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Fine and hyperfine structures of heavy quarkonia and perturbative quantum chromodynamics

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Zeitschrift für Physik C Particles and Fields

Abstract

Spectroscopies of the heavy quarkonia,\(c\bar c\),\(b\bar b\) and\(t\bar t\), are analysed with a potential model. Relativistic effects are taken into account and spin dependent interactions are investigated in detail. We propose a flavor independent potential which has a Lorentz vector term determined by the perturbative QCD at short distances and a Lorentz scalar term confining quarks at large distances. It is stressed that the short range attenuation of the vector Coulomb potential has significant effects on the fine and hyperfine structures of the\(c\bar c\) and\(b\bar b\) systems, and also on the\(t\bar t\) level structure. We study the decay property of the\(t\bar t\) system using the calculated wave functions.

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References

  1. E. Eichten et al.: Phys. Rev.D17, 3090 (1978); E. Eichten et al.: Phys. Rev.D21, 203 (1980)

    Google Scholar 

  2. C. Quigg, J.L. Rosner: Phys. Rep.C56, 168 (1979); T. Appelquist et al.: Ann. Rev. Nucl. Part Sci.38, 387 (1978); S. Ono: Phys. Rev.D20, 2975 (1979)

    Google Scholar 

  3. A. Martin: Phys. Lett.93B, 338 (1980)

    Google Scholar 

  4. H.J. Schnitzer: Phys. Rev.D19, 1566 (1979)

    Google Scholar 

  5. W. Buchmüller, Y.J. Ng, S.-H. H. Tye: Phys. Rev.D24, 3003 (1981)

    Google Scholar 

  6. W. Buchmüller: Phys. Lett.112B, 479 (1982); S. Ono, F. Schöberl: Phys. Lett.118B, 419 (1982); H. Ito: Contribution paper to XXI Int. Conf. on High Energy Phys., Paris, July 1982, and private communications; M. Hirano et al.: Prog. Theor. Phys.67, 1251 (1982); T. Murota: preprint Yamanashi 82-01, May 1982

    Google Scholar 

  7. H.J. Schnitzer: Phys. Rev. Lett.35, 1540 (1975); A.B. Henriques et al.: Phys. Lett.64B, 85 (1976)

    Google Scholar 

  8. J.F. Gunion, L.F. Li: Phys. Rev.D12, 3583 (1975), D.W. Rein: Nuovo Cimento38A, 19 (1977)

    Google Scholar 

  9. W. Buchmüller, S.-H.H. Tye: Phys. Rev.D24, 132 (1981)

    Google Scholar 

  10. W. Buchmüller et al.: Phys. Rev. Lett.45, 103 (1980); J.L. Richardson: Phys. Lett.82B, 272 (1979)

    Google Scholar 

  11. A. DeRujula et al.: Phys. Rev.D12, 147 (1975)

    Google Scholar 

  12. D. Gromes: Nucl. Phys.B131, 80 (1977)

    Google Scholar 

  13. M. Kaburagi et al.: Phys. Lett.97B, 143 (1980); M. Kaburagi et al.: Z. Phys. C—Particles and Fields9, 213 (1981)

    Google Scholar 

  14. W. Fischler: Nucl. Phys.B129, 157 (1977); A. Billoire: Phys. Lett.92B, 343 (1980)

    Google Scholar 

  15. P.B. Mackenzie, G.P. Lepage: Phys. Rev. Lett.47, 1244 (1981)

    Google Scholar 

  16. G. Feinberg, J. Sucher: Phys. Rev. Lett.35, 1740 (1975); J.S. Kang, J. Sucher: Phys. Rev.D18, 2698 (1978)

    Google Scholar 

  17. R. McClary, N. Byers: preprint UCLA/82/TEP/12; G. Hardekopf, J. Sucher: preprint Maryland 82-043

  18. S.N. Gupta et al.: Phys. Rev.D26, 3305 (1982); S.N. Gupta, S.F. Radford: Phys. Rev.D24, 2309 (1981); ibid. S.N. Gupta, S.F. Radford: Phys. Rev.D23, 3430 (1982)

    Google Scholar 

  19. H. Nakkagawa, A. Niegawa: preprint OCU-97, 1982; Phys. Lett.119B, 415 (1982); T.M. Stevenson: Phys. Rev.D23, 2916 (1981)

  20. M. Dine: Phys. Lett.81B, 339 (1979); J.-M. Richard, D.P. Sidhu: Phys. Lett.83B, 362 (1979); G.P. Lepage: talk at the SLAC Summer Institute on Particle Physics, August 1981

    Google Scholar 

  21. Particle data group: Review of Particle Properties, LBL 100, April, 1982

  22. Particle data group: Review of Particle Properties, LBL 100, April, 1982; J. Lee-Franzini: talk at XXI Int. Conf. on High Energy Phys., Paris, July 1982

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Morishita, J., Oka, M., Kaburagi, M. et al. Fine and hyperfine structures of heavy quarkonia and perturbative quantum chromodynamics. Z. Phys. C - Particles and Fields 19, 167–178 (1983). https://doi.org/10.1007/BF01571780

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  • DOI: https://doi.org/10.1007/BF01571780

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