Phys. Rev. C 80, 024315 (2009) [9 pages]Effective operators from exact many-body renormalizationReceived 15 June 2009; published 28 August 2009 We construct effective two-body Hamiltonians and E2 operators for the p shell by performing 16ℏΩ ab initio no-core shell model (NCSM) calculations for A=5 and A=6 nuclei and explicitly projecting the many-body Hamiltonians and E2 operator onto the 0ℏΩ space. We then separate the effective E2 operator into one-body and two-body contributions employing the two-body valence cluster approximation. We analyze the convergence of proton and neutron valence one-body contributions with increasing model space size and explore the role of valence two-body contributions. We show that the constructed effective E2 operator can be parametrized in terms of one-body effective charges giving a good estimate of the NCSM result for heavier p-shell nuclei. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevC.80.024315
DOI:
10.1103/PhysRevC.80.024315
PACS:
27.20.+n, 21.10.Hw, 21.60.Cs, 23.20.Lv
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