Relativistic Quarkonium Model. II: Radiative E1 Transitions
- 1 November 1985
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 74 (5), 1092-1104
- https://doi.org/10.1143/ptp.74.1092
Abstract
E1 transitions in the charmonium and the bb̅ system are investigated by using the instantaneous BS equation and the relativistic formulae, with recoil corrections, for the electromagnetic transitions. A scalar confining potential is assumed and the gluonic-retardation effect in pair-creation amplitudes is taken into account with a rough approximation. The predicted E1 transition rates for bb̅ system are consistent with the experimental values. It is shown that the Breit-Fermi approximation to the BS model holds well for this system except for the transitions 23Pj→13S1. The relativistic effects are large for the charmonium. The transition rate Γ(φ′→γχ0) agrees well with the experimental one. It is, however, shown that the deviations from the measured rates of the transitions φ′→γχj(j=1,2) are still large.Keywords
This publication has 1 reference indexed in Scilit:
- Dynamical variables in the Bethe-Salpeter formalismProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955