Prog. Theor. Phys. Vol. 41 No. 2 (1969) pp. 491-499
Symmetry Breaking Effects in Nonleptonic Decays of Hyperons
Department of Physics, Tohoku University, Sendai
(Received May 16, 1968)
We have examined the symmetry breaking effects in nonleptonic decays of hyperons. It turned out that if the weak spurion is confined to a unitary octet, then representations other than octet of SB ⊗SW bring new parameters on the decay modes of Λ and Ξ particles. Among the three properties of nonleptonic hyperon decays, therefore, the formulation of Property III) is modified by the broken symmetry SB.
Next we have investigated the pole model along the same line of thought as Paper I [Prog. Theor. Phys. 39 (1968), 1289]. In particular, for the p-wave channel, we have assumed that the form of weak vertex is the divergence of vector current. Our pole model has such remarkable merits as it reproduces fine results of the usual pole model but is free from the singularity of 1/Δm appearing in the usual one.
DOI : 10.1143/PTP.41.491
- A. Toda and A. Murayama, Prog. Theor. Phys. 39 (1968), 1289[PTP].
- A. Toda, Prog. Theor. Phys. 37 (1967), 895[PTP].
A. Toda and F. Takagi, Prog. Theor. Phys. 37 (1967), 1040[PTP].
- S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
M. Ikeda, S. Ogawa and Y. Ohnuki, Prog. Theor. Phys. 22 (1959), 715[PTP].
M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
Y. Ne'eman, Nucl. Phys. 26 (1961), 222[CrossRef].
S. Okubo, Prog. Theor. Phys. 27 (1962), 949[PTP].
- See, for example, K. Fujii, M. Imoto, S. Kawasaki, S. Furui and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP].
- C. Itzykson and M. Jacob, Nuovo Cim. A 48 (1967), 655.
A. Kumar and J. C. Pati, Phys. Rev. Lett. 18 (1967), 1230[APS].
- See, Okubo's paper of reference 4).
G. Feldman, P. T. Matthews and A. Salam, Phys. Rev. 121 (1961), 302[APS].
B. W. Lee and A. R. Swift, Phys. Rev. 136 (1964), B228[APS].
- As for the model with the divergence of weak current, for example, see reference 5).
- M. Imoto and K. Ohya, Prog. Theor. Phys. 39 (1968), 1233[PTP].
- M. Gell-Mann and M. Lévy, Nuovo Cim. 16 (1960), 705.
B. W. Lee, Phys. Rev. 140 (1965), B152[APS].
See also, S. Coleman and S. L. Glashow, Phys. Rev. 134 (1964), B671[APS].
M. Ademollo and R. Gatto, Phys. Rev. Lett. 13 (1964), 264[APS].
- G. S. Guralnik and V. S. Mathur, preprint.
M. Imoto and K. Fujii, private communication.
N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].
R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
- See, for example, J. Iizuka and Y. Miyamoto, Prog. Theor. Phys. 31 (1964), 1127[PTP]. In their paper, the pole term cannot exist in the symmetric limit, but will be induced by symmetry breaking interactions. Hence, our model is compatible with their formulation.