Relativistic low-momentum interactions from renormalization group

Abstract

The relativistic Vlowk is developed from a renormalization group method for the first time, to provide softened NN interactions for relativistic abinitio calculations. Starting from a given bare NN interaction, the renormalization group method eliminates the repulsive core while keeping the low-energy on-shell T-matrix and, consequently, the two-body observables unchanged. We derive the relativistic Vlowk interactions from the relativistic Bonn NN interactions across a wide range of cutoffs and study nuclear matter using the relativistic Brueckner-Hartree-Fock theory in the full Dirac space. Our results demonstrate that the resulting relativistic Vlowk interactions provide a proper description of nuclear saturation, exhibiting only mild cutoff dependence. Therefore, the relativistic Vlowk shows promise for providing reliable softened NN interactions for future relativistic abinitio calculations of finite nuclei.

Keywords

• Relativistic effects
• Nuclear abinitio calculation
• Nuclear forces
• Nuclear matter
• Renormalization group