Radiative and $\rho$ transitions between heavy quarkonium and isovector four-quark states

Abstract

The recent observation and measurement of the decay $Z_c(3900)\to \rho {\eta }_c$ provides the data on the relative strength of the pion and $\rho$ coupling in the corresponding transitions between exotic resonances and pure heavy quarkonium. It is argued that using these data, the heavy quark limit for the $c$ and $b$ quarks, the heavy quark spin symmetry (HQSS) and the vector dominance for photon emission by the light quarks, one can (approximately) quantitatively estimate the rates of the radiative transitions from ${\rm Y}(5S)$ to the expected $G$-odd states of molecular bottomonium $W_{bJ}$. The estimate of the cross section of the processes $e^{+}{e}^{-}\to \gamma W_{bJ}$ at the maximum of the ${\rm Y}(5S)$ resonance comes out in the ballpark of 0.1\,pb, which sets a benchmark for a possible search for these processes at BelleII.

8 pages

References in corpus (7)

• Hadronic molecules
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
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Cited by in corpus (10)

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• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Hadronic molecules in B decays
• Monochromatic dark neutrinos and boosted dark matter in noble liquid direct detection
• Spin partners $W_{bJ}$ from the line shapes of the $Z_b(10610)$ and $Z_b(10650)$
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Decay properties of $P_c$ states through the Fierz rearrangement
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• Decay properties of the $X(3872)$ through the Fierz rearrangement