Impact of neutron-proton pairing on the nucleon high-momentum distribution in symmetric nuclear matter

Abstract

The effect of neutron-proton ($np$) pairing on the high-momentum tail (HMT) of nucleon momentum distributions in symmetric nuclear matter is investigated within a combined framework of the extended Brueckner-Hartree-Fock approach with off-shell BCS theory. The HMT ratio, quantifying the high-momentum fraction in the BCS state relative to the normal state, reaches about $1.06$ around the density of $0.052{\mathrm{fm}}^{-3}$, indicating that the maximal contribution of the $np$ pairing, amounts to approximately 6\% that from short-range correlations (SRCs). This contribution exhibits a density dependence that closely follows the squared relative pairing gap ${\tilde{\Delta }}_F=Z_F\Delta (k_F)$ with respect to the kinetic energy $E_{k_F}^{\ast }$ evaluated using the effective mass, suggesting that ${\tilde{\Delta }}_F^2/E_{k_F}^{\ast 2}$ provides a qualitative measure of the $np$ pairing effect on the HMT. These findings highlight the significant role of $np$ pairing and its interplay with SRCs in shaping nucleon momentum distributions in nuclear matter.