Shell model test of quadrupole properties predicted by the rotational formula--the degenerate SDI interaction and non-degenerate FPD6

摘要

In the rotational model for a K=0 band in an even-even nucleus, there is asingle parameter--Q_0, the intrinsic quadrupole moment. All B(E2)'s in the bandand all static quadrupole moments are expressed in terms of this one parameter.In shell-model calculations, this does not have to be the case. In this work,we consider ground-state bands in {44}Ti, {46}Ti, {48}Ti, {48}Cr, and {50}Cr.We have two models. First, we use a Surface Delta Interaction with degeneratesingle-particle energies (SDI-deg). We compare this with results of ashell-model calculation using the standard interaction FPD6 and include thesingle-particle energy splitting. Neither model yields a perfect rotationalI(I+1) spectrum, although the SDI-deg model comes somewhat closer. Overall, thesimple rotational formula for B(E2)'s and static quadrupole moments hangstogether very nicely.