad8555e5", "metadata": {}, "outputs": [], "source": [ "targets = {\n", " \"40Ca\": (40, 20),\n", " \"118Sn\": (118, 50),\n", " \"208Pb\": (208, 82),\n", "}\n", "energies_MeV = [14.0, 50.0]\n", "\n", "angles_cm_deg = np.linspace(0.5, 179.5, 359)\n", "angles = np.deg2rad(angles_cm_deg)" ] }, { "cell_type": "markdown", "id": "3ee3034b", "metadata": {}, "source": [ "## Build the workspaces\n", "\n", "One `DifferentialWorkspace` per (target, energy). The channel radius and\n", "Lagrange-Legendre basis size are chosen per case from the wavenumber, following\n", "the suggested heuristics. This cell also pays the one-time numba JIT compilation\n", "cost via a warmup call, so the evaluation cell below is fast to re-run." ] }, { "cell_type": "code", "execution_count": 4, "id": "e14b9f76", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('40Ca', 14.0),\n", " ('40Ca', 50.0),\n", " ('118Sn', 14.0),\n", " ('118Sn', 50.0),\n", " ('208Pb', 14.0),\n", " ('208Pb', 50.0)]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "workspaces = {}\n", "for name, target in targets.items():\n", " for Elab in energies_MeV:\n", " reaction = jitr.reactions.ElasticReaction(target=target, projectile=neutron)\n", " kinematics = reaction.kinematics(Elab)\n", "\n", " a = jitr.utils.interaction_range(target[0]) * kinematics.k + 2 * np.pi\n", " N = jitr.utils.suggested_basis_size(a)\n", " workspaces[(name, Elab)] = (\n", " jitr.xs.elastic.DifferentialWorkspace.build_from_system(\n", " reaction=reaction,\n", " kinematics=kinematics,\n", " channel_radius_fm=a / kinematics.k,\n", " solver=jitr.rmatrix.Solver(N),\n", " lmax=60,\n", " angles=angles,\n", " )\n", " )\n", "\n", "# warmup: trigger numba JIT compilation once\n", "ws = next(iter(workspaces.values()))\n", "_ = ws.xs(central_potential=np.zeros_like(ws.radial_grid()))\n", "\n", "list(workspaces)" ] }, { "cell_type": "markdown", "id": "434eb7ee", "metadata": {}, "source": [ "## Evaluate the potential and compute cross sections\n", "\n", "Change `params` here (e.g. to a KDUQ sample, or a hand-modified copy of\n", "`params_kd03`) and re-run just this cell — the workspaces above are reused as-is.\n", "\n", "For a neutron there is no Coulomb interaction: the Coulomb term returned by `omp`\n", "is identically zero and `ws.rutherford` is `None`, so we work with the absolute\n", "cross section in mb/sr rather than a ratio to Rutherford." ] }, { "cell_type": "code", "execution_count": 5, "id": "c6061bd4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n+ 40Ca @ 14.0 MeV: sigma_tot = 2116.9 mb, sigma_rxn = 1249.7 mb\n", "n+ 40Ca @ 50.0 MeV: sigma_tot = 2181.1 mb, sigma_rxn = 818.7 mb\n", "n+ 118Sn @ 14.0 MeV: sigma_tot = 4590.7 mb, sigma_rxn = 1969.8 mb\n", "n+ 118Sn @ 50.0 MeV: sigma_tot = 3464.0 mb, sigma_rxn = 1554.6 mb\n", "n+ 208Pb @ 14.0 MeV: sigma_tot = 5302.5 mb, sigma_rxn = 2525.8 mb\n", "n+ 208Pb @ 50.0 MeV: sigma_tot = 4344.4 mb, sigma_rxn = 2260.8 mb\n" ] } ], "source": [ "params = params_kd03\n", "\n", "results = {}\n", "for key, ws in workspaces.items():\n", " central, spin_orbit, coulomb = omp(\n", " ws.radial_grid(), ws.reaction, ws.kinematics, *params\n", " )\n", " results[key] = ws.xs(central, spin_orbit, coulomb)\n", "\n", "for (name, Elab), xs in results.items():\n", " print(\n", " f\"n+{name:>6s} @ {Elab:5.1f} MeV: \"\n", " f\"sigma_tot = {xs.t:8.1f} mb, sigma_rxn = {xs.rxn:7.1f} mb\"\n", " )" ] }, { "cell_type": "markdown", "id": "9df8c2dc", "metadata": {}, "source": [ "## Plot" ] }, { "cell_type": "code", "execution_count": 6, "id": "9e1e81e5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, len(energies_MeV), figsize=(11, 4.5), sharey=True)\n", "colors = {name: f\"C{i}\" for i, name in enumerate(targets)}\n", "\n", "for ax, Elab in zip(axes, energies_MeV, strict=True):\n", " for name in targets:\n", " ax.plot(\n", " angles_cm_deg,\n", " results[(name, Elab)].dsdo,\n", " color=colors[name],\n", " label=rf\"n + $^{{{name[:-2]}}}${name[-2:]}\",\n", " )\n", " ax.set_yscale(\"log\")\n", " ax.set_xlabel(r\"$\\theta_{\\rm cm}$ [deg]\")\n", " ax.set_title(rf\"$E_{{\\rm lab}} = {Elab:.0f}$ MeV\")\n", "\n", "axes[0].set_ylabel(r\"$d\\sigma/d\\Omega$ [mb/sr]\")\n", "axes[0].legend()\n", "fig.suptitle(\"Neutron elastic scattering, KD03 defaults\")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "b088ea33", "metadata": {}, "source": [ "## Write all results to a single JSON records file\n", "\n", "The angular grid is stored once at the top level; each record holds the\n", "per-system, per-energy arrays and integrated cross sections." ] }, { "cell_type": "code", "execution_count": 7, "id": "24a83fae", "metadata": {}, "outputs": [], "source": [ "output = {\n", " \"potential\": \"Koning-Delaroche KD03 (default parameters)\",\n", " \"projectile\": \"n\",\n", " \"angle_cm_deg\": angles_cm_deg.tolist(),\n", " \"records\": [],\n", "}\n", "\n", "for (name, Elab), xs in results.items():\n", " ws = workspaces[(name, Elab)]\n", " A, Z = targets[name]\n", " output[\"records\"].append(\n", " {\n", " \"target\": name,\n", " \"A\": A,\n", " \"Z\": Z,\n", " \"Elab_MeV\": Elab,\n", " \"Ecm_MeV\": ws.kinematics.Ecm,\n", " \"k_cm_per_fm\": ws.kinematics.k,\n", " \"dsdo_mb_per_sr\": xs.dsdo.tolist(),\n", " \"Ay\": xs.Ay.tolist(),\n", " \"sigma_total_mb\": xs.t,\n", " \"sigma_reaction_mb\": xs.rxn,\n", " }\n", " )\n", "\n", "# we could write to disk like so:\n", "\n", "# outfile = Path(\"kd03_neutron_dxs.json\")\n", "# outfile.write_text(json.dumps(output, indent=1))\n", "# print(\n", "# f\"wrote {len(output['records'])} records \"\n", "# f\"({len(output['angle_cm_deg'])} angles each) to {outfile.resolve()}\"\n", "# )" ] } ], "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 }