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Title: Nuclear theory and event generators for charge-changing neutrino reactions

Abstract

Semi-inclusive $$CC\nu$$ cross sections based on factorized cross sections are studied for a selection of spectral function models with the objective of facilitating the choice of models for use as input into event generators. The basic formalism for such cross sections is presented along with an introduction to constructing spectral functions for simple models based on the independent particle shell model (IPSM), the relativistic Fermi gas model (RFG) and a local density approximation (LDA) based on the RFG. Spectral functions for these models are shown for $$^{16}$$O along with a more sophisticated model which includes nucleon-nucleon interactions.. Inclusive and semi-inclusive cross sections are calculated for these models. Although the inclusive cross sections are all of similar size and shape, the semi-inclusive cross sections are subtantially different depending upon whether the spectral functions contain some features associated with the nuclear shell model or are based on the RFG and LDA models. Here, calculations of average values and standard deviations of the initial neutrino energy using the semi-inclusive cross section for the various models are presented and indicate that there may be simple kinematical descriptions of the average neutrino energy which is common to all of these models.

Authors:
ORCiD logo [1];  [2]
  1. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1572887
Report Number(s):
JLAB-THY-19-3012; DOE/OR/23177-4758; arXiv:1908.00932
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:  
FG02-94ER40818; AC05-06OR23177; FG02-97ER41028
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 100; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Van Orden, J. W., and Donnelly, T. W. Nuclear theory and event generators for charge-changing neutrino reactions. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.100.044620.
Van Orden, J. W., & Donnelly, T. W. Nuclear theory and event generators for charge-changing neutrino reactions. United States. doi:10.1103/PhysRevC.100.044620.
Van Orden, J. W., and Donnelly, T. W. Thu . "Nuclear theory and event generators for charge-changing neutrino reactions". United States. doi:10.1103/PhysRevC.100.044620.
@article{osti_1572887,
title = {Nuclear theory and event generators for charge-changing neutrino reactions},
author = {Van Orden, J. W. and Donnelly, T. W.},
abstractNote = {Semi-inclusive $CC\nu$ cross sections based on factorized cross sections are studied for a selection of spectral function models with the objective of facilitating the choice of models for use as input into event generators. The basic formalism for such cross sections is presented along with an introduction to constructing spectral functions for simple models based on the independent particle shell model (IPSM), the relativistic Fermi gas model (RFG) and a local density approximation (LDA) based on the RFG. Spectral functions for these models are shown for $^{16}$O along with a more sophisticated model which includes nucleon-nucleon interactions.. Inclusive and semi-inclusive cross sections are calculated for these models. Although the inclusive cross sections are all of similar size and shape, the semi-inclusive cross sections are subtantially different depending upon whether the spectral functions contain some features associated with the nuclear shell model or are based on the RFG and LDA models. Here, calculations of average values and standard deviations of the initial neutrino energy using the semi-inclusive cross section for the various models are presented and indicate that there may be simple kinematical descriptions of the average neutrino energy which is common to all of these models.},
doi = {10.1103/PhysRevC.100.044620},
journal = {Physical Review C},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {10}
}

Journal Article:
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