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## Prog. Theor. Phys. Vol. 39 No. 5 (1968) pp. 1268-1277

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# Phenomenological Approach to Non-Leptonic Decays. II

## — Ω- Decays under Parameters Fit to Decays of Octet Baryons —

Department of Physics and Atomic Energy Research Institute, College of Science and Engineering, Nihon University, Tokyo
*Department of Physics, College of Arts and Sciences, Chiba University, Chiba

### Abstract:

Non-leptonic decays of Ω--hyperon are discussed in a way consistent with those of octet baryons and K10 meson (see Part I), under the pole approximation in which the parity-conserving and violating effective interactions are assumed to be λ6-like and iλ7-like, respectively. As for the modes of Ω- → Ξ0 + π- and Ξ- + π0, their decay rates are consistent with experiment, and owing to the P-wave dominance their asymmetry parameters are very small as follows:
α(Ω- →Ξ0 + π-) = -0.028 ∼-0.015.
About the Ω- →Ξ*0 + π- and Ξ*- + π0 decays, we get
Γ(Ω- →Ξ*0 + π-) = 2Γ(Ω- →Ξ*- + π0) = (1/12 ∼1/30)Γ(Ω- →Ξ0 + π-),
and α(Ω- →Ξ*0 + π-) = 0.0022 ∼-0.0014 due to the S-wave dominance. The modes of Ω- →Ξ+ 2π are also discussed under a simplified assumption. However, in the case of the Ω- →Λ0 + K- decay, which is P-wave dominant, there explicitly appears a problem which may be related to the difficulty (see Part I) of P-waves estimated under pole approximations alone.

DOI : 10.1143/PTP.39.1268

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### References:

1. Pole models premising SU3 symmetry:
M. Suzuki, Prog. Theor. Phys. 32 (1964), 138[PTP].
2. Based on a SU6 algebraic technique:
a) K. Kawarabayashi, Phys. Rev. Lett. 14 (1965), 86[APS].
b) S. G. Matinyan, Sov. Phys. -JETP 1 (1965), 57.
3. Based on a \tildeU (12) algebraic technique:
a) K. Kawarabayashi and R. White, Phys. Rev. Lett. 14 (1965), 527[APS].
b) M. P. Khanna, Phys. Rev. Lett. 14 (1965), 711[APS].
c) D. Horn, H. Kugler, H. J. Lipkin, S. Meshkov, J. C. Carter and J. J. Coyne, preprint.
4. Based on a current algebraic technique:
a) Y. Hara, Phys. Rev. 150 (1966), 1175[APS].
b) R. Rajaraman, Phys. Lett. 22 (1966), 102[CrossRef].
c) A. P. Balachandran, M. G. Gundzik and S. Pakvasa, Phys. Rev. 153 (1967), 1553[APS].
5. M. Imoto and K. Ohya, Prog. Theor. Phys. 39 (1968), 1233[PTP].
6. a) W. Rarita and J. Schwinger, Phys. Rev. 60 (1941), 61[APS].
b) S. Minami, T. Nakano, K. Nishijima, H. Okonogi and E. Yamada, Prog. Theor. Phys. 8 (1952), 531[PTP].
c) S. Hori and K. Kubo, preprint, DPKU-013-66.
d) T. Shimodaira, Nucl. Phys. 2 (1967), 360[Elsevier].
7. R. F. Dashen, Y. Dothan, S. C. Frautschi and D. H. Sharp, Phys. Rev. 143 (1966), 1185[APS].
8. It is calculated from τ(Ω--)=0.7×10-10 sec in V. E. Barnes et al., Phys. Rev. Lett. 12 (1964), 204[APS].
9. It is calculated from τ(Ω-K)=1.4×10-10 sec in V. E. Barnes et al., Phys. Rev. Lett. 12 (1964), 134[APS].
10. It is calculated from τ(Ω-K)=1.5×10-10 sec in C. R. Richardson, V. E. Barnes et al., Bull. Am. Phys. Soc. 10 (1964), 115.

### Citing Article(s) :

1. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1278-1288 :
On Nonleptonic Decays
Shin-ya Furui, Tetsuya Tsuchida, Kanji Fujii and Shoichiro Kawasaki
2. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 336-337 :