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Physical Review C

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Ab-initio shell model with a core

A. F. Lisetskiy^1,*, B. R. Barrett¹, M. K. G. Kruse¹, P. Navratil², I. Stetcu³, and J. P. Vary⁴

¹Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
²Lawrence Livermore National Laboratory, Livermore, California 94551, USA
³Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
⁴Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

^*lisetsky@physics.arizona.edu

Phys. Rev. C 78, 044302 – Published 10 October, 2008

DOI: https://doi.org/10.1103/PhysRevC.78.044302

Abstract

We construct effective two- and three-body Hamiltonians for the $p$ -shell by performing $12 ℏ Ω$ ab initio no-core shell model (NCSM) calculations for $A = 6$ and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the $0 ℏ Ω$ space. We then separate these effective Hamiltonians into inert core, one- and two-body contributions (also three-body for $A = 7$ ) and analyze the systematic behavior of these different parts as a function of the mass number $A$ and size of the NCSM basis space. The role of effective three- and higher-body interactions for $A > 6$ is investigated and discussed.

Article Text

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