HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 102 (1999) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 102 No. 2 (1999) pp. 297-312

[ Full Text PDF : FREE ACCESS (171K) ]

Mass Spectra and Wave Functions of Meson Systems and the Covariant Oscillator Quark Model as an Expansion Basis

Ryuichi Oda, Kenji Yamada,* Shin Ishida, Motoo Sekiguchi** and Hiroaki Wada

Atomic Energy Research Institute, College of Science and Technology
Nihon University, Tokyo 101-8308, Japan
*Department of Industrial Technology, Junior College Funabashi Campus
Nihon University, Funabashi 274-8501, Japan
**Faculty of Engineering, Kokushikan University, Tokyo 154-8515, Japan

(Received October 14, 1998)

Abstract:

We examine mass spectra and wave functions of the nn, cc and bb meson systems within the framework of the covariant oscillator quark model with the boosted LS-coupling scheme. We solve nonperturbatively an eigenvalue problem for the squared-mass operator, which incorporates the four-dimensional color-Coulomb-type interaction, by taking a set of covariant oscillator wave functions as an expansion basis. We obtain mass spectra of these meson systems, which reproduce quite well their experimental behavior. The resultant manifestly covariant wave functions, which are applicable to analyses of various reaction phenomena, are given. Our results seem to suggest that the present model may be considered effectively as a covariant version of the nonrelativistic linear-plus-Coulomb potential quark model.


URL : http://ptp.ipap.jp/link?PTP/102/297/
DOI : 10.1143/PTP.102.297

[ Full Text PDF : FREE ACCESS (171K) ] Citation:

References:

  1. For recent reviews, see, for example, W. Lucha, F. F. Schöberl and D. Gromes, Phys. Rep. 200 (1991), 127[CrossRef].
    S. Chakrabarty and S. Deoghuria, Prog. Part. Nucl. Phys. 33 (1994), 577.
  2. S. Ishida, Prog. Theor. Phys. 46 (1971), 1570[PTP]; 46 (1971), 1905.
    R. P. Feynman, M. Kislinger and F. Ravndal, Phys. Rev. D3 (1971), 2706[APS].
    R. G. Lipes, Phys. Rev. D5 (1972), 2849[APS].
    Y. S. Kim and M. E. Noz, Phys. Rev. D8 (1973), 3521[APS].
  3. For reviews, see S. Ishida and M. Oda, Prog. Theor. Phys. Suppl. No. 67 (1979), 209[PTP]; Proceedings of the International Symposium on Extended Objects and Bound Systems, Karuizawa, Japan, 1992, ed. O. Hara, S. Ishida and S. Naka (World Scientific, Singapore, 1992), p. 181.
  4. K. Fujimura, T. Kobayashi and M. Namiki, Prog. Theor. Phys. 43 (1970), 73[PTP]; 44 (1970), 193.
    S. Ishida et al., Phys. Rev. D20 (1979), 2906[APS].
  5. S. Ishida et al., Ref.4).
    S. Ishida, K. Yamada and M. Oda, Phys. Rev. D40 (1989), 1497[APS].
    S. Ishida, A. Morikawa and M. Oda, Prog. Theor. Phys. 99 (1998), 257[PTP].
  6. Y. Kizukuri, Phys. Lett. 109B (1982), 93; Prog. Theor. Phys. 67 (1982), 1598[PTP].
    M. Y. Ishida, S. Ishida and M. Oda, Prog. Theor. Phys. 98 (1997), 159[PTP].
  7. Y. S. Kim and M. E. Noz, Prog. Theor. Phys. 60 (1978), 801[PTP].
    D. Yu-bing, T. Morii and T. Yamanishi, Phys. Rev. D55 (1997), 4141[APS].
  8. S. Ishida and K. Yamada, Phys. Rev. D35 (1987), 265[APS].
  9. Preliminary results of this work have been presented by one of us (K. Y.) in HADRON SPECTROSCOPY, Proceedings of the Seventh International Conference on Hadron Spectroscopy, BNL, New York, 1997, ed. S. U. Chung and H. J. Willutzki, AIP Conf. Proc. No. 432 (AIP, New York, 1998), p. 193.
  10. S. Ishida, M. Y. Ishida and M. Oda, Prog. Theor. Phys. 93 (1995), 781[PTP].
  11. H. Yukawa, Phys. Rev. 77 (1950), 219[APS]; 91 (1953), 415, 416.
  12. T. Takabayasi, Nuovo Cim. 33 (1964), 668.
    S. Ishida and J. Otokozawa, Prog. Theor. Phys. 47 (1972), 2117[PTP].
  13. S. Ishida, M. Ishida and M. Oda, Prog. Theor. Phys. 93 (1995), 939[PTP].
  14. Particle Data Group, Eur. Phys. J. C3 (1998), 1.
  15. Particle Data Group, Eur. Phys. J. C3 (1998), 109.
  16. S. Ono, Z. Phys. C26 (1984), 307.
    F. E. Close and P. R. Page, Phys. Lett. B366 (1996), 323.
  17. S. Ono, A. I. Sanda and N. A. Törnqvist, Phys. Rev. D34 (1986), 186[APS].
  18. S. Ono, Phys. Rev. D33 (1986), 2660[APS].
  19. W. Kwong et al., Phys. Rev. D37 (1988), 3210[APS].
  20. S. Godfrey and N. Isgur, Phys. Rev. D32 (1985), 189[APS].
  21. W. H. Blask et al., Z. Phys. A337 (1990), 327.
    C. Semay and B. Silvestre-Brac, Nucl. Phys. A618 (1997), 455.
    F. Brau and C. Semay, Phys. Rev. D58 (1998), 034015[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 103 No. 6 (2000) pp. 1213-1225 :
    Semi-Leptonic B Meson Decays to Excited D Mesons in the Covariant Oscillator Quark Model
    Masuho Oda, Kazunori Nishimura, Muneyuki Ishida and Shin Ishida
  2. Progress of Theoretical Physics Vol. 104 No. 4 (2000) pp. 785-807 :
    Covariant Quark Representation of Composite Meson Systems and Chiral Symmetry
    Shin Ishida, Muneyuki Ishida and Tomohito Maeda

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.