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

Journal Article · Wed Jul 22 00:00:00 EDT 2020 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-020-8236-8· OSTI ID:1660458

Bodek, Arie ^[1]; Cai, Tejin ^[1]

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1. Univ. of Rochester, NY (United States)

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 .

• Research Organization: Univ. of Rochester, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0008475
• OSTI ID: 1660458
• Journal Information: European Physical Journal. C, Particles and Fields, Vol. 80, Issue 7; ISSN 1434-6044
• Publisher: Springer
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS