Double-step truncation procedure for large-scale shell-model calculations

L. Coraggio, A. Gargano, and N. Itaco
Phys. Rev. C 93, 064328 – Published 30 June 2016
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Abstract

We present a procedure that is helpful to reduce the computational complexity of large-scale shell-model calculations, by preserving as much as possible the role of the rejected degrees of freedom in an effective approach. Our truncation is driven first by the analysis of the effective single-particle energies of the original large-scale shell-model Hamiltonian, in order to locate the relevant degrees of freedom to describe a class of isotopes or isotones, namely the single-particle orbitals that will constitute a new truncated model space. The second step is to perform a unitary transformation of the original Hamiltonian from its model space into the truncated one. This transformation generates a new shell-model Hamiltonian, defined in a smaller model space, that retains effectively the role of the excluded single-particle orbitals. As an application of this procedure, we have chosen a realistic shell-model Hamiltonian defined in a large model space, set up by seven proton and five neutron single-particle orbitals outside Sr88. We study the dependence of shell-model results upon different truncations of the original model space for the Zr, Mo, Ru, Pd, Cd, and Sn isotopic chains, showing the reliability of this truncation procedure.

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  • Received 11 May 2016

DOI:https://doi.org/10.1103/PhysRevC.93.064328

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

L. Coraggio1, A. Gargano1, and N. Itaco1,2

  • 1Istituto Nazionale di Fisica Nucleare, Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
  • 2Dipartimento di Matematica e Fisica, Seconda Università di Napoli, Viale Abramo Lincoln 5, I-81100 Caserta, Italy

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Issue

Vol. 93, Iss. 6 — June 2016

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