Abstract
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 [1] 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.
Lecture given at the VIII. Internationale Universitätswochen für Kernphysik, Schladming, Feb. 24–March 8,1969.
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References
M. Gell-Mann, Phys. Rev. 125, 1067 (1962).
M. Gell-Mann, Physics 1, 63 (1964).
M. Sugawara, Phys. Rev. 172, 1423 (1968) discusses the case of spin 1/2.
M. Sugawara and J. W. Meyer, Phys. Rev. 174, 1709 (1968) discusses the case of spin 3/2.
M. Sugawara and J. W. Meyer, Off-Mass-Shell Self-Consistency Conditions for Spin-5/2 Nucleon Resonances, Phys. Rev., to be published.
M. Sugawara, Off-Mass-Shell Self-Consistency Conditions for Arbitrary Spin and Isospin, Phys. Rev., to be published.
M. Sugawara, Nucleon Resonances of Isospin 3/2, Phys. Rev., to be published.
D. J. George and M. Sugawara, Nucleon Resonances of Isospin 1/2, Phys. Rev., to be published.
S. L. Adler, Phys. Rev. 140, B736 (1965).
M. Sugawara, Complete Set of Off-Mass-Shell Self-Consistency Conditions for Baryon Resonances, to be published.
M. Sugawara, Λ* and Σ* with Spin 1/2 and 3/2, to be published.
Review of Particle Properties, Particle Data Group, Lawrence Radiation Laboratory, Aug. 1968 (unpublished).
M. Sugawara, to be published.
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© 1969 Springer-Verlag / Wien
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Sugawara, M. (1969). Off-Mass-Shell Approach to Baryon Resonances. In: Urban, P. (eds) Particle Physics. Acta Physica Austriaca, vol 6/1969. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7638-2_10
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DOI: https://doi.org/10.1007/978-3-7091-7638-2_10
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