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JP = 12± baryon resonances and nonleptonic hyperon decays

✍ Scribed by N.N Trofimenkoff


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
948 KB
Volume
55
Category
Article
ISSN
0003-4916

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✦ Synopsis


The relative importance of Jp = Q* baryon resonances in nonleptonic hyperon decays is investigated within a dispersion relation formulation of the current algebra-PCAC method with a view to establishing which resonances can be neglected. The dispersion relation formulation is reviewed, equal-time commutator and octet baryon pole terms are calculated, and then pion-octet baryon intermediate states are included in the calculation of the imaginary parts of the amplitudes for the dispersion relations, The imaginary parts of the amplitudes then involve pion-octet baryon scattering amplitudes for which a resonance approximation is used and weak nonleptonic amplitudes which are approximated by the equal-time commutator and octet baryon pole terms. An evaluation of the resulting dispersion integrals shows that it is safe to neglect resonances with JP = $+(Jp = $-) in S-wave (P-wave) decays and, also, that the P-wave amplitude of Z+ -+ n + n+ may be substantially enhanced by the resonance N'(1470).


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