Prog. Theor. Phys. Vol. 61 No. 4 (1979) pp. 1235-1250
Covariant Wave Equations of Two Spinning Particles Harmonically Bound
Department of Physics, Nagoya University, Nagoya 464
(Received November 24, 1978)
A consistent set of covariant wave equation and subsidiary condition represents quantum theory of relativistic composite system of two spinning particles which are harmonically bound by direct internal force, meaning a relativistic quark model of mesonic states where quarks are permanently confined. The solutions are explicitly obtained and classified into families according to the quark spin configurations. They are free from tachyonic states, and have mass-spin spectrum in good agreement with observation. In the original form the wave equation is of second order but we can bring it to a first order one. In this form the theory strictly satisfies the requirement that in the limit where the internal force be adiabatically turned off the system should reduce to a pair of free Dirac particles.
DOI : 10.1143/PTP.61.1235
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Citing Article(s) :
Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 1065-1078
Superfield Approach to Systems of Two and Three Spinning Particles
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Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1466-1476
New Formalism for Simple Relativistic Oscillator Model and Electromagnetic Interaction
Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68
Relativistic Mechanics of Confined Particles as Extended Model of Hadrons