Role of final state interaction and of three-body force on the longitudinal response function of 4He

TL;DR

This paper presents an ab-initio calculation of the longitudinal response function of 4He, highlighting the significant effects of final state interactions and three-nucleon forces across various energies and momentum transfers.

Contribution

It introduces a comprehensive four-body continuum calculation including two- and three-nucleon forces using the Lorentz integral transform method, providing new insights into nuclear response functions.

Findings

Three-nucleon force reduces the quasi-elastic peak by 10% at q=300-500 MeV/c.

Three-nucleon force effects increase to about 40% at q=100 MeV/c.

Final state interactions significantly influence the response function at various energies.

Abstract

We present an ab-initio calculation of the longitudinal electron scattering response function off 4He with two- and three-nucleon forces and compare to experimental data. The full four-body continuum dynamics is considered via the Lorentz integral transform method. The importance of the final state interaction is shown at various energies and momentum transfers q. The three-nucleon force reduces the quasi-elastic peak by 10% for q between 300 and 500 MeV/c. Its effect increases significantly at lower q, up to about 40% at q=100 MeV/c. At very low q, however, data are missing.