The role of the $\Delta$(1232) on the longitudinal response in the inclusive electron scattering reaction

Abstract

We have performed a many-body calculation of the longitudinal nuclear $(e,e^{\prime })$ reaction employing a Second RPA (SRPA) formalism which contains the $\Delta$(1232). More explicitly, our scheme contains RPA correlations as well as Hartree-Fock and second order self-energies, where an accurate evaluation of exchange terms is achieved. Using this formalism we have evaluated the longitudinal response function for ${}^{40}Ca$. We give final results at momentum transfers ranging from 300 up to 500 MeV/c, obtaining a good agreement with data.

27 pages, 5 figures

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Cited by in corpus (2)

• On the effect of the Delta(1232) in hypernuclear non-mesonic weak decay: a microscopic approach
• The Longitudinal and Transverse responses in inclusive electron scattering within the RPA framework