Effective operators within the ab initio no-core shell model

Details Effective operators within the ab initio no-core shell model Effective operators within the ab initio no-core shell model

2004-12-02

arxiv.org/abs/nucl-th/0412004v2

Phys.Rev. C71 (2005) 044325

Physics

Nuclear Physics

Nuclear Theory

9 pages, figure added, clarified discussion, to be published in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.71.044325

We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain realistic wave functions for 4He, 6Li and 12C. In the NCSM formalism, we compute electromagnetic properties using the two-body cluster approximation for the effective operators and obtain results which are sensitive to the range of the bare operator. To illuminate the dependence on the range, we employ a Gaussian two-body operator of variable range, finding weak renormalization of long range operators (e.g., quadrupole) in a fixed model space. This is understood in terms of the two-body cluster approximation which accounts mainly for short-range correlations. Consequently, short range operators, such as the relative kinetic energy, will be well renormalized in the two-body cluster approximation.

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