Prog. Theor. Phys. Vol. 74 No. 1 (1985) pp. 189-191

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Letters

Remarks on the Nonrelativistic E1-Transition Formulae in the Quarkonium Model

Hitoshi Ito

Department of Physics, Faculty of Science and Technology, Kinki University, Higashi-Osaka 577

(Received November 7, 1984)

Abstract:

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 P_j) ∝(2j + 1) k_j³, where k_j is the photon momentum, is inadequate. One should, instead, use Γ(2³ S₁ →γ1³ P_j) ∝(2j + 1) k_j^β 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.

URL : http://ptp.ipap.jp/link?PTP/74/189/
DOI : 10.1143/PTP.74.189

References:

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 The photon momenta have been replaced by their theoretical values.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

Hitoshi Ito
Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1416-1430 :
Relativistic Effects and the Confining Force in Heavy Quarkonia

Hitoshi Ito
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