The Isovector Quadrupole-Quadrupole Interaction Used in Shell Model Calculations

Details The Isovector Quadrupole-Quadrupole Interaction Used in Shell Model Calculations The Isovector Quadrupole-Quadrupole Interaction Used in Shell Model Calculations

1995-06-23

arxiv.org/abs/nucl-th/9506019v1

Physics

Nuclear Physics

Nuclear Theory

12 pages, revtex, 2 figures (available on request)

Scientific paper

10.1016/0370-2693(95)00899-V

An interaction $-\chi Q\cdot Q(1+B\vec{\tau}(1)\cdot \vec{\tau}(2))$ is used in a shell model calculation for $^{10}Be$. Whereas for $B=0$ the $2_1^+$ state is two-fold degenerate, introducing a negative $B$ causes an `isovector' $2^+$ state to come down to zero energy at $B=-0.67$ and an $S=1~L=1$ triplet ($J=0^+,~1^+,~2^+$) to come down to zero energy at $B=-0.73$. These are undesirable properties, but a large negative $B$ is apparently needed to fit the energy of the isovector giant quadrupole resonance.

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