$π^+$ Emission from Hypernuclei and the Weak $ΔI=3/2$ Transitions

Details $π^+$ Emission from Hypernuclei and the Weak $ΔI=3/2$ Transitions $π^+$ Emission from Hypernuclei and the Weak $ΔI=3/2$ Transitions

1997-11-25

arxiv.org/abs/nucl-th/9711049v2

Nucl.Phys. A647 (1999) 97-104

Physics

Nuclear Physics

Nuclear Theory

13 Pages, 2 Figures

Scientific paper

10.1016/S0375-9474(99)00007-X

Low energy $\pi^+$ emission in hypernuclear weak decays is studied in the soft pion limit. It is found that the $\pi^+$ decay amplitude is dominated by the $\Delta I=3/2$ part of nonmesonic weak decays according to the soft pion theorem. The ratios, $R(\pi^+/soft \pi^-) $, for light hypernuclei are estimated in the direct quark mechanism, which predicts violation of the $\Delta I=1/2$ rule, and found to be about 1/3 for $^4_{\Lambda}He$.

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