Abstract
So far, the nature of three-nucleon forces (3NFs) derived by the chiral effective field theory has been intensively investigated by various theoretical approaches. In this work, to address the chiral 3NF within the shell-model framework, three-body matrix elements are formulated in terms of the harmonic oscillator basis functions, by adopting the nonlocal regulator. We perform a benchmark test for p-shell nuclei inorder to confirm our framework. Then we show that the contribution of the 3NF to the monopole component of the effective shell model Hamiltonian plays an essential role to account for the shell evolution of f p-shell nuclei.
Highlights
The realistic shell model (RSM) employing a realistic nuclear force is one of the theoretical tools describing the nuclear structure microscopically and exploring the nature of the nuclear force
As regards obtaining the state-of-theart nuclear force, the chiral effective field theory [1] has a great advantage that many-body forces appear on an equal footing
Zuker suggested by a phenomenological way that the RSM Hamiltonian consisting of a realistic two-nucleon force (2NF) needs to be corrected due to the absence of three-nucleon forces (3NFs) [2]
Summary
The realistic shell model (RSM) employing a realistic nuclear force is one of the theoretical tools describing the nuclear structure microscopically and exploring the nature of the nuclear force. It was shown that, by the RSM calculations, 3NFs play a significant role to explain the neutron drip line of the oxygen isotope [3].
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