Published May 24, 2017 | Version v1
Publication

The frozen nucleon approximation in two-particle two-hole response functions

Description

We present a fast and efficient method to compute the inclusive two-particle two-hole (2p–2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first neglects the motion of the two initial nucleons below the Fermi momentum, which are considered to be at rest. This approximation, which is reasonable for high values of the momentum transfer, turns out also to be quite good for moderate values of the momentum transfer q kF . The second approximation involves using in the "frozen" meson-exchange currents (MEC) an effective -propagator averaged over the Fermi sea. Within the resulting "frozen nucleon approximation", the inclusive 2p–2h responses are accurately calculated with only a one-dimensional integral over the emission angle of one of the final nucleons, thus drastically simplifying the calculation and reducing the computational time. The latter makes this method especially well-suited for implementation in Monte Carlo neutrino event generators.

Abstract

España, Ministerio de Economía y Competitividad FIS2014-559386-P

Abstract

España, Ministerio de Economía y Competitividad FIS2014-53448-C2-1

Abstract

España, Junta de Andalucía .FQM-225

Abstract

España, Junta de Andalucía FQM160

Additional details

Created:
March 27, 2023
Modified:
December 1, 2023