Shell Model Calculations of Effective Operators in Light Nuclei.
Abstract
Calculations of the effective interaction and other effective operators employed in shell-model investigations using a truncated model space are made using three different approaches. First, large-basis, no-core shell-model calculations, in which all nucleons are active, so there are no hole states, are performed, using two-body reaction matrix elements G, and are found to yield good results for the binding energy, excitation spectra and other properties of light nuclei (D.C. Zheng, J.P. Vary and B.R. Barrett, Phys. Rev. C50), 2841 (1994).. The results of these no-core calculations are treated as a theoretical experiment, against which different effective-interaction approximations are compared. Second, perturbation theory, using a few nucleons outside a closed core, is used to calculate the effective interaction to second order in G. The third approach utilizes a non-perturbative technique (P. Navrátil, H.B. Geyer and T.T.S. Kuo, Phys. Lett. B 315), 1 (1993). for calculating energy independent, hermitian, two-body effective operators exactly within a truncated model space P. In this way the effect of reducing the hilbert space to a smaller dimensional model space can be studied.
- Publication:
-
APS Division of Nuclear Physics Meeting Abstracts
- Pub Date:
- October 1996
- Bibcode:
- 1996APS..DNP..AD01T