Abstract
The theoretical assumptions of the Spectrum Generating Groups (SGG) are explained in detail and then the theory is applied to the hyperon semileptonic decays and the hyperon magnetic moments. It is shown that all experimental data can be explained in the SGG frame but there are some serious discrepancies in the stan dard Cabibbo model. It is explained how the mass splitting in the octet is taken consistently into account by the SGG.
Preview
Unable to display preview. Download preview PDF.
References
A.Bohm, Nuovo Cim. Lett. 11, 13 (1974)
A.Bohm and J.Werle, Nucl. Phys. B106, 165 (1976)
A.Bohm, Phys. Rev. D13, 2110 (1976).
This relation has been suggested by J.Werle, “On a symmetry scheme described by a non-Lie algebra”, ICPT preprint, Trieste, 1965.
N.Cabibbo, Phys. Rev. Lett. 10, 531 (1963).
For momentum eigenstates the Wigner theorem cannot be applied.
A.Bohm and R.B.Teese, J. Math. Phys. 18, 1434 (1977)
A.Bohm et al., Phys. Rev. D15, 689 (1977).
J.G.Kuriyan et al., J. Math. Phys. 6, 722 (1965).
S.Pakvasa, A.McDonald and S.P.Rosen, Phys. Rev. 181, 1948 (1969).
A.Garcia and P.Kielanowski, Phys. Rev., to be published; A.Bohm et al., Phys. Rev., to be published.
A.Bohm and R.Teese, Phys. Rev. D26, 1103 (1982).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Kielanowski, P., Magnollay, P. (1983). Symmetry breaking in the spectrum generating group and its experimental tests. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_60
Download citation
DOI: https://doi.org/10.1007/3-540-12291-5_60
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12291-3
Online ISBN: 978-3-540-39621-5
eBook Packages: Springer Book Archive