Abstract
Spectroscopy of atomlike mesons composed of one heavy quarkQ and one light quark\(\bar q\) is studied in the Dirac equation with (i) scalar power law potential, (ii) scalar logarithmic potential and (iii) Coulomb plus scalar linear potential. It is found that the potentialr 0.1 gives an excellent fit toD, F andB mesons together with Ψ and Υ families treated in the nonrelativistic theory, and that the light quark masses in atomlike mesons are very close to the current quark masses.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
An alternative picture to our atomlike hadron is the bag model. See for example P. Hasenfratz, J. Kuti: Phys. Rep.40, 75 (1979)
E. Eichten et al.: Phys. Rev. D21, 203 (1980); ibid. D17, 3090 (1978); T. Appelquist, R. M. Barnett, K. D. Lane: Annu. Rev. Nucl. Particle Sci.28, 387 (1978); J. D. Jackson, C. Quigg, J. L. Rosner: Proceedings of the 19th International Conference on High Energy Physics 391, Tokyo (1978)
M. Kaburagi et al.: Phys. Lett.97B, 143 (1980)
C. Quigg, J. L. Rosner: Phys. Lett.71B, 153 (1977); M. Machacek, Y. Tomozawa: Ann. Phys. (N. Y.)110, 407 (1978); Yu. B. Rumer: Sov. Phys. JETP11, 1365 (1960); Y. Muraki: Prog. Theor. Phys.41, 473 (1968)
A. Martin Phys. Lett.93B, 338 (1980); A. Khare: Manchester preprint M/C TH 80/26
E. Eichten et al.: see [2]
J. D. Bjorken, S. D. Drell: Relativistic quantum mechanics. New York: McGraw-Hill 1964; J.F. Gunion, L.F. Lie:, Phys. Rev. D12, 3583 (1975); D. W. Rein: Nuovo Cimento38 A, 19 (1977)
For the experimental data for ψ family. J. E. Augustin et al.: Phys. Rev. Lett.33, 1406 (1974); G. S. Abrams et al.: Phys. Rev. Lett.33, 1453 (1974); A. M. Boyarski et al.: Phys. Rev. Lett.34, 764 (1975); R. Brandelik et al.: Phys. Lett.76B, 361 (1978); J. Siegrist et al.: Phys. Rev. Lett.36, 700 (1976); and for χ states, C. J. Biddick et al.: Phys. Rev. Lett.38, 1324 (1977); For υ family, D. Andrews et al.: Phys. Rev. Lett.44, 1108 (1980);45, 219 (1980); Cornell preprint CLNS 80/452 (1980); T. Bohringer et al.: Phys. Rev. Lett.44, 1111 (1980); G. Finscchiaro et al.: Phys. Rev. Lett.45, 222 (1980); See also: Rev. Mod. Phys.52, 2 (1980)
For the experimental values of 〈D〉, P. A. Rapidis et al.: Phys. Rev. Lett.39, 526 (1977); for 〈F〉, R. Brandelik et al.: Phys. Lett.70B, 132 (1977);80 B 412 (1979); see also N. Ushida et al.: Phys. Rev. Lett.45, 1049, 1053 (1980) and Rev. Mod. Phys.52, 2 (1980)
H. D. Politzer: Nucl. Phys. B117, 397 (1976); F.J. Yndurain: CERN preprint TH. 2931-CERN; C. Becchi, S. Narison: CERN preprint TH. 2920-CERN; The authors express their thanks to Z. Maki for calling our attention to these references
These values are corresponding to current quark masses. See, for example, H. Fritzsch: Lecture at the 10th GIFT Seminar on Theoretical Physics, Jacca, Spain 1979 (CERN preprint TH. 2699)
A. De Rujula, H. Georgi, S. L. Glashow: Phys. Rev. D12, 147 (1975)
ForB meson, C. Bebek et al.: Phys. Rev. Lett.46, 84 (1981); K. Chadwick et al.: ibid.46, 88 (1981); G. Monti: SLAC preprint HEPSY MEMO 15-80 (1980)
N. Barik, S. N. Jena: Phys. Lett.97B, 261, 265 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kaburagi, M., Kawaguchi, M., Morii, T. et al. Spectroscopy of atomlike mesonsQ \(\bar q\) in the dirac equation with scalar confining potential. Z. Phys. C - Particles and Fields 9, 213–220 (1981). https://doi.org/10.1007/BF01410660
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01410660