English

Ab-initio shell model with a core

Nuclear Theory 2009-01-14 v1

Abstract

We construct effective 2- and 3-body Hamiltonians for the p-shell by performing 12\hbar\Omega ab initio no-core shell model (NCSM) calculations for A=6 and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the 0\hbar\Omega space. We then separate these effective Hamiltonians into 0-, 1- and 2-body contributions (also 3-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 3- and higher-body interactions for A>6 is investigated and discussed.

Keywords

Cite

@article{arxiv.0808.2187,
  title  = {Ab-initio shell model with a core},
  author = {A. F. Lisetskiy and B. R. Barrett and M. K. G. Kruse and P. Navratil and I. Stetcu and J. P. Vary},
  journal= {arXiv preprint arXiv:0808.2187},
  year   = {2009}
}
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