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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.

Details

1009240
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
Publication title
arXiv.org; Ithaca
Publication year
2024
Publication date
Sep 16, 2024
Section
High Energy Physics - Experiment; Nuclear Experiment
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2024-09-18
Milestone dates
2024-09-16 (Submission v1)
Publication history
 
 
   First posting date
18 Sep 2024
ProQuest document ID
3106552615
Document URL
https://www.proquest.com/working-papers/global-extraction-rm-12-c-nuclear-electromagnetic/docview/3106552615/se-2?accountid=208611
Full text outside of ProQuest
Copyright
© 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-09-19
Database
ProQuest One Academic