Low-momentum relativistic nucleon-nucleon potentials: Nuclear matter

• DOI: 10.1103/physrevc.109.034002
• Publication Date: 2024-03-06T15:13:46Z
• Authors: Chencan Wang; Sibo Wang; Hui Tong; Jinniu Hu; Jiangming Yao
• Keywords: Momentum (technical analysis)

A series of relativistic one-boson-exchange potentials for a two-nucleon system, denoted as $\mathrm{OBEP}\mathrm{\ensuremath{\Lambda}}$, is constructed with momentum cutoff $\mathrm{\ensuremath{\Lambda}}$ ranging from $\ensuremath{\infty}$ to 2 ${\mathrm{fm}}^{\ensuremath{-}1}$. These are developed by simultaneous fitting nucleon-nucleon ($NN$) scattering phase shifts, low-energy length, effective range, and the binding energy deuteron. The momentum-space matrix elements low-momentum $\mathrm{OBEP}\mathrm{\ensuremath{\Lambda}}$ ($\mathrm{\ensuremath{\Lambda}}\ensuremath{\leqslant}3\phantom{\rule{4pt}{0ex}}{\mathrm{fm}}^{\ensuremath{-}1}$) demonstrate consistency universal behaviors observed in other realistic $NN$ evolved renormalization group methods. $\mathrm{OBEP}\mathrm{\ensuremath{\Lambda}}\mathrm{s}$ applied calculate equation state symmetric nuclear matter (SNM) within either nonrelativistic (NR) Brueckner-Hartree-Fock (BHF) or (RBHF) frameworks. results show that saturation properties SNM reproduced qualitatively RBHF calculation, but not NR-BHF calculation. This study highlights mechanism explaining matter. remaining discrepancy reproducing empirical calculation using signals necessity including three-nucleon correlations genuine forces.