Phenomenological Approach to Non-Leptonic Decays. II : Ω^- Decays under Parameters Fit to Decays of Octes Baryons

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Non-leptonic decays of Q^--hyperon are discussed in a way consistent with those of octet baryons and K_<1^0> meson (see Part I), under the pole approximation in which the parity-conserving and violating effective interactions are assumed to be λ_6-like and iλ_7-like, respectively. As for the modes of Q^-→Ξ^0+π^- and Ξ^-+π^0, their decay rates are consistent with experiment, and owing to the P-wave dominance thier asymmetry parameters are very small as follows: α(Q^-→Ξ^0+π^-)=-0.028~-0.015 About the Q^-→Ξ^<*0>+π^- and Ξ^<*->+π^0 decays, we get Γ(Q^-→Ξ^<*0>+π^-)=2Γ(Q^-→Ξ^<*->+π^0)=(1/(12)~1/(30))Γ(Q^-→Ξ^0+π^-) and α(Q^-→Ξ^<*0>+π^-) =-0.0022~-0.0014 due to the S-wave dominance. The modes of Q^-→Ξ+2π are also discussed under a simplified assumption. However, in the case of the Q^-→Λ^0+K^- decay, which is P-wave dominant, there explicitly appears a problem which may be related to the difficulty (see Part I) of P-waves estimated under pole approximations alone.
理論物理学刊行会の論文
1968-05-25