Nonrelativistic quark model and octet dominance in Cabibbo's weak Hamiltonian

Abstract

Since (6) means t h a t 1 = l ' = 0, we obta in an in teres t ing result t ha t P-wave decays o] hyperons are ]orbidden in the nonrelativistie quark model. On the other hand, th is difficulty does not occur in the nonre la t iv i s t ic symmet r i c quark models such as the three t r ip le t quark, the colour quark, pa ra -qua rk models, e tc . ; in these models, we find t h a t bo th 1 and l ' are even by using the s ta t is t ics , the spin p r o p e r t y and wave func t ions of B i and Br. Fu r the rmore , DOSS and (7) can be obta ined similar ly, as brief ly s ta ted in the prev ious footnote. Whi le these results have a l ready been der ived by a somewhat different me thod (*), (9), ( l l ) , (12) and the vanish ing of P w a v e decays of the gU (in the nonre la t iv i s t ic approx imat ion) are the new ones. F ina l ly , we c o m m e n t on t-u dual terms. Summing up SUa octe t mesons in the t -channel , we find tha t