Relativistic Green's function approach to parity-violating quasielastic electron scattering

Abstract

A relativistic Green's function approach to parity-violating quasielastic electron scattering is presented. The components of the hadron tensor are expressed in terms of the single particle Green's function, which is expanded in terms of the eigenfunctions of the non-Hermitian optical potential, in order to account for final state interactions without any loss of flux. Results for 12 C, 16 O, and 40 Ca are presented and discussed. The effect of the strange quark contribution to the nuclear current is investigated.

Relativistic description of final-state interactions in neutral-current neutrino and antineutrino cross sections

“…A different description of FSI involves the use of relativistic Green's function (RGF) techniques [61,62,68,69,[73][74][75][76][77][78]. In the RGF model the components of the nuclear response are written in terms of the single-particle optical model Green's function; its spectral representation, which is based on a biorthogonal expansion in terms of a non-Hermitian OP H and of its Hermitian conjugate H † , can be exploited to avoid the explicit calculation of the single-particle Green's function and obtain the components of the hadron tensor [61,62].…”

Elastic and quasi-elastic electron scattering on theN=14, 20, and 28 isotonic chains

“…In other approaches FSI are included in relativistic DWIA (RDWIA) calculations where the final nucleon state is evaluated with real potentials. In a different description of FSI relativistic Green's function (RGF) techniques [48,[63][64][65][66][67][92][93][94][95][96] are used.…”

“…Because of the analyticity properties of the OP, the RGF model fulfills the Coulomb sum rule [63,92,97]. More details about the RGF model can be found in [48,[63][64][65][66][67][92][93][94][95][96] The RGF results can give a satisfactory description of experimental (e, e ′ ) cross sections in the QE region [48,66]. In particular, the RGF provides a significant asymmetry in the scaling function, in agreement with the general behavior of electron scattering data that present a significant tail extended to large values of the transferred energy [98].…”

“…For the inclusive QE electron scattering calculations are performed with the relativistic Green's function (RGF) model, which has already been widely and successfully applied to the analysis of QE electron and neutrino-nucleus scattering data on different nuclei [63][64][65][66][67][68][69][70].…”

Quasielastic scattering with the relativistic Green’s function approach

“…In the relativistic plane-wave impulse approximation (RPWIA), FSI are simply neglected. In another approach, FSI are accounted for in relativistic DWIA (RDWIA) calculations by including only the real part of the relativistic optical potential (rROP).In the RGF techniques [9,10,11,12,13,14,15,16,17,18,19], FSI are described in the inclusive scattering by the same complex OP as in the exclusive scattering, but the imaginary part is used in the two cases in a different way and in the inclusive reaction the flux, although is redistributed in all the channels, is conserved. In the RGF model with suitable approximations, which are mainly related to the impulse approximation, the components of the hadron tensor are written in terms of the s.p.…”