First-Forbidden beta decay: Medium enhancement of the axial charge at A=16

Details First-Forbidden beta decay: Medium enhancement of the axial charge at A=16 First-Forbidden beta decay: Medium enhancement of the axial charge at A=16

1993-09-10

arxiv.org/abs/nucl-th/9309014v1

Phys.Rev.C49:824-839,1994

Physics

Nuclear Physics

Nuclear Theory

17pages double columned, RevteX, Four figures not included, available from Towner at Chalk River Laboratories

Scientific paper

10.1103/PhysRevC.49.824

Calculations are presented for four relatively strong first-forbidden $\beta$ decays in the region A=11-16 in order to study the very large mesonic-exchange-current enhancement of the rank-zero components. The $\mu^-$ capture on $^{16}$O is considered on the same footing. The wave functions utilized include up to 4$\hbar\omega$ excitations. Two-body exchange-current matrix elements are calculated as well as one-body impulse approximation matrix elements. The resultant enhancement factor that multiplies the impulse-approximation axial-charge matrix element is thereby determined by comparison to experiment to be $\epsilon_{exp}$ = 1.61 $\pm$ 0.03 from three $\beta^-$ decays and $\mu^-$ capture on $^{16}$O, which is in excellent agreement with meson-exchange calculations in the soft-pion approximation.

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