Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force

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

doi:10.1103/physrevc.98.044305

Title: Realistic shell-model calculations for $p$ -shell nuclei including contributions of a chiral three-body force

Journal Article · Fri Oct 05 00:00:00 EDT 2018 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.98.044305· OSTI ID:1611277

Fukui, T. ^[1]; De Angelis, L. ^[1]; Ma, Y. Z. ^[2]; Coraggio, L. ^[1]; Gargano, A. ^[1]; Itaco, N. ^[3]; Xu, F. R. ^[2]

Complesso Univ. di Monte S. Angelo, Napoli (Italy)
Peking Univ., Beijing (China)
Complesso Univ. di Monte S. Angelo, Napoli (Italy); Univ. degli Studi della Campania “Luigi Vanvitelli,”, Caserta (Italy)

In this study we present an evolution of our derivation of the shell-model effective Hamiltonian, namely introducing effects of three-body contributions. More precisely, we consider a three-body potential at next-to-next-to-leading order in chiral perturbation theory, and the induced three-body forces that arise from many-body correlations among valence nucleons. The first one is included, in the derivation of the effective Hamiltonian for one- and two-valence nucleon-systems, at first order in the many-body perturbation theory. Namely, we include only the three-body interaction between one or two valence nucleons and those belonging to the core. For nuclei with more than two valence particles, both induced—turned on by the two-body potential—and genuine three-body forces come into play. Since it is difficult to perform shell-model calculations with three-body forces, these contributions are estimated for the ground-state energy only. To establish the reliability of our approximations, we focus attention on nuclei belonging to the p shell, aiming to benchmark our calculations against those performed with the ab initio no-core shell model. The obtained results are satisfactory, and pave the way to the application of our approach to nuclear systems with heavier masses.

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Research Organization:: Texas A & M Univ., Commerce, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Natural Science Foundation of China

Grant/Contract Number:: SC0009971; 11320101004; 11575007

OSTI ID:: 1611277

Alternate ID(s):: OSTI ID: 1477569

Journal Information:: Physical Review. C, Vol. 98, Issue 4; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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Title: Realistic shell-model calculations for $p$ -shell nuclei including contributions of a chiral three-body force