Abstract
The spin–orbit splitting in heavy-light mesons is seen to be suppressed experimentally, which may be due to a relativistic dynamical symmetry for the Dirac Hamiltonian. An alternative derivation of such a symmetry is given. Furthermore, the dynamics necessary for a qualitative understanding of the spin–orbit splitting seen experimentally is discussed.
Similar content being viewed by others
References
K. Nakamura et al. (Particle Data Group), J. Phys. G, Nucl. Part. Phys. 37, 075021 (2010)
N. Isgur, M.B. Wise, Phys. Lett. B 232, 113 (1989)
N. Isgur, M.B. Wise, Phys. Rev. Lett. 66, 1130 (1991)
Ming-Lu, M.B. Wise, N. Isgur, Phys. Rev. D 45, 1553 (1992)
Fayyazuddin, Riazuddin, A Modern Introduction to Particle Physics, 3rd edn. (World Scientific, Singapore, 2011)
P.R. Page, T. Goldman, J.W. Ginocchio, Phys. Rev. Lett. 86, 204 (2001)
E. Eichten et al., Phys. Rev. D 17, 3090 (1978)
E. Eichten et al., Phys. Rev. D 21, 203 (1980)
N. Isgur, Phys. Rev. D 62, 054026 (2000), ibid. 014025
J.S. Bell, H. Ruegg, Nucl. Phys. B 98, 151–153 (1975)
A.L. Blokhin, C. Bahri, J.P. Draayer, Phys. Rev. Lett. 74, 4149–4152 (1995)
J.N. Ginocchio, A. Leviatan, Phys. Lett. B 425, 1–5 (1998)
J.N. Ginocchio, Phys. Rep. 315, 213–240 (1999)
D. Ebert, R.N. Faustov, V.O. Galkin, Phys. Rev. D, Part. Fields 62, 034014 (2001)
D. Ebert, R.N. Faustov, V.O. Galkin, Eur. Phys. J. C 66, 197 (2010)
A. Arima, M. Harrey, K. Shimizu, Phys. Lett. B 30, 517–522 (1969)
K. Hecht, A. Adlen, Nucl. Phys. A 137, 129–143 (1969)
B.D. Serot, J.D. Walecka, in The Relativistic Nuclear Many-Body Problem in Advances in Nuclear Physics, vol. 16, ed. by J.W. Negele, E. Vogt (Plenum, New York, 1986)
B.A. Nikolaus, T. Hoch, D.G. Madland, Phys. Rev. C 46, 1757–1781 (1992)
C. Itzkson, J.B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980). Chapter 2
G.S. Bali et al., Phys. Rev. D, Part. Fields 62, 054503 (2000)
A. Laschka, N. Kaiser, W. Weise, arXiv:1102.0945 [hep-ph] (see in particular Fig. 6)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Riazuddin, Shafiq, S. Spin–orbit splittings in heavy-light mesons and Dirac equation. Eur. Phys. J. C 72, 1925 (2012). https://doi.org/10.1140/epjc/s10052-012-1925-1
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-1925-1