Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach

Journal Article · Sat Sep 15 04:00:00 EDT 2012 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2012.04.013· OSTI ID:22157041

Covello, A. ^[1]; Gargano, A. ^[1]; Itaco, N. ^[1]; Kuo, T. T.S. ^[2]

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1. Istituto Nazionale di Fisica Nucleare, Complesso Universitario di Monte S. Angelo, Via Cintia - I-80126 Napoli (Italy)
2. Department of Physics, SUNY, Stony Brook, NY 11794 (United States)

This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the starting point is the perturbative expansion of the Q{sup -hat-}box vertex function. Questions arising from diagrammatics, intermediate-states and order-by-order convergences, and their dependence on the chosen nucleon-nucleon potential, are discussed in detail, and the results of numerical applications for the p-shell model space starting from chiral next-to-next-to-next-to-leading order potentials are shown. Moreover, an alternative graphical method to derive the effective hamiltonian, based on the Z{sup -hat-}box vertex function recently introduced by Suzuki et al., is applied to the case of a non-degenerate (0+2)h{omega} model space. Finally, our shell-model results are compared with the exact ones obtained from no-core shell-model calculations. - Highlights: Black-Right-Pointing-Pointer The derivation of nuclear realistic shell-model effective hamiltonians is studied. Black-Right-Pointing-Pointer Perturbation theory. Black-Right-Pointing-Pointer Diagrammatics, intermediate-states and order-by-order convergences are investigated. Black-Right-Pointing-Pointer Shell-model calculations in degenerate and non-degenerate model spaces are presented. Black-Right-Pointing-Pointer Shell-model results are compared with the exact ones.

• OSTI ID: 22157041
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 9 Vol. 327; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHIRALITY
COMPARATIVE EVALUATIONS
HAMILTONIANS
INTERMEDIATE STATE
NUCLEAR STRUCTURE
NUCLEON-NUCLEON POTENTIAL
PERTURBATION THEORY
SHELL MODELS
VERTEX FUNCTIONS