Relativistic Mechanics of Confined Particles as Extended Model of Hadrons : The Bilocal Case

概要

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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.
理論物理学刊行会の論文
1980-04-25