Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 77 No. 4 (1987) pp. 917-925

[ Full Text PDF : FREE ACCESS (453K) ]

Systematization of q-q Mesons by the Bethe-Salpeter Equation

Chikage Habe (Yoshida), Kenzō Iwata, Masanobu Hirano,* Toshiyuki Murota** and Denju Tsuruda**

Department of Physics, Hokkaido University, Sapporo 060, *Hokkaido University of Education, Sapporo 060
**Faculty of Engineering, Yamanashi University, Kōfu 400

(Received October 27, 1986)

Abstract:

We investigate the spectra of the heavy and light quarkonia including the fine and hyperfine splittings by the potential taken into account the information from QCD in the asymptotic regions. To treat the light ones, we use the Bethe-Salpeter equation in the instantaneous ladder approximation with only positive energy amplitude (PE). We show that the spectra of the heavy and light quarkonia can be reproduced well except for the hyperfine splitting of the light quarkonium. It is noteworthy that the spectrum of heavy quarkonium is almost determined by the asymptotic forms in the ultraviolet and infrared regions of the potential in our model.


URL : http://ptp.ipap.jp/link?PTP/77/917/
DOI : 10.1143/PTP.77.917

[ Full Text PDF : FREE ACCESS (453K) ] Citation:


References:

  1. A. B. Henriques, B. H. Kellet and R. G. Moorhouse, Phys. Lett. 64B (1976), 85.
    H. J. Schnitzer, Phys. Rev. D18 (1978), 3482[APS].
  2. J. L. Richardson, Phys. Lett. 82B (1979), 272.
    W. Buchmüller and S. -H. H. Tye, Phys. Rev. D24 (1981), 132[APS].
  3. C. Y. Habe, Prog. Theor. Phys. 87 (1986), 474[PTP].
  4. C. Yoshida, K. Iwata, M. Hirano, T. Murota and D. Tsuruda, Prog. Theor. Phys. 75 (1986), 333[PTP].
  5. T. Murota, Prog Theor. Phys. 69 (1983), 181[PTP].
  6. Y. Nambu, Phys. Rev. D10 (1974), 4262[APS].
    R. C. Giles and S. -H. H. Tye, Phys. Rev. Lett. 37 (1976), 1175[APS].
    W. Celmaster and F. S. Henyey, Phys. Rev. D18 (1978), 1688[APS].
    J. L. Rosner, Quark Models: Lecture at Advancea Studies Institute on Technic and Concepts of high Energy Physics, July 2-13, 1980, S. T-Stroix, VI.
  7. A. J. Buras, Proceeding of the 1981 International Symposium on Lepton Interactions at High Energies, p. 636.
  8. S. Ono, Z. Phys. C26 (1985), 307.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 546-558 :
    On the Electromagnetic Interactions in the B and D Mesons and Their Structure
    Hiroki Kondo, Kenzi Watanabe and Masayuki Uehara
  2. Progress of Theoretical Physics Vol. 80 No. 6 (1988) pp. 1069-1077 :
    The Level Crossing of P States and Lorentz Property of Potential
    Chikage Yoshida-Habe, Kenzō Iwata, Masanobu Hirano, Toshiyuki Murota and Denju Tsuruda
  3. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 575-586 :
    The Fine and Hyperfine Structure of P-State Quarkonia and the Behavior of q-q Potential
    Masanobu Hirano
  4. Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 703-716 :
    The Analysis of mπ and mρ Using the Salpeter Equation
    Chikage Yoshida-Habe, Kenzō Iwata, Masanobu Hirano, Toshiyuki Murota and Denju Tsuruda
  5. Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 1077-1098 :
    New Heavy-Light Mesons Q q
    Takayuki Matsuki, Toshiyuki Morii and Kazutaka Sudoh