Prog. Theor. Phys. Vol. 45 No. 3 (1971) pp. 833-853
The Universal Interaction for Hyperon Non-Leptonic Decay and an Interpretation of the P-wave Problem
Departmet of Physics, Ibaraki University, Mito
and Scuola Normale Superiore, Pisa, Italy
*Department of Physics, College of Science and Engineering, Nihon University, Tokyo
(Received October 12, 1970)
The most suitable type of effective interaction for non-leptonic decay
of octet baryons is chosen by semi-phenomenological requirements. A
possible explanation for the p-wave problem is proposed, based on a
critical discussion of current-algebraic results and of the pole
approximation analogous to that in baryon-meson scatterings. First, we
show the following phenomenological results. i) The derivative
coupling of the ps-meson to the baryon, ∂µM-coupling,
agrees best in the simplest way with experimental amplitudes both for
the parity-violating and the parity-conserving parts. This means that
the soft meson limit technique in current-algebraic calculation should
cause missing terms, particularly serious in the p.c. part. ii) Only
∂µM-coupling gives an approximate universality; the
effective coupling constant and their ratio between the p.v. and
p.c. parts are very close to the β-decay coupling constant
without Cabibbo's sin θ and gA/gV ratio, respectively. iii)
BγµB in the p.v. selected effective interaction makes
an 8f representation in SU3, while Bγµγ5B
in the main term of the selected p.c. part consists of 1,
8d and 27 representations with a definite algebraic
proportion but involves neither 10 nor 10*. This
requirement is more severe than the necessary condition pointed out by
Rosen for the Sugawara-Lee relation. Then, based on the
phenomenological results and critical discussion of current-algebra
and of pole approximation, it is suggested that contributions to the
p.c. amplitues come mainly from direct-coupling terms, which have no
analogy in the pole approximation of low energy baryon-meson
scattering and also have been so far missing, due to their derivative
type, in current-algebraic calculation within the soft-meson limit.
DOI : 10.1143/PTP.45.833
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S. Coleman and S. L. Glashow, Phys. Rev. 134 (1964), B671[APS].
B. W. Lee, Phys. Rev. 140 (1965), B152[APS].
But here, too, to get iλγ-effective interaction did not succeed; since only gIc and gIIc appeared without gIII, B(Σ--)=0 and B(Σ++)≠0 cannot be lead, as easily understood from our Table II-2.
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S. Furui: Comments on Toda's proposal in the winter Tokyo meeting of “Molecular” Research Group on non-leptonic decays (Dec. 1966) and in the meeting on non-leptonic decays at the Research Institute for Fundamental Physics (June 1967, Kyoto).
B. W. Lee, Phys. Rev. 170 (1968), 1359[APS].
- As far as one is concerned with non-derivative couplings only, the possibility that both (2·2) and (2·3) are allowed was shown by
S. Coleman, S. L. Glashow and B. W. Lee, Ann. of Phys. 30 (1964), 348[CrossRef]. ]] Also the phenomenological analysis by reference 5) is limited to the cases of non-derivative coupling in A-family.
- The first work in which RP-invariance was applied for hyperon non-leptonic decays was K. Fujii and D. Itô, Prog. Theor. Phys. 30 (1963), 720, [PTP]whose results involved S-L relation implicitly.
But, to explain the other behaviors of the p.c. amplitudes, they introduced an unexplained assumption similar to selecting (4·3a) and (4·3d) among (4·3a, b, c and d).
S. P. Rosen, Phys. Rev. 135 (1965), B326[APS].
D. S. Carlstone, S. P. Rosen and S. Pakavasa, Phys. Rev. 174 (1968), 1877[APS].
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There is a mistake in the numerical definition in the later, which was pointed out in the paper by
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Other references are listed in those papers and reference 11) and on the report by B. W. Lee in the Topical Conference on Weak Interactions CERN 69-7 (1969).
a) K. Nishijima and L. Swank, Phys. Rev. 146 (1966), 1161[APS].
K. Nishijima, Phys. Rev. 157 (1967), 1459[APS].
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K. Watanabe, Phys. Rev. 159 (1967), 1369[APS].
b) K. Fujii and D. Terazawa, Prog. Theor. Phys. 37 (1967), 205[PTP]; ibid. 37 (1967), 207[PTP].
K. Fujii, M. Imoto, S. Kawasaki, S. Furui and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP].
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- See, for example, the reference cited in 1) and 11). For a version from the recent view point of duality,
S. Nussinov and J. L. Rosner, Phys. Rev. Lett. 23 (1969), 1264[APS].
- The contribution of decuplet resonance has an unfavorable features, too, and cannot contribute enough. In the parameter fitting without the condition (5·1), gMM becomes too big to explain the K →3π parity-conserving amplitudes under the similar pole approximation.
- The other hypothesis relating to this problem is proposed, for example, in
K. Nishijima, Prog. Theor. Phys. 14 (1969), 561[PTP].
Citing Article(s) :
Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1944-1954
Characteristic Features in Nonleptonic Hyperon Decays and Composite Models
Mituaki Katuya, Kanji Fujii, Seiji Ōkubo and Akihiro Murayama
Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 336-337
Comments on Ω-Nonleptonic Decay
Akira Toyoda, Sinya Furui and Tetsuya Tsuchida
Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1971-1972
Simple Phenomenology on K-2π Decays
Akira Toyoda, Sinya Furui and Tetsuya Tsuchida
Progress of Theoretical Physics 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
Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 199-207
Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. I
Yoshikazu Abe and Kanji Fujii
Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 208-213
Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. II
Yoshikazu Abe, Kanji Fujii and Keijiro Honda