Effective Interactions for pf Shell from the No Core Shell Model
ORAL
Abstract
Following the ideas of the Tucson nuclear theory group for the extension of the No-Core Shell Model (NCSM) approach to sd-shell nuclei [1], we show how a NCSM calculation for $^{42}$Ca in a 2$\hbar\Omega$ model space can yield two-body effective interactions for the pf-shell. We demonstrate how the effective Hamiltonian derived in the 2$\hbar\Omega$ NCSM at the 2-body cluster level should be modified to properly account for the many-body correlations produced by truncating to a single major shell. The pf-shell two-body effective interactions for $^{42}$Ca, obtained by direct projection, are used to reproduce the results of large scale NCSM for other Ca isotopes.\\ 1. B.R. Barrett et al, DNP 2007 abstract.
*E.D. supported partly by TUBITAK-BIDEB and TUBITAK 105T092. B.R.B. and A.F.L. supported partly by NSF grant PHY-0555396. Work by P.N. partly performed under DOE contract No. W-7405-Eng-48. J.P.V. supported partly by USDOE grant DE-FG-02-87ER40371.
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