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Prog. Theor. Phys. Vol. 61 No. 4 (1979) pp. 1235-1250

[ Full Text PDF : FREE ACCESS (1110K) ]

Covariant Wave Equations of Two Spinning Particles Harmonically Bound

Takehiko Takabayasi

Department of Physics, Nagoya University, Nagoya 464

(Received November 24, 1978)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/61/1235/
DOI : 10.1143/PTP.61.1235

[ Full Text PDF : FREE ACCESS (1110K) ] Citation:

References:

  1. T. Takabayasi, Prog. Theor. Phys. 54 (1975), 563[PTP]; ibid. 57 (1977), 1806[PTP].
    T. Takabayasi and S. Kojima, Prog. Theor. Phys. 57 (1977), 2127[PTP].
    T. Takabayasi and K. Takeuchi, Prog. Theor. Phys. 59 (1978), 2133[PTP].
  2. T. Takabayasi, Nuovo Cim. 33 (1964), 668; Phys. Rev. 139 (1965), B1381[APS]; Prog. Theor. Phys. 38 (1967), 966[PTP]; Proceedings of Eighth Nobel Symposium, edited by N. Svartholm (Stockholm, 1968), p. 157.
  3. T. Takabayasi, Prog. Theor. Phys. 48 (1972), 1718[PTP].
  4. A. Z. Capri and C. C. Chiang, Nuovo Cim. A 36 (1976), 331.
  5. R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
  6. M. Leutwyler and J. Stern, Phys. Lett. B 73 (1978), 75[CrossRef].
  7. See, for example, J. L. Rosner, Talk at the 19-th International Conference on High Energy Physics, Tokyo 1978.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 1065-1078 :
    Superfield Approach to Systems of Two and Three Spinning Particles
    Shigefumi Naka, Seiji Kojima and Hiroshi Kaseno
  2. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1466-1476 :
    New Formalism for Simple Relativistic Oscillator Model and Electromagnetic Interaction
    Takehiko Takabayasi
  3. Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68 :
    Relativistic Mechanics of Confined Particles as Extended Model of Hadrons
    Takehiko Takabayasi

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