Relativistic effects in heavy-quarkonium spectroscopy
- 1 October 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 28 (7), 1692-1705
- https://doi.org/10.1103/physrevd.28.1692
Abstract
It is shown that the discrepancy between the measured rate for and that predicted by nonrelativistic models can be accounted for by relativistic corrections. A Breit-Fermi Hamiltonian is used to predict the energy level structure and transition rates in the charmonium and systems. It is obtained from an instantaneous approximation to a Bethe-Salpeter equation whose kernel is composed of Coulomb-gauge gluon exchange and a scalar confining piece. The model accounts for the observed fine and hyperfine structure of the charmonium levels and for the transition rates. It is used to predict the level structure and rates in the system. It is shown that an extension of Siegert's theorem is valid in the relativistic regime. This result is useful in analyzing transition-matrix elements.
Keywords
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