Nonleptonic Decays of 1^+/2-Baryons and Pseudo-Connected-Line Diagrams. I : In Case of 20"-Dominance

概要

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Under the SU(4)-20''-spurion dominance in nonleptonic weak decays, we investigate algebraic structures of the effctive Hamiltonian H_<eff> which describes the main features of the nonleptonic weak decays of ordinary baryons, When H_eff is written by using 20'-baryon (1/2^+) wave function of the form B_α^<[βγ]>, one can select out of H_<eff> two terms which describe most simply the main features of the P-wave amplitudes for ordinary baryons. Only these terms are s-u dual in the sense of `pseudo-connected-line diagrams' (pseudo-CLD's) obtained by writing CLD's with 4- and 4^*-lines corresponding directly to the lower and the upper indices of B_α^<[βγ]>. By assuming Lee-Sugawara relation and s-u dual property of the P-wave amplitudes, various relations among ordinary and charmed. baryon decays are derived. Comments on the parity-violating amplitudes are also given.
理論物理学刊行会の論文
1978-01-25