Nonleptonic decays of hyperons on the basis of algebra of currents, asymptotic SU(3), regge poles, and dispersion relations

Nonleptonic decay of hyperon has been investigated from a new view-point where, the algebra of currents, asymptotic SU(3) symmetry, Regge poles and dispersion relations are heavily utilized. We avoided the use of the ordinary soft-pion technique as well as the exact validity of the SU(3) symmetry so that we can take into account the mass differences among baryon octet. In this way, it has been found that the dispersion correction ordinarily discarded may really give an equally important or even dominant contribution compared to the result based upon a simple use of the algebra of currents. The final answer is very much similar to the K^∗-dominance model of Sakurai for the S-wave decay and it satisfies the Lee-Sugawara triangle as well as S( Σ₊⁺) = 0, although we are computing two different contributions, one which is the ordinary term and the other which comes from the dispersion correction. For the P-wave, the situation appears to be far more complicated than ordinarily believed.