Ab-initio shell model with a core

Details Ab-initio shell model with a core Ab-initio shell model with a core

2008-08-15

arxiv.org/abs/0808.2187v1

Phys.Rev.C78:044302,2008

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.78.044302

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.

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