ar X iv : n uc l - th / 9 71 10 49 v 2 5 J an 1 99 9 π + Emission from Hypernuclei and the Weak ∆ I = 3 / 2 Transitions

نویسنده

  • Makoto Oka
چکیده

Low energy π emission in hypernuclear weak decays is studied in the soft pion limit. It is found that the π decay amplitude is dominated by the ∆I = 3/2 part of nonmesonic weak decays according to the soft pion theorem. The ratios, R(π/soft π−), for light hypernuclei are estimated in the direct quark mechanism, which predicts violation of the ∆I = 1/2 rule, and found to be about 1/3 for 4ΛHe. ∗email: [email protected]

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ar X iv : n uc l - th / 9 71 10 49 v 1 2 5 N ov 1 99 7 π + Emission from Hypernuclei and the Weak ∆

Low energy π emission in hypernuclear weak decays is related to ∆I = 3/2 part of nonmesonic weak decays according to the soft pion theorem. We show that neither meson exchange pictures nor virtual Σ excitation can solve the π emission puzzle. On the other hand, the direct quark mechanism gives the ratio R(π/π : S-wave, soft pion) ≈ 1/4 for 4ΛHe and 5ΛHe. ∗email: [email protected]

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ar X iv : n uc l - th / 9 71 10 54 v 1 2 6 N ov 1 99 7 The π + – emission puzzle in 4 Λ He decay

We re-examine the puzzling π emission from the weak decay of 4ΛHe and propose an explanation in terms of a three–body decay of the virtual Σ. Such a resolution of the π decay puzzle is consistent with the calculated Σ probability in light Λ hypernuclei as well as the experimentally observed π energy spectrum and s–wave angular distribution. Typeset using REVTEX

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تاریخ انتشار 1999