Quick Search:
Prog. Theor. Phys. Vol. 55 No. 5 (1976) pp. 1582-1590
Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons
Akira Toyoda,
Sin-ya Furui,
Tetsuya Tsuchida and
Mitsuo Imoto
Department of Physics, Ibaraki University, Mito 310
(Received March 2, 1976)
Abstract:
On the basis of the lightlike chiral structure of hadrons, we investigate the S- and P-wave nonleptonic decays of hyperons. Assuming that (i) the 1/2+ octet baryons transform as (6, 3) under the chiral SUl(3) ⊗ SUl(3) and (ii) the weak Hamiltonian transforms as octet under either the left-handed or the right-handed SUl(3), we show that the equal x+-commutator terms satisfy the ΔI = 1/2 rules and the L-S relation for the S-wave decays, and the ΔI = 1/2 rule for the P-wave Σ-decays.
URL :
http://ptp.ipap.jp/link?PTP/55/1582/
DOI : 10.1143/PTP.55.1582
References:
- See, for instance, A. Toda and A. Murayama, Prog. Theor. Phys. 39 (1968), 1289[PTP].
- See, for instance,
K. Fujii, M. Imoto, S. Furui, S. Kawasaki and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP]
M. Imoto and K. Nakamura, Prog. Theor. Phys. 45 (1971), 833[PTP].
- S. Furui, Soryusiron Kenkyu (mimeographed circular in Japanese) 40 (1970), F3
K. Fujii, Soryusiron Kenkyu (mimeographed circular in Japanese) 43 (1971), B4.
-
Y. Hara, Phys. Rev. 139 (1965), B134[APS].
A. Kumar and J. C. Pati, Phys. Rev. Lett. 18 (1967), 1230[APS].
M. D. Scadron, Phys. Rev. D 8 (1973), 2190[APS].
-
M. Nakagawa and N. N. Trofimenkoff, Nucl. Phys. B 5 (1968), 93[CrossRef].
A. Toda, Prog. Theor. Phys. 44 (1970), 1420[PTP].
K. Katsuya, K. Fujii, S. Okubo and A. Murayama, Prog. Theor. Phys. 44 (1971), 1944[PTP].
C. V. Sastry, Phys. Rev. D 6 (1972), 3270[APS].
-
Y. Iwasaki, Phys. Rev. Lett. 34 (1975), 1407[APS].
-
F. J. Hasert et al., Phys. Lett. B 46 (1973), 138[CrossRef].
- M. Ida, Prog. Theor. Phys. 51 (1974), 1521[PTP].
- M. Ida, T. Tajima and K. Yamawaki, Prog. Theor. Phys. 52 (1974), 1583[PTP].
-
J. P. Hsu, Ann. of Phys. 75 (1973), 479[CrossRef].
- All the theories and models that can reproduce the S-wave experimental data, such as the ΔI = 1/2 rule, the L-S relation and the vanishing of the Σ+ + amplitude, should have only the octet state in the t-channel. This situation was first pointed out at the meeting on the weak interactions held at Reseach Institute for Fundamental Physics, Kyoto, in 1971.
- M. Ida, Prog. Theor. Phys. 54 (1975), 1199[PTP].
-
B. W. Lee, Phys. Rev. Lett. 12 (1964), 83[APS].
H. Sugawara, Prog. Theor. Phys. 31 (1964), 213[PTP].
- S. Furui and A. Toyoda, Soryusiron Kenkyu (mimeographed circular in Japanese) 51 (1975), C7.
- R. E. Marshak, Riazuddin and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley, New York, 1969).
- S. Furui and N. N. Trofimenkoff, Prog. Theor. Phys. 42 (1969), 1485[PTP].
A. Murayama, K. Fujii and M. Hirano, Prog. Theor. Phys. 43 (1970), 789[PTP].
-
J. J. de Swart, Rev. Mod. Phys. 35 (1964), 916[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1321-1322
:
-
Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. I
-
Shin-ya Furui, Akira Toyoda and Tetsuya Tsuchida
-
Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1600-1612
:
-
Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. II
-
Shin-ya Furui, Akira Toyoda and Tetsuya Tsuchida