Violation of the $Δ$I=1/2 rule in the nonmesonic weak decay of $Λ$ hypernuclei

Details Violation of the $Δ$I=1/2 rule in the nonmesonic weak decay of $Λ$ hypernuclei Violation of the $Δ$I=1/2 rule in the nonmesonic weak decay of $Λ$ hypernuclei

1997-12-12

arxiv.org/abs/nucl-th/9712045v2

Nucl.Phys. A639 (1998) 333-336

Physics

Nuclear Physics

Nuclear Theory

17 pages. Paper related to a contribution presented at the International Conference on Hypernuclear and Strange Particle Physi

Scientific paper

10.1016/S0375-9474(98)00292-9

Violations of the $\Delta$I=1/2 rule are investigated in the nonmesonic weak hypernuclear decay using a weak $\Lambda$N$\to$NN transition potential based on meson exchange. While the weak $\Delta$I=3/2 matrix elements of baryons with pseudoscalar mesons are known to be very small, the same matrix elements of baryons with vector mesons, evaluated in the factorization approximation, are found to be significant. Within the uncertainties of the factorization approximation we find that the total rate increases by at most 6% lying within the error bars of the more recent experimental result. The neutron- to proton-induced rate, on the other hand, can change by up to a factor of two, while the asymmetry parameter is strongly affected as well.

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