Off-Mass-Shell Approach to Baryon Resonances
The off-mass-shell approach to baryon resonances may be considered as a new formulation of bootstrap idea in which the dispersion theory and the current-commutator algebra  are incorporated in a systematic and unambiguous manner. We study in this approach the off-mass-shell continuation of the matrix element in which a baryon resonance decays into another baryon resonance with the emission of a single pion, kaon, or η-meson. We study, in particular, the dispersion relation satisfied by the off-mass-shell decay amplitude with respect to the external mass of the baryon resonance. We assume no subtraction in this dispersion relation. We assume, furthermore, that the dispersion relation can be saturated in terms of the baryon resonances, which are assumed in this approach to behave more or less like stable particles. Because of this bootstrap assumption, the above dispersion relation reduces to a set of self-consistency conditions satisfied by the physical decay amplitudes among the baryon resonances.
KeywordsDecay Amplitude Mass Formula Pionic Decay Baryon Resonance Nucleon Resonance
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