Summary
Effective coupling constants of the spin-zero mesons η, π, K with the baryons N, Λ, Σ, Ξ are calculated within the framework of the spurion theory of strange particles of Dürr and Heisenberg using a method developed by Yamazaki, Dhar and Katayama. The predictions based on these calculations are quite different from predictions derived from an approximate validity of SU 3 symmetry. In particular, the η and π pseudoscalar coupling constants for all baryons should be roughly the same and approximately equal to 4π. In the calculation corrections resulting from the dressing of the baryon and the vertex are neglected, which, however, would cancel each other in case of zero boson mass due to Ward’s identity. Hence it is expected that the inclusion of these effects will lead to some modification of the coupling constants calculated here which is small for the π but may be larger for η and K. In the Appendix the explicit isospin hypercharge branching coefficients of the various states are given.
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References
H. P. Dürr and W. Heisenberg: Nuovo Cimento, 37, 1446 (1965). Hereafter referred to as DH.
J. Dhar and Y. Katayama: Nuovo Cimento, 36, 533 (1965).
E.g. A. W. Martin and K. C. Wali: Phys. Rev., 130, 2455 (1963).
H. P. Dürr and W. Heisenberg: Strange-particle coupling constants, preprint Max-Planck-Institut für Physik und Astrophysik (München, November 1964).
E.g., A. de Shalit and I. Talmi: Nuclear Shell Theory (New York and London, 1963), p. 518.
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© 1993 Springer-Verlag Berlin Heidelberg
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Dürr, H.P., Heisenberg, W. (1993). Strange-Particle Coupling Constants.. In: Blum, W., Dürr, HP., Rechenberg, H. (eds) Original Scientific Papers / Wissenschaftliche Originalarbeiten. Gesammelte Werke / Collected Works, vol A / 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70079-8_32
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DOI: https://doi.org/10.1007/978-3-642-70079-8_32
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