Effective operators within the ab initio no-core shell model
Dec, 2004
8 pages
Published in:
- Phys.Rev.C 71 (2005) 044325
e-Print:
- nucl-th/0412004 [nucl-th]
Report number:
- UCRL-JRNL-208306
Citations per year
Abstract:
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.- 27.20.+n
- 21.60.Cs
- 23.20.Js
- 27.10.+h
References(26)
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