Phys. Rev. C 78, 044302 (2008) [9 pages]Ab-initio shell model with a coreReceived 20 June 2008; published 10 October 2008 We construct effective two- and three-body Hamiltonians for the p-shell by performing 12ℏΩ ab initio no-core shell model (NCSM) calculations for A=6 and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the 0ℏΩ 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevC.78.044302
DOI:
10.1103/PhysRevC.78.044302
PACS:
21.10.Hw, 21.60.Cs, 23.20.Lv, 27.20.+n
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