Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach

TL;DR

This paper investigates how tensor correlations, especially in the T=0 neutron-proton channel, significantly deplete the nuclear Fermi sea in symmetric nuclear matter using an extended BHF approach with AV18 interaction and three-body forces.

Contribution

It provides a detailed analysis of tensor correlation effects on Fermi sea depletion, highlighting the dominant role of the T=0 $^3SD_1$ tensor channel and the impact of three-body forces at high densities.

Findings

T=0 neutron-proton correlations dominate Fermi sea depletion.

Depletion mainly arises from the $^3SD_1$ tensor channel.

Three-body forces enhance depletion at high densities.

Abstract

We have investigated the effect of tensor correlations on the depletion of nuclear Fermi sea in symmetric nuclear matter within the framework of the extended Brueckner-Hartree-Fock approach by adopting the AV18 two-body interaction and a microscopic three-body force. The contributions from various partial wave channels including the isospin-singlet T=0 channel, the isospin-triplet T=1 channel and the T=0 tensor 3SD1 channel have been calculated. The T=0 neutron-proton correlations play a dominated role in causing the depletion of nuclear Fermi sea. The T=0 correlation-induced depletion turns out to stem almost completely from the $^3SD_1$ tensor channel. The isospin-singlet T=0 3SD1 tensor correlations is shown to response for most of the depletion, which amounts to more than 70 percent out of the total depletion in the density region considered. The TBF turns out to leads to an enhancement of the depletion at high densities well above the empirical saturation density and its effect increases as a function of density.