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arXiv · 1812.03284

The contribution of chiral three-body forces to the monopole component of the effective shell-model Hamiltonian

Y. Z. Ma·L. Coraggio·L. De Angelis·T. Fukui·A. Gargano·N. Itaco·F. R. Xu
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Abstract

We present a study of the role played by realistic three-body forces in providing a reliable monopole component of the effective shell-model Hamiltonian. To this end, starting from a nuclear potential built up within the chiral perturbation theory, we derive effective shell-model Hamiltonians with and without the contribution of the three-body potential and compare the results of shell-model calculations with a set of observables that evidence shell-evolution properties. The testing ground of our investigation are nuclei belonging to fp shell, since the shell evolution towards shell closures in 48Ca and 56Ni provides a paradigm for shell-model Hamiltonians. Our analysis shows that only by including contributions of the three-body force the monopole component of the effective shell-model Hamiltonian is then able to reproduce the experimental shell evolution towards and beyond the closure at N=28.

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Y. Z. Ma, L. Coraggio, L. De Angelis, T. Fukui, A. Gargano, N. Itaco, F. R. Xu. 2019-09-18. The contribution of chiral three-body forces to the monopole component of the effective shell-model Hamiltonian. https://doi.org/10.1103/physrevc.100.034324

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