Comparison of the effective interaction to various orders in different mass regions
Abstract
The convergence of the perturbation expansion for the effective interaction to be used in shellmodel calculations is investigated as a function of the mass number A, from A = 4 to A = 208. As the mass number increases, there are more intermediate states to sum over in each higherorder diagram which contributes to the effective interaction. Together with the fact that the energy denominators in each diagram are smaller for larger mass numbers, these two effects could largely enhance higherorder contributions to the effective interaction, thereby deteriorating the orderbyorder convergence of the effective interaction. This effect is counterbalanced by the short range of the nucleon  nucleon interaction, which implies that its matrix elements are weaker for valence singleparticle states in `large' nuclei with large mass number as compared to those in light nuclei. These effects are examined by comparing various mean values of the matrix elements. It turns out that the contributions from higherorder terms remain fairly stable as the mass number increases from A = 4 to A = 208. The implications for nuclear structure calculations are discussed.
 Publication:

Journal of Physics G Nuclear Physics
 Pub Date:
 March 1996
 DOI:
 10.1088/09543899/22/3/006
 arXiv:
 arXiv:nuclth/9509006
 Bibcode:
 1996JPhG...22..321H
 Keywords:

 Nuclear Theory
 EPrint:
 Revtex, 20 pages, 1 figure not included