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Prog. Theor. Phys. Vol. 57 No. 4 (1977) pp. 1373-1386

Covariant Harmonic Oscillators and Excited Baryon Decays

Y. S. Kim and Marilyn E. Noz^*

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
^*Department of Radiology, New York University Medical Center, New York, New York 10016

(Received August 27, 1976)

Abstract:

We use the covariant harmonic oscillator wave functions to study the decay matrix elements of the excited baryonic resonances. It is pointed out that the harmonic oscillator wave function is suitable for the description of relativistic extended particles. We use the probability concept of the covariant harmonic oscillator wave functions and the covariant Dirac spinors to calculate the Δπ decays of the F₁₅(1690), D₁₅(1690) and D₁₈(1520) resonances. Our numerical results are in good agreement with the measurable ratios in these decay processes.

URL : http://ptp.ipap.jp/link?PTP/57/1373/
DOI : 10.1143/PTP.57.1373

[ Full Text PDF : FREE ACCESS (1015K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. Y. S. Kim and M. E. Noz, Phys. Rev. D 8 (1973), 3521[APS].
   For earlier papers on the relativistic harmonic oscillators, see
   H. Yukawa, Phys. Rev. 91 (1953), 416[APS];
   K. Fujimura, T. Kobayashi, and M. Naiki, Prog. Theor. Phys. 43 (1970), 73[PTP];
   S. Ishida and J. Otokozawa, Prog. Theor. Phys. 47 (1972), 2117[PTP].
   See also, T. Takabayashi, Nuovo Cim. 33 (1964), 668; Prog. Theor. Phys. 34 (1965), 124[PTP].
2. Y. S. Kim and M. E. Noz, Phys. Rev. D 12 (1975), 129[APS].
   M. Ruiz, Phys. Rev. D 10 (1974), 4306[APS].
   Y. S. Kim, New Physics (Korean Physical Soc.) 15 (1975), 46.
   Y. S. Kim, J. Korean Phys. Soc. (to be published).
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4. A. Le Yaouanc et al., Phys. Rev. D 11 (1975), 1272[APS].
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7. R. F. Dashen and M. Gell-Mann, Proceedings of the Third Coral Gables Conference on Symmetry Principles at High Energies, University of Miami, 1966 edited by A. Perlmutter, J. Wojtaszek, E. C. G. Sudarshan and B. Kursunoglu (Freeman, San Francisco, California, 1966).
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10. T. J. Karr, Univ. of Maryland CTP Tech. Reps. #76-085 and #76-112.
    For the earlier development along this direction, see,
    I. Sogami, Prog. Theor. Phys. 41 (1969), 1352[PTP]; ibid. 50 (1973), 1729[PTP].
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1852-1860 :

   Yukawa's Approach and Dirac's Approach to Relativistic Quantum Mechanics

   D. Han and Y. S. Kim

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