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

¹ Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan, ROC
² Dept. of Electro-Optical Engineering, National Taipei University of Technology, Taipei, 10608, Taiwan, ROC
³ Department of Physics, State University New York at Stony Brook, Stony Brook, New York 11794, USA

^a e-mail: phtzengyh@sinica.edu.tw
^b e-mail: sytsay@mail.ntut.edu.tw
^c e-mail: kuo@tonic.physics.sunysb.edu

Published online: 25 March 2016

Abstract

Using two-nucleon force alone is usually inadequate to interpret nuclear systems’ experimental data. We adopt a chiral N³LO two-nucleon potential V_2N with the inclusion of an in-medium three-nucleon (NNN) force V̄_3N to calculate binding energies of closed-shell nuclei. The matrix elements of low momentum nucleon-nucleon potential V_low−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.