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Prog. Theor. Phys. Supplement No.67 (1979) pp. 1-68

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Relativistic Mechanics of Confined Particles as Extended Model of Hadrons

— The Bilocal Case —

Takehiko Takabayasi

Department of Physics, Nagoya University, Nagoya 464

Abstract:

We expound systematically a relativistic quantum-mechanical model consisting of two constituent particles bound by action-at-a-distance. The theory has clear `realistic' foundation since it is obtained as the quantization of classical mechanics for the relativistic two-body system, in which action-at-a-distance works instantaneously when viewed in the CM rest frame. It is shown that consistent quantization favors a distinct model to be called SROM (simple relativistic oscillator model), which is represented by a simple bilocal wave equation and an associated subsidiary condition, and implies automatic confinement of constituents. Further properties of this model are worked out and are shown to be suitable for a unified description of mesonic states. The theory is the one which has been investigated for some years but it is presented here in a sufficiently synthetic context and is elaborated in various respects. Historical development of various related bilocal models, together with some critical analyses in them, are also given.


URL : http://ptp.ipap.jp/link?PTPS/67/1/
DOI : 10.1143/PTPS.67.1

[ Full Text PDF : FREE ACCESS (4787K) ] Citation:

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