Summary
The decays of 3/2+ baryon resonances comprising the 27-plet representation of unitary symmetry, into baryon and pseudoscalar meson octets, is considered under the assumption of a first-order breakdown of the symmetry. There are 24 possible decays which are described in terms of 7 parameters. This leads to 17 coupling constant sum rules.
Riassunto
Si studia il decadimento delle risonanze barioniche 3/2+ componenti la rappresentazione di 27-pletto della simmetria unitaria in ottetti barionici e mesonici pseudoscalari, nell’ipotesi di una rottura del primo ordine della simmetria. Ci sono 24 possibili decadimenti che sono descritti per mezzo di 7 parametri. Ciò porta a 17 regole di somma delle costanti di accoppiamento.
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Literatur
See, for example,S. Coleman, S. L. Glashow andD. J. Kleitman:Mass Formulae and Mass Inequalities for Reducible Unitary Multiplets (Harvard preprint), p. 12.
V. Gupta andV. Singh have recently considered the decuplet 3/2+ decays into B+P, using the « spurion » technique:Sum rules for the decay of the baryon decuplet into baryon and meson octets in broken SU 3 symmetry (Institute for Advanced Study preprint). Other references may be found there.
Specifically,β couples theI=0 andY=0 part of the 8 to the 27; TheC-G coefficients are taken fromJ. J. de Swart:Revs. Mod. Phys.,35, 916 (1963).
See, for example,E. C. G. Sudarshan:Consequences of SU 3 Invariance, University of Rochester report (NYO-10268).
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Supported in part by the National Science Foundation.
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Acharya, R. 27 → B + P decays of 3/2+ baryon resonances in brokenSU 3 symmetry. Nuovo Cim 35, 108–113 (1965). https://doi.org/10.1007/BF02734827
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DOI: https://doi.org/10.1007/BF02734827