Effectively-truncated large-scale shell-model calculations and nuclei around 100Sn. (17th August 2017)

• Record Type: Journal Article
• Authors: Gargano, A; Coraggio, L; Itaco, N
• Is Part Of: Physica scripta. Volume 92:Number 9(2017:Sep.)
• Publication Date: 2017-08-17
• Subjects: nuclear shell model -- realistic nucleon-nucleon interaction -- effective interaction; 21.60.Cs -- 21.30.Fe -- 23.20.Lv -- 27.60.+j; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/aa7d6d
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: This paper presents a short overview of a procedure we have recently introduced, dubbed the double-step truncation method, which is aimed to reduce the computational complexity of large-scale shell-model calculations. Within this procedure, one starts with a realistic shell-model Hamiltonian defined in a large model space, and then, by analyzing the effective single particle energies of this Hamiltonian as a function of the number of valence protons and/or neutrons, reduced model spaces are identified containing only the single-particle orbitals relevant to the description of the spectroscopic properties of a certain class of nuclei. As a final step, new effective shell-model Hamiltonians defined within the reduced model spaces are derived by way of a unitary transformation of the original large-scale Hamiltonian. A detailed account of this transformation is given and the merit of the double-step truncation method is illustrated by discussing few selected results for 96 Mo, described as four protons and four neutrons outside 88 Sr. Some new preliminary results for light odd-tin isotopes from A = 101 to 107 are also reported.