Global Extraction of the $\rm^{12}C$ Nuclear Electromagnetic Response Functions (${\cal R}_L$ and ${\cal R}_T$) and Comparisons to Nuclear Theory and Neutrino/Electron Monte Carlo Generators
Arie Bodek, M. E. Christy, Zihao Lin, Giulia-Maria Bulugean, Amii Matamoros Delgado, Artur M. Ankowski, Julia Tena Vidal
{"title":"Global Extraction of the $\\rm^{12}C$ Nuclear Electromagnetic Response Functions (${\\cal R}_L$ and ${\\cal R}_T$) and Comparisons to Nuclear Theory and Neutrino/Electron Monte Carlo Generators","authors":"Arie Bodek, M. E. Christy, Zihao Lin, Giulia-Maria Bulugean, Amii Matamoros Delgado, Artur M. Ankowski, Julia Tena Vidal","doi":"arxiv-2409.10637","DOIUrl":null,"url":null,"abstract":"We have performed a global extraction of the ${\\rm ^{12}C}$ longitudinal\n(${\\cal R}_L$) and transverse (${\\cal R}_T$) nuclear electromagnetic response\nfunctions from an analysis of all available electron scattering data on carbon.\nThe response functions are extracted for energy transfer $\\nu$, spanning the\nnuclear excitation, quasielastic (QE), resonance and inelastic continuum over a\nlarge range of the square of the four-momentum transfer ($Q^2$), for fixed\nvalues of $Q^2$ and for fixed values of 3-momentum transfer $\\bf q$. The data\nsample consists of approximately 10,000 differential electron scattering and\nphoto-absorption-cross section measurement points for ${\\rm ^{12}C}$. In\naddition, we perform a universal fit to all ${\\rm ^{12}C}$ electron scattering\ndata which also provides parmeterizations of ${\\cal R}_L$ and ${\\cal R}_T$ over\na larger kinematic range. Since the extracted response functions and the\nuniversal fit cover a large range of $Q^2$ and $\\nu$, they can be readily used\nfor comparison to theoretical predictions as well as validating and tuning\nMonte Carlo generators for electron and neutrino scattering experiments. In\nthis paper we focus on the nuclear excitation, QE, and $\\Delta$(1232) regions\nand compare the measurements to predictions of the following theoretical\napproaches: ``Energy Dependent-Relativistic Mean Field'' (ED-RMF), ``Green's\nFunction Monte Carlo'' (GFMC), \"Short Time Approximation Quantum Monte Carlo\"\n(STA-QMC), \"Correlated Fermi Gas\" (CFG), as well as the {\\textsc{NuWro}}, \\\n{{\\sc{achilles}}}~ and {{\\sc{genie}}}~generators. We find that among all the\nmodels ED-RMF provides the best description of both the QE and {\\it nuclear\nexcitations} response functions over the largest kinematic range $0.01\\le Q^2\n\\le 1.25$ GeV$^2$. The ED-RMF formalism has the added benefit that it should be\ndirectly applicable to the same kinematic regions for neutrino scattering.","PeriodicalId":501206,"journal":{"name":"arXiv - PHYS - Nuclear Experiment","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Nuclear Experiment","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10637","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We have performed a global extraction of the ${\rm ^{12}C}$ longitudinal
(${\cal R}_L$) and transverse (${\cal R}_T$) nuclear electromagnetic response
functions from an analysis of all available electron scattering data on carbon.
The response functions are extracted for energy transfer $\nu$, spanning the
nuclear excitation, quasielastic (QE), resonance and inelastic continuum over a
large range of the square of the four-momentum transfer ($Q^2$), for fixed
values of $Q^2$ and for fixed values of 3-momentum transfer $\bf q$. The data
sample consists of approximately 10,000 differential electron scattering and
photo-absorption-cross section measurement points for ${\rm ^{12}C}$. In
addition, we perform a universal fit to all ${\rm ^{12}C}$ electron scattering
data which also provides parmeterizations of ${\cal R}_L$ and ${\cal R}_T$ over
a larger kinematic range. Since the extracted response functions and the
universal fit cover a large range of $Q^2$ and $\nu$, they can be readily used
for comparison to theoretical predictions as well as validating and tuning
Monte Carlo generators for electron and neutrino scattering experiments. In
this paper we focus on the nuclear excitation, QE, and $\Delta$(1232) regions
and compare the measurements to predictions of the following theoretical
approaches: ``Energy Dependent-Relativistic Mean Field'' (ED-RMF), ``Green's
Function Monte Carlo'' (GFMC), "Short Time Approximation Quantum Monte Carlo"
(STA-QMC), "Correlated Fermi Gas" (CFG), as well as the {\textsc{NuWro}}, \
{{\sc{achilles}}}~ and {{\sc{genie}}}~generators. We find that among all the
models ED-RMF provides the best description of both the QE and {\it nuclear
excitations} response functions over the largest kinematic range $0.01\le Q^2
\le 1.25$ GeV$^2$. The ED-RMF formalism has the added benefit that it should be
directly applicable to the same kinematic regions for neutrino scattering.