The Confining Interaction and Radiative Decays of Heavy Quarkonia

Abstract

The radiative spin-flip transition rates of heavy quarkonium states depend sensitively on the matrix elements of the effective confining interaction through the associated two-quark exchange current operator. The Hamiltonian model based on a scalar linear confining interaction with a single gluon exchange hyperfine term is shown to provide an adequate description of the $J/\psi \to {\eta }_c\gamma$ and $\psi (2S)\to {\eta }_c\gamma$ decay widths once the relativistic single quark magnetic moment operator is treated without approximation and the exchange current is taken into account. Predictions are given for the radiative spin-flip decay widths of the 1S,2S and 3S states of the $c\bar{c}$, $b\bar{b}$ and $B_c^{+}$ systems. In the B_c^+ system the gluon exchange current also contributes to the spin-flip transition rates.

Eqn.(21), Table 7 corrected

References in corpus (4)

• Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV
• Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
• Further Precise Determinations of ${\alpha }_s$ from Lattice QCD
• Charmonium in the instantaneous approximation

Cited by in corpus (17)

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• NRQCD Analysis of Bottomonium Production at the Tevatron
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• Exchange Current Operators and Electromagnetic Dipole Transitions in Heavy Quarkonia
• Production of the ${\eta }_b(nS)$ states
• Two-Pion Exchange Interaction Between Constituent Quarks
• Magnetic properties of ground-state mesons
• Two-Photon, Two-gluon and Radiative Decays of Heavy Flavoured Mesons
• Five-quark components in $\Delta (1232)\to N\pi$ decay
• The role of five-quark components in gamma decay of the $\Delta (1232)$
• Hindered M1 Radiative Decay of ${\rm Y}(2S)$ from Lattice NRQCD
• Pion Decay Widths of D mesons
• Hyperfine splitting and the experimental candidates for η_b(2S)
• Pion Rescattering in Two-Pion Decay of Heavy Quarkonia
• The Coupling of eta Mesons to Quarks and Baryons from D_s^* -> D_s pi^0 Decay
• Masses of the η_c(nS) and η_b(nS) mesons
• Line shape of the $J\psi \to \gamma {\eta }_c$ decay