Contributions of chiral two- and three-nucleon interactions to closed shell nuclei

Abstract

Using two-nucleon force alone is usually inadequate to interpret nuclear systems’ experimental data. We adopt a chiral N3LO two-nucleon potential V2N with the inclusion of an in-medium three-nucleon (NNN) force V̄3N to calculate binding energies of closed-shell nuclei. The matrix elements of low momentum nucleon-nucleon potential Vlow−k obtained from integrating the high momentum part of a realistic potentials is inputted in the particle-particle hole-hole ring diagram calculation to study nuclear properties. Nuclear binding energies are accurately reproduced. Without this three-nucleon force, the nuclear binding energy is too weak, as already known. The correction from ring diagrams of order higher than 1 can not be ignored.