Prog. Theor. Phys. Vol. 74 No. 5 (1985) pp. 1092-1104

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Relativistic Quarkonium Model. II

— Radiative E1 Transitions —

Hitoshi Ito

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

(Received August 25, 1984)

Abstract:

E1 transitions in the charmonium and the bb 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 bb 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 2³P_j→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^′→γχ_j(j=1,2) are still large.

URL : http://ptp.ipap.jp/link?PTP/74/1092/
DOI : 10.1143/PTP.74.1092

References:

P. Moxhay and J. L. Rosner, Phys. Rev. D28 (1983), 1132[APS].
J. Arafune and M. Fukugita, Phys. Lett. 102B (1981), 437.
K. J. Sebasitian, Phys. Rev. D26 (1982), 2295[APS].
G. Hardekopf and J. Sucher, Phys. Rev. D25 (1982), 2983[APS].
G. Karl, S. Meshkov and J. L. Rosner, Phys. Rev. Lett. 45 (1980), 215[APS].
J. S. Kang and J. Sucher, Phys. Rev. D18 (1978), 2698[APS].
G. Feinberg and J. Sucher, Phys. Rev. Lett. 35 (1975), 1740[APS].
R. McClary and N. Byers, Phys. Rev. D28 (1983), 1692[APS].
V. Zambetakis and N. Byers, Phys. Rev. D28 (1983), 2908[APS].
H. Ito, Prog. Theor. Phys. 70 (1983), 499[PTP].
A factor γ₀¹ γ₀² was missed on the r.h.s. of (2·1) in this paper.
S. J. Brodsky and J. R. Primack, Ann. of Phys. 52 (1969), 315[CrossRef].
S. Mandelstam, Proc. R. Soc. London A233 (1955), 248.
H. Ito, Prog. Theor. Phys. 71 (1984), 868[PTP].
See for an earlier attempt, A. B. Henriques, B. H. Kellet and R. G. Moorhouse, Phys. Lett. 64B (1976), 85.
Particle Data Group, Rev. Mod. Phys. 56 (1984), S1[APS].
H. Ito, Prog. Theor. Phys. 74 (1985), 189[PTP].
H. Ito, Kinki University Preprint (August 1985).
H. Ito, Kinki University Preprint (July 1985), the contributed paper to the symposium ISLEPH 85 (Kyoto 1985).

Citing Article(s) :

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. 76 No. 2 (1986) pp. 567-570 :
On Relativistic Corrections to Mass Spectra in Heavy Quarkonia

Hitoshi Ito
Progress of Theoretical Physics Vol. 84 No. 1 (1990) pp. 94-107 :
Relativistic Quarkonium Model with Retardation Effect. I

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