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

Shwu-Yun Tsay Tzeng,Yiharn Tzeng,T T S Kuo

doi:10.1051/epjconf/201611306009

Abstract

Using two-nucleon force alone is usually inadequate to interpret nuclear systems’ experimental data. We adopt a chiral N 3 LO two-nucleon potential V 2N with the inclusion of an in-medium three-nucleon (NNN) force V 3N 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.

Highlights

The main purpose of this work is to investigate the contributions of a chiral N3LO two-nucleon potential V2N and an in-medium three-nucleon (3N) force V3N[1] to binding energies of closed shell nuclei, such as 16O, and 40Ca
The particle-particle hole-hole ring diagrams are summed to all orders in this expansion
The low momentum Vlow−k effective interaction matrix elements[4] of V2N and V3N are calculated for the uses in the ring diagram formulism

Summary

Introduction

The main purpose of this work is to investigate the contributions of a chiral N3LO two-nucleon potential V2N and an in-medium three-nucleon (3N) force V3N[1] to binding energies of closed shell nuclei, such as 16O, and 40Ca. Such ring-diagram calculations for closed-shell nuclei using realistic V2N and V3N have not been carried out. The low momentum Vlow−k effective interaction matrix elements[4] of V2N and V3N are calculated for the uses in the ring diagram formulism.

Objectives

Results

Conclusion