Scalar-Meson Pole Model for Weak Parity-Violating Baryon-Baryon-Meson Vertices

Bruce H. J. McKellar; Peter Pick

doi:10.1103/PhysRevD.8.265

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Scalar-Meson Pole Model for Weak Parity-Violating Baryon-Baryon-Meson Vertices

Bruce H. J. McKellar^*,†,‡

Peter Pick^†

Department of Theoretical Physics, University of Sydney, Sydney, New South Wales 2006, Australia
Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48823

Department of Theoretical Physics, University of Sydney, Sydney, New South Wales 2006, Australia

^*Present address: School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia.
^†Work supported in part by the Science Foundation for Physics of the University of Sydney.
^‡Work supported in part by the National Science Foundation on a SDG Grant to Michigan State University.

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Phys. Rev. D 8, 265 – Published 1 July, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.265

Abstract

We apply a scalar-meson pole model to the parity-violating hyperon decays and to the parity-violating $NN π$ vertex. In this model we obtain the usual octet-dominance results for the hyperon decay amplitudes: the $I = \frac{1}{2}$ rule, the Lee-Sugawara triangle, and a vanishing amplitude for $s$ -wave $Σ^{+} \to n + π^{+}$ decay. The model is distinguished from the vector-meson pole models by the fact that it gives the current-algebra sum rule for the parity-violating $NN π$ amplitude whereas the vector pole model predicts that this amplitude vanishes in the limit of isospin symmetry. Using the SU(3)×SU(3) $σ$ model for the currents we compute the amplitudes without arbitrary constants and find that they are about half the observed amplitudes.

References (11)

A. Salam, Phys. Letters 8, 216 (1964) J. Schwinger, Phys. Rev. Letters 12, 630 (1964) W. Wada, Phys. Rev. 138, B1488 (1965) J. J. Sakurai, ibid. 156, 1508 (1967) D. Haun and B. Steck, Nucl. Phys. B22, 448 (1970)
K. Schulke (unpublished)
B. H. J. McKellar, Phys. Letters 26B, 107 (1967)
D. N. Goswami, J. Schechter, and Y. Ueda, Phys. Rev. D 3, 2128 (1971)
R. Arnowitt, M. H. Friedman, P. Nath, and P. Pond, Nuovo Cimento 4A, 765 (1971)
M. Lévy, Nuovo Cimento 52A, 23 (1967)
Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)
M. Gell Mann, Physics 1, 63 (1964)
R. Bryan and A. Gersten, Phys. Rev. Letters 26, 1000 (1971) ibid.27, 1102(E) (1971)
D. V. Bugg, Nucl. Phys. B5, 29 (1968)
B. Dutta-Roy, I. R. Lapidus, and M. J. Tausner, Phys. Rev. 177, 2529 (1969)

[c1] A. Salam, Phys. Letters 8, 216 (1964) J. Schwinger, Phys. Rev. Letters 12, 630 (1964) W. Wada, Phys. Rev. 138, B1488 (1965) J. J. Sakurai, ibid. 156, 1508 (1967) D. Haun and B. Steck, Nucl. Phys. B22, 448 (1970)

[c2] K. Schulke (unpublished)

[c3] B. H. J. McKellar, Phys. Letters 26B, 107 (1967)

[c4] D. N. Goswami, J. Schechter, and Y. Ueda, Phys. Rev. D 3, 2128 (1971)

[c5] R. Arnowitt, M. H. Friedman, P. Nath, and P. Pond, Nuovo Cimento 4A, 765 (1971)

[c6] M. Lévy, Nuovo Cimento 52A, 23 (1967)

[c7] Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)

[c8] M. Gell Mann, Physics 1, 63 (1964)

[c9] R. Bryan and A. Gersten, Phys. Rev. Letters 26, 1000 (1971) ibid.27, 1102(E) (1971)

[c10] D. V. Bugg, Nucl. Phys. B5, 29 (1968)

[c11] B. Dutta-Roy, I. R. Lapidus, and M. J. Tausner, Phys. Rev. 177, 2529 (1969)

Physical Review D

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Scalar-Meson Pole Model for Weak Parity-Violating Baryon-Baryon-Meson Vertices

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