Symmetry breaking and higher representations in the Cabibbo theory

A. García; P. Kielanowski

doi:10.1103/PhysRevD.26.3100

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Symmetry breaking and higher representations in the Cabibbo theory

A. García^*

P. Kielanowski^†

Departmento de Física, Centro de Investigación y Estudios Avanzados, México 14, D.F., México

Departmento de Física, Centro de Investigación y Estudios Avanzados, México 14, D.F., México and Center for Particle Theory, University of Texas, Austin, Texas 78712

^*Also at Escuela Superior de Física (IPN).
^†On leave from the University of Warsaw, Warsaw, Poland.

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Phys. Rev. D 26, 3100 – Published 1 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3100

Abstract

The most recent data for semileptonic hyperon decays are compared with the Cabibbo theory. Two significant deviations from the Cabibbo-theory predictions have been observed. The deviation for $Γ$ in $Σ^{-} \to Λ e ν$ can be the signal of the symmetry breaking. The discrepancy for $α_{e}$ in $Σ^{-} \to ne ν$ cannot be explained by the first-order symmetry breaking or by admixture of higher representations in the axial-vector current.

References (20)

N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963)
A. García and P. Kielanowski, Phys. Rev. D 25, 1451 (1982) ibid.26, 1090 (1982)
J. F. Donoghue and B. R. Holstein, Phys. Rev. D 25, 2015 (1982)
A. García and P. Kielanowksi, Phys. Lett. 110B, 498 (1982)
M. Bourquin et al., Orsay Report No. LAL 81/18 (unpublished) , Z. Phys. C 12, 307 (1982)
P. Keller et al., Phys. Rev. Lett. 48, 971 (1982)
Particle Data Group, Rev. Mod. Phys. 52, S1 (1980)
A. García, Phys. Rev. D 12, 2692 (1975)
[2]
V. Linke, Nucl. Phys. B12, 669 (1969)
Omitted endnote
J. F. Donoghue and B. R. Holstein, Phys. Rev. D 25, 206 (1982)
M. Ademollo and R. Gatto [Phys. Rev. Lett. 13, 264 (1964)]
S. Weinberg, Phys. Rev. 112, 1375 (1958)
R. E. Behrends and A. Sirlin, Phys. Rev. Lett. 4, 186 (1960)
R. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley Interscience, New York, 1969)
J. G. Kuriyan, D. Lurié, and A. J. Macfarlane, J. Math. Phys. 6, 722 (1965)
Omitted endnote
A. Bohm, A. García, and P. Kielanowski, Phys. Lett. 113B, 272 (1982)
A. Bohm et al., Phys. Rev. D 15, 689 (1977) A. Bohm, in Neutrino—75, proceedings of the Fifth International Conference on Neutrino Science, Balaton, Hungary, 1975, edited by A. Frenkel and G. Marx (OMKDK-TECHNOINFORM, Budapest, Hungary, 1976), Vol. II, p. 319

[c1] N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963)

[c2] A. García and P. Kielanowski, Phys. Rev. D 25, 1451 (1982) ibid.26, 1090 (1982)

[c3] J. F. Donoghue and B. R. Holstein, Phys. Rev. D 25, 2015 (1982)

[c4] A. García and P. Kielanowksi, Phys. Lett. 110B, 498 (1982)

[c5] M. Bourquin et al., Orsay Report No. LAL 81/18 (unpublished) , Z. Phys. C 12, 307 (1982)

[c6] P. Keller et al., Phys. Rev. Lett. 48, 971 (1982)

[c7] Particle Data Group, Rev. Mod. Phys. 52, S1 (1980)

[c8] A. García, Phys. Rev. D 12, 2692 (1975)

[c9] [2]

[c10] V. Linke, Nucl. Phys. B12, 669 (1969)

[c11] Omitted endnote

[c12] J. F. Donoghue and B. R. Holstein, Phys. Rev. D 25, 206 (1982)

[c13] M. Ademollo and R. Gatto [Phys. Rev. Lett. 13, 264 (1964)]

[c14] S. Weinberg, Phys. Rev. 112, 1375 (1958)

[c15] R. E. Behrends and A. Sirlin, Phys. Rev. Lett. 4, 186 (1960)

[c16] R. Marshak, Riazuddin, and C. P. Ryan, Theory of Weak Interactions in Particle Physics (Wiley Interscience, New York, 1969)

[c17] J. G. Kuriyan, D. Lurié, and A. J. Macfarlane, J. Math. Phys. 6, 722 (1965)

[c18] Omitted endnote

[c19] A. Bohm, A. García, and P. Kielanowski, Phys. Lett. 113B, 272 (1982)

[c20] A. Bohm et al., Phys. Rev. D 15, 689 (1977) A. Bohm, in Neutrino—75, proceedings of the Fifth International Conference on Neutrino Science, Balaton, Hungary, 1975, edited by A. Frenkel and G. Marx (OMKDK-TECHNOINFORM, Budapest, Hungary, 1976), Vol. II, p. 319

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Symmetry breaking and higher representations in the Cabibbo theory

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