Hindered magnetic dipole transitions between P-wave bottomonia and coupled-channel effects

Abstract

In the hindered magnetic dipole transitions of heavy quarkonia, the coupled-channel effects originating from the coupling of quarkonia to a pair of heavy and anti-heavy mesons can play a dominant role. Here, we study the hindered magnetic dipole transitions between two $P$-wave bottomonia, ${\chi }_b(nP)$ and $h_b(n^{\prime }P)$, with $n\ne n^{\prime }$. In these processes the coupled-channel effects are expected to lead to partial widths much larger than the quark model predictions. We estimate these partial widths which, however, are very sensitive to unknown coupling constants related to the vertices ${\chi }_{b0}(nP)B\bar{B}$. A measurement of the hindered M1 transitions can shed light on the coupled-channel dynamics in these transitions and hence on the size of the coupling constants. We also suggest to check the coupled-channel effects by comparing results from quenched and fully dynamical lattice QCD calculations.

10 pages, 2 figures, version accepted for publication in Physics Letters B

References in corpus (13)

• Big-Bang Nucleosynthesis
• Bottomonium Mesons and Strategies for Their Observation
• Hadron Loops: General Theorems and Application to Charmonium
• Effect of charmed meson loops on charmonium transitions
• Decay channels and charmonium mass-shifts
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• Novel analysis of the decays psi' -> h_c pi^0 and eta_c'-> chi_{c0} pi^0
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• ${\rm Y}(4S,5S)\to {\rm Y}(1S)\eta$ transitions in the rescattering model and the new BaBar measurement
• Bottomonium dipion transitions
• Extracting the light quark mass ratio m_u/m_d from bottomonia transitions
• Hindered M1 Radiative Decay of ${\rm Y}(2S)$ from Lattice NRQCD
• More about excited bottomonium radiative decays

Cited by in corpus (3)

• Hadronic molecules
• The $XYZ$ states: experimental and theoretical status and perspectives
• Search for $h_b(2P)\to \gamma {\chi }_{bJ}(1P)$ at $\sqrt{s}=10.860$ GeV