Prog. Theor. Phys. Vol. 74 No. 1 (1985) pp. 189-191
Remarks on the Nonrelativistic E1-Transition Formulae in the Quarkonium Model
Department of Physics, Faculty of Science and Technology, Kinki University, Higashi-Osaka 577
(Received November 7, 1984)
The E1 formulae in the quarkonium model is examined by using nonrelativistic equation with spin interactions. It is found that the usual assumption Γ(23 S1 →γ13 Pj) ∝(2j + 1) kj3, where kj is the photon momentum, is inadequate. One should, instead, use Γ(23 S1 →γ13 Pj) ∝(2j + 1) kjβ with β being a phenomenological paramenter to characterize the spin-dependent interaction. The same remark is addressed also to the other transitions. A more convenient phenomenological parameter which characterizes the spin interactions is also proposed.
DOI : 10.1143/PTP.74.189
- See for example,
V. A. Novikov et al., Phys. Rep. 41C (1978), 1.
E. Eichten et al., Phys. Rev. D21 (1980), 203[APS].
M. Krammer and H. Krasemann, Acta Physica Austr. Suppl. XXI (1979), 259.
E. Eichten et al., Phys. Rev. D17 (1978), 3090[APS].
- H. Ito, Kinki University Preprint (July 1984).
Tables I and II in the first version of this preprint have been corrected. The photon momenta have been replaced by their theoretical values.
R. McClary and N. Byers, Phys. Rev. D28 (1983), 1692[APS].
- See Appendix C (added March 1985) of Ref. 3).
Citing Article(s) :
Progress of Theoretical Physics Vol. 74 No. 5 (1985) pp. 1092-1104
Relativistic Quarkonium Model. II
Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1416-1430
Relativistic Effects and the Confining Force in Heavy Quarkonia
Progress of Theoretical Physics Vol. 99 No. 2 (1998) pp. 257-270
Electromagnetic Transitions of Heavy Quarkonia in the Boosted LS-Coupling Scheme
Shin Ishida, Akiyoshi Morikawa and Masuho Oda