Vanishing Gamow-Teller Transition Rate for A=14 and the Nucleon-Nucleon Interaction in the Medium

Abstract

The problem of the near vanishing of the Gamow-Teller transition ($GT$) in the A=14 system between the lowest $J=0^{+}T=1$ and $J=1^{+}T=0$ states is revisited. The model space is extended from the valence space $(p^{-2})$ to the valence space plus all 2$\hslash \omega$ excitations. The question is addressed as to what features of the effective nucleon-nucleon interaction in the medium are required to obtain the vanishing $GT$ strength in this extended space. It turns out that a combination of a realistic strength of the tensor force combined with a spin-orbit interaction which is enhanced as compared to the free interaction yields a vanishing $GT$ strength. Such an interaction can be derived from a microscopic meson exchange potential if the enhancement of the small component of the Dirac spinors for the nucleons is taken into account.

RevTex file, 7 pages, four postscript figures. submitted to Phys. Rev. C as a brief report

References in corpus (3)

• Construction of high-quality Nucleon-Nucleon potential models
• Large-space shell-model calculations for light nuclei
• Self weakening of the tensor interaction in a nucleus

Cited by in corpus (6)

• Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
• Allowed Gamow-Teller Excitations from the Ground State of 14N
• Gamov-Teller transitions from 14N ground to 14C ground and excited states
• Gamow-Teller transitions and proton-neutron pair correlation in $N=Z=$ odd $p$-shell nuclei
• Tensor force role in $\beta$ decays analyzed within the Gogny-interaction shell model