Probing the $XYZ$ states through radiative decays

Abstract

In this work, we have adopted the spin rearrangement scheme in the heavy quark limit and extensively investigated three classes of the radiative decays: $\mathfrak{M}\to (b\bar{b})+\gamma$, $(b\bar{b})\to \mathfrak{M}+\gamma$, $\mathfrak{M}\to {\mathfrak{M}}^{\prime }+\gamma$, corresponding to the electromagnetic transitions between one molecular state and bottomonium, one bottomonium and molecular state, and two molecular states respectively. We also extend the same formalism to study the radiative decays of the molecular states with hidden charm. We have derived some model independent ratios when the initial or final states belong to the same spin flavor multiplet. Future experimental measurement of these ratios will test the molecular picture and explore the underlying structures of the $XYZ$ states.

21 pages, 10 tables Accepted by Phys.Rev.D

References in corpus (19)

• Higher Charmonia and X,Y,Z states with Screened Potential
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• X(3872) and Other Possible Heavy Molecular States
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
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• Isospin breaking, coupled-channel effects, and X(3872)
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• The hidden charm decay of Y(4140) by the rescattering mechanism
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• The line shape of the radiative open-charm decay of Y(4140) and Y(3930)
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
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Cited by in corpus (16)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Weak decays of heavy hadrons into dynamically generated resonances
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• Strong decays of the $XYZ$ states
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Radiative decay Y(4260) -> X(3872) + gamma involving hadronic molecular and charmonium components
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Evidence for $e^{+}{e}^{-}\to \gamma {\chi }_{c1,2}$ at center-of-mass energies from 4.009 to 4.360 GeV
• Observation of $e^{+}{e}^{-}\to \gamma {\chi }_{c1}$ and search for $e^{+}{e}^{-}\to \gamma {\chi }_{c0},\gamma {\chi }_{c2},$ and $\gamma {\eta }_c$ at $\sqrt{s}$ near 10.6 GeV at Belle
• Measurement of $e^{+}{e}^{-}\to \gamma {\chi }_{c0,c1,c2}$ cross sections at center-of-mass energies between 3.77 and 4.60 GeV
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• Observation of the first iso-spin Charmonium-like State $Z_c(4020)$ }
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV
• Recent Results on Charmonia- and Bottomonia-like Particles at Belle