Comparison of Fermion SU(3) and Boson SU(3) models for scissors mode excitations

Details Comparison of Fermion SU(3) and Boson SU(3) models for scissors mode excitations Comparison of Fermion SU(3) and Boson SU(3) models for scissors mode excitations

1997-02-07

arxiv.org/abs/nucl-th/9702017v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, no figures. Submitted to Phys. Rev. C

Scientific paper

For a $Q \cdot Q$ interaction the energy weighted sum rule for isovector orbital magnetic dipole transitions is proportional to the difference $\sum B(E2, isoscalar) - \sum B(E2, isovector)$, not just to $\sum B(E2, physical)$. This fact is important in ensuring that one gets the correct limit as one goes to nuclei, some of which are far from stability, for which one shell (neutron or proton) is closed. In $0p$ shell calculations for the even-even Be isotopes it is shown that the Fermion SU(3) model and Boson SU(3) model give different results for the energy weighted scissors mode strengths.

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