2021/11/05 by A. Bodek, Bodek, Arie · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2111.03631
openalex publication_date 2021/11/05 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
The expressions for the overall effect of Pauli blocking in quasielastic (QE)\nlepton scattering from nuclear targets within the framework of the Relativistic\nFermi Gas (RFG) given in several publications are incorrect. For example, the\nexpressions published by Bell and Llewelyn Smith in 1972 are incorrect\n(probably a typographical error). The expressions for Pauli blocking presented\nin several subsequent publications including the paper of C.H. Llewelyn Smith\nin 1972 and the paper of Paschos and Yu in 2002 have the same error. Another\nexample is a 1992 paper by Singh and Oset which has a different (probably also\na typographical) error. Other papers such as the papers of Tsai in 1974 and\nBosted and Mamyan in 2012 use the correct expressions. In this short preprint\nwe review the geometrical derivation of the overall reduction of the QE cross\nsections due to Pauli blocking for electron and neutrino scattering for targets\nwith equal numbers of neutrons and protons and for targets with unequal numbers\nof neutrons and protons and derive the correct expressions. However, we note\nthat the effects of Pauli blocking within the framework of the RFG model are\nmuch larger than in other more realistic models of QE scattering such as\n\ψ^\′ superscaling or a spectral function approach.\n