Relativistic formulation of Glauber theory for A(e,e′p) reactions

Abstract

At sufficiently large proton energies, Glauber multiple-scattering theory offers good opportunities for describing the final state interactions in electro-induced proton emission off nuclear targets. A fully unfactorized relativistic formulation of Glauber multiple-scattering theory is presented. The effect of truncating the Glauber multiple-scattering series is discussed. Relativistic effects in the description of the final-state interactions are found not to exceed the few percent level. Also the frequently adopted approximation of replacing the wave functions for the individual scattering nucleons by some average density, is observed to have a minor impact on the results when obtained in the independent-particle model. Predictions for the separated 4 He(e, e p) response functions are given in quasi-elastic kinematics and a domain corresponding with 1 Q 2 2 (GeV) 2 .

Density dependence of quasifree single-nucleon knockout reactions

“…The distorted momentum distribution is defined as in Eq. (14) whereby S (p,2p) RMSGA is replaced with S (e,e p) RMSGA that adopts the form [17] S (e,e p)…”

“…In Refs. [17] and [23] we developed a relativized version of Glauber multiple-scattering theory. In this so-called RMSGA approach the eikonal phases are diagonal 2 × 2 matrices…”

“…where pN , β pN , σ tot pN have been determined from the database of proton-proton and proton-neutron cross sections [17].…”

“…This substitution has a relatively minor impact on the computed effect of ISI/FSI in the RMSGA model [17]. Without any loss of generality the ρ [1] A ( r) can be replaced by the ratio of the two-body density ρ [2] A [normalized as d r 1 d r 2 ρ [2] A ( r 1 , r 2 ) = A(A − 1)] and the one-body density…”

Effects of Density-Dependent Weak Form Factors and Final State Interaction for Neutrino-Nucleus Scattering in the Quasi-Elastic Region

“…Recently, there are two methods to treat the FSI in the ν − A scattering: one is the complex optical potential [9] and the other is the relativistic multiple scattering Glauber approximation (RMSGA) developed by Ghent group [10]. The two relativistic models, which are a relativistic distorted wave impulse approximation (DWIA) and the RMSGA, were compared and then two models provide iden-tical results [11].…”