Quick Search:
Prog. Theor. Phys. Vol. 44 No. 2 (1970) pp. 473-485
Nonleptonic Hyperon Decays and Breaking of Chiral SU(3) ⊗SU(3)
Katsuhiko Ohya
Department of Physics and Atomic Energy Research Institute, Nihon University, Chiyoda-ku, Tokyo
(Received November 14, 1969)
Abstract:
Nonleptonic decays of hyperons are discussed in connection with the breaking of chiral SU(3) ⊗SU(3). We assume an effective ∂µJµ7(x) interaction of nonleptonic decays, which is reduced to HW(x) = -iG[Q7(x0)+Q57(x0), m0(S0(x)+λS8(x))]. The amplitudes of the decays calculated in hard-pion limit give a good agreement with experiment both for S-waves and P-waves. In addition, it is shown that the f/d ratio of scalar spurion is -3.06, which is very close to that of mass-splitting -3.05, and λ= 2.01. Therefore one may identify m0(S0(x)+λS8(x)) as a mass operator, and then the strength of weak ∂µJµ7(x) interaction is estimated to be G = 0.232 ×10-5.
URL :
http://ptp.ipap.jp/link?PTP/44/473/
DOI : 10.1143/PTP.44.473
References:
- See, for example, the references which are cited in K. Fujii, M. Imoto, S. Kawasaki, S. Furui and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP].
-
B. W. Lee and A. R. Swift, Phys. Rev. 136 (1964), B228[APS].
M. Imoto and K. Ohya, Prog. Theor. Phys. 39 (1968), 1233[PTP].
-
J. J. Sakurai, Phys. Rev. 156 (1967), 1508[APS].
-
M. Suzuki, Phys. Rev. Lett. 15 (1965), 986 [APS].
H. Sugawara, Phys. Lett. 15 (1965), 870[Elsevier];
ibid. 15 (1965), 997[Elsevier].
Y. Hara, Y. Nambu and J. Schechter, Phys. Rev. Lett. 16 (1966), 380[APS].
L. S. Brown and C. M. Sommerfield, Phys. Rev. Lett. 16 (1966), 751[APS].
S. Badier and C. Bouchiat, Phys. Lett. 20 (1966), 529[CrossRef].
Fayyazuddin and Riazuddin, Nuovo Cim. A 47 (1967), 222.
Y. T. Chiu and J. Schechter, Phys. Rev. Lett. 16 (1966), 1022[APS].
Y. T. Chiu, J. Schechter and Y. Ueda, Phys. Rev. 150 (1966), 1201[APS].
S. N. Biswas, Aditya Kumar and R. P. Saxena, Phys. Rev. Lett. 17 (1966), 268[APS].
Arvind Kumar and J. C. Pati, Phys. Rev. Lett. 18 (1967), 1230[APS].
C. Itzykson and M. Jacob, Nuovo Cim. A 48 (1967), 655.
M. Hirano, K. Fujii and O. Terazawa, Prog. Theor. Phys. 40 (1968), 114[PTP].
A. P. Balachandran, M. G. Gundzik and S. Pakvasa, Phys. Rev. 153 (1967), 1553[APS].
-
S. L. Glashow and S. Weinberg, Phys. Rev. Lett. 20 (1968), 224[APS].
M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175 (1968), 2195[APS].
R. Gatto, G. Sartori and M. Tonin, Phys. Lett. B 28 (1968), 128[CrossRef].
N. Cabibbo and L. Maiani, Phys. Lett. B 28 (1968), 131[CrossRef].
-
Riazuddin, Fayyazuddin and A. H. Zimmerman, Phys. Rev. 137 (1965), B1556[APS].
Riazuddin and K. T. Mahanthappa, Phys. Rev. 147 (1966), 972[APS].
K. Nishijima and L. J. Swank, Phys. Rev. 146 (1966), 1161[APS].
K. Nishijima, Phys. Rev. 157 (1967), 1459[APS].
G. S. Guralnik. V. S. Mathur and L. K. Pandit, Phys. Rev. 168 (1968), 1866[APS].
T. Matsuda, Prog. Theor. Phys. 41 (1969), 1273[PTP].
-
Y. Nambu and D. Lurié, Phys. Rev. 125 (1962), 1429[APS].
Y. Nambu and E. Shrauner, Phys. Rev. 128 (1962), 862[APS].
- L. S. Brown and C. M. Sommerfield, (reference 4)).
-
S. Okubo, Ann. of Phys. 47 (1968), 351[CrossRef].
E. C. P. Chan, Phys. Rev. 171 (1968), 1543[APS].
M. Nakagawa and N. N. Trofimenkoff, preprint.
- Refs. 2), 4).
F. C. P. Chan, Ref. 9).
S. Fenster and N. Panchapakesan, Phys. Rev. 158 (1967), 1382[APS].
- M. Imoto and K. Ohya, Ref. 2).
-
S. Coleman and S. L. Glashow, Phys. Rev. 134 (1964), B671[APS].
B. W. Lee, Phys. Rev. 140 (1965), B152[APS].
- R. Nataf, Nuovo Cim. A 52 (1967), 7.
- M. Gell-Mann and M. Lévy, Nuovo Cim. 16 (1960), 705.
Y. Nambu, Phys. Rev. Lett. 4 (1960), 380[APS].
-
Particle Data Group, Rev. Mod. Phys. 42 (1970), 87[APS].
- J. Løvseth, Nuovo CIm. A 57 (1968), 382.
-
M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS]; Physics 1 (1964), 63.
-
B. W. Lee, Phys. Rev. Lett. 12 (1964), 83[APS].
H. Sugawara, Prog. Theor. Phys. 31 (1964), 213[PTP].
- They were calculated from J. P. Berge, Proceedings of the Thirteenth International Conference on High Energy Physics, at Berkeley, California, 1966 (University of California Press, Berkeley, 1967).
-
N. Brene, M. Roos and A. Sirlin, Nucl. Phys. B 6 (1968), 255[CrossRef].
-
J. K. Kim, Phys. Rev. Lett. 19 (1967), 1079[APS].
-
F. Gürsey, A. Pais and L. A. Radicati, Phys. Rev. Lett. 13 (1964), 299[APS].
- M. Nakagawa and N. N. Trofimenkoff, Nuovo Cim. A 50 (1967), 657.
M. Fujii and O. Terazawa, Prog. Theor. Phys. 37 (1967), 205[PTP]; ibid. 37 (1967), 207[PTP].
A. Toda and F. Takagi, Prog. Theor. Phys. 37 (1967), 1040[PTP].
S. Furui and N. N. Trofimenkoff, Prog. Theor. Phys. 42 (1969), 1485[PTP].
-
L. A. Copley and D. Massen, Phys. Rev. 156 (1967), 1564[APS].