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Title: Comparison of optical potential for nucleons and $$\varDelta $$ resonances

Abstract

Precise modeling of neutrino interactions on nuclear targets is essential for neutrino oscillations experiments. The modeling of the energy of final state particles in quasielastic (QE) scattering and resonance production on bound nucleons requires knowledge of both the removal energy of the initial state bound nucleon as well as the average Coulomb and nuclear optical potentials for final state leptons and hadrons. We extract the average values of the real part of the nuclear optical potential for final state nucleons ($$U_{opt}^{QE}$$ U opt QE ) as a function of the nucleon kinetic energy from inclusive electron scattering data on nuclear targets ($$_\mathbf{6 }^\mathbf{12 }{} \mathbf{C} $$ 6 12 C +$$_\mathbf{8 }^\mathbf{16 }{} \mathbf{O} $$ 8 16 O , $$_\mathbf{20 }^\mathbf{40 }{} \mathbf{Ca} $$ 20 40 Ca +$$_\mathbf{18 }^\mathbf{40 }{} \mathbf{Ar} $$ 18 40 Ar , $$_\mathbf{3 }^\mathbf{6 }{} \mathbf{Li} $$ 3 6 Li , $$_\mathbf{18 }^\mathbf{27 }{} \mathbf{Al} $$ 18 27 Al , $$_\mathbf{26 }^\mathbf{56 }{} \mathbf{Fe} $$ 26 56 Fe , $$_\mathbf{82 }^\mathbf{208 }{} \mathbf{Pb} $$ 82 208 Pb ) in the QE region and compare to calculations. We also extract values of the average of the real part of the nuclear optical potential for a $$\varDelta (1232)$$ Δ ( 1232 ) resonance in the final state ($$U^\varDelta _{opt}$$ U opt Δ ) within the impulse approximation. We find that $$U^\varDelta _{opt}$$ U opt Δ is more negative than $$U_{opt}^{QE}$$ U opt QE with $$U^\varDelta _{opt}\approx $$ U opt Δ 1.5 $$U_{opt}^{QE}$$ U opt QE for $$_\mathbf{6 }^\mathbf{12 }{} \mathbf{C} $$ 6 12 C .

Authors:
 [1];  [1]
  1. Univ. of Rochester, NY (United States)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1660458
Grant/Contract Number:  
SC0008475
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 7; Journal ID: ISSN 1434-6044
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Bodek, Arie, and Cai, Tejin. Comparison of optical potential for nucleons and $\varDelta $ resonances. United States: N. p., 2020. Web. doi:10.1140/epjc/s10052-020-8236-8.
Bodek, Arie, & Cai, Tejin. Comparison of optical potential for nucleons and $\varDelta $ resonances. United States. https://doi.org/10.1140/epjc/s10052-020-8236-8
Bodek, Arie, and Cai, Tejin. Wed . "Comparison of optical potential for nucleons and $\varDelta $ resonances". United States. https://doi.org/10.1140/epjc/s10052-020-8236-8. https://www.osti.gov/servlets/purl/1660458.
@article{osti_1660458,
title = {Comparison of optical potential for nucleons and $\varDelta $ resonances},
author = {Bodek, Arie and Cai, Tejin},
abstractNote = {Precise modeling of neutrino interactions on nuclear targets is essential for neutrino oscillations experiments. The modeling of the energy of final state particles in quasielastic (QE) scattering and resonance production on bound nucleons requires knowledge of both the removal energy of the initial state bound nucleon as well as the average Coulomb and nuclear optical potentials for final state leptons and hadrons. We extract the average values of the real part of the nuclear optical potential for final state nucleons ($U_{opt}^{QE}$ U opt QE ) as a function of the nucleon kinetic energy from inclusive electron scattering data on nuclear targets ($_\mathbf{6 }^\mathbf{12 }{} \mathbf{C} $ 6 12 C +$_\mathbf{8 }^\mathbf{16 }{} \mathbf{O} $ 8 16 O , $_\mathbf{20 }^\mathbf{40 }{} \mathbf{Ca} $ 20 40 Ca +$_\mathbf{18 }^\mathbf{40 }{} \mathbf{Ar} $ 18 40 Ar , $_\mathbf{3 }^\mathbf{6 }{} \mathbf{Li} $ 3 6 Li , $_\mathbf{18 }^\mathbf{27 }{} \mathbf{Al} $ 18 27 Al , $_\mathbf{26 }^\mathbf{56 }{} \mathbf{Fe} $ 26 56 Fe , $_\mathbf{82 }^\mathbf{208 }{} \mathbf{Pb} $ 82 208 Pb ) in the QE region and compare to calculations. We also extract values of the average of the real part of the nuclear optical potential for a $\varDelta (1232)$ Δ ( 1232 ) resonance in the final state ($U^\varDelta _{opt}$ U opt Δ ) within the impulse approximation. We find that $U^\varDelta _{opt}$ U opt Δ is more negative than $U_{opt}^{QE}$ U opt QE with $U^\varDelta _{opt}\approx $ U opt Δ ≈ 1.5 $U_{opt}^{QE}$ U opt QE for $_\mathbf{6 }^\mathbf{12 }{} \mathbf{C} $ 6 12 C .},
doi = {10.1140/epjc/s10052-020-8236-8},
journal = {European Physical Journal. C, Particles and Fields},
number = 7,
volume = 80,
place = {United States},
year = {Wed Jul 22 00:00:00 EDT 2020},
month = {Wed Jul 22 00:00:00 EDT 2020}
}

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