Minimal Theory of Isomerism -Q.Q and Other Interactions

Abstract

We perform shell model calculations using a quadrupole-quadrupole interaction (Q.Q) in single a j shell space. We show that this one-parameter interaction is a good predictor of where nuclear isomerism occurs and where it does not occur. The limitations of this interaction are also discussed. We then include other interactions e.g. in the f_{7/2} shell those obtained from the (local) spectrum of a 2 particle system and then from a 2 hole system. In the g_{9/2}where there is insufficient empirical data from the 2 hole system and so various empirical interactions are used.

References in corpus (5)

• g9/2 nuclei and neutron-proton interaction
• Coherence features of the spin-aligned neutron-proton pair coupling scheme
• 6${}^{+}$ isomers in neutron-rich Sn-isotopes beyond N$=82$ and effective interaction
• Shell model results for ${}^{47-58}$Ca isotopes in the $fp$, $fp{g}_{9/2}$ and $fp{g}_{9/2}{d}_{5/2}$ model spaces
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Cited by in corpus (2)

• Systematic shell-model study of Rn isotopes with $A=$ 207 to 216 and isomeric states
• Systematic shell-model study of ${}^{98-130}$Cd isotopes and $8^{+}$ isomeric states