What do the radiative decays of X(3872) tell us

Abstract

Since the discovery of X(3872), its structure has been in ceaseless dispute. The data of $X(3872)\to {\pi }^{+}{\pi }^{-}{\pi }^{0}J/\psi$ suggest that X(3872) may be a high-spin charmonium-like of $2^{-+}$. In terms of the light front quark model (LFQM) we calculate the rates of the radiative decays $X(3872)\to J/\psi ({\psi }^{\prime })\gamma$ supposing X(3872) to be a $2^{-+}$ charmonium. Within this framework, our theoretical prediction on $\mathcal{B}\mathcal{R}(X(3872)\to \psi (1S)\gamma )$ is at order of $10^{-3}$ which is slightly lower than the Babar's data but close to the Belle's. Our prediction on $\mathcal{B}\mathcal{R}(X(3872)\to {\psi }^{\prime }\gamma )$ is at order of $10^{-5}$ if ${\psi }^{\prime }$ is a pure 2S state or $10^{-4}$ if ${\psi }^{\prime }$ is a $2S-1D$ mixture, which does not conflict with the upper bound set by the Belle collaboration, but is much lower than the Babar's data. Thus if the future measurement decides the branching ratio of $\mathcal{B}\mathcal{R}(X(3872)\to {\psi }^{\prime }\gamma )$ to be much larger than $10^{-4}$, the $2^{-+}$ assignment for X(3872) should be ruled out.

13 pages, 2 figures and 3 tables. Some typos corrected and more discussions added. Accepted by PRD

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Cited by in corpus (24)

• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• The $X(3872)\to J/\psi \gamma$ decay in the $D{\bar{D}}^{\ast }$ molecular picture
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Is $Z_c(3900)$ a molecular state
• Revisiting ${\Lambda }_b\to {\Lambda }_c$ and ${\Sigma }_b\to {\Sigma }_c$ weak decays in the light-front quark model
• Transitions of $B_c\to \psi (1S,2S)$ and the modified harmonic oscillator wave function in LFQM
• Lattice study on ${\eta }_{c2}$ and X(3872)
• Study on ${\Xi }_{cc}\to {\Xi }_c$ and ${\Xi }_{cc}\to {\Xi }_c^{\prime }$ weak decays in the light-front quark model
• Unquenched quark-model calculation of X(3872) electromagnetic decays
• The radiative decays of $0^{++}$ and $1^{+-}$ heavy mesons
• ${\Sigma }_b\to {\Sigma }_c^{\ast }$ weak decays in the light-front quark model with two schemes to deal with the polarization of diquark
• EM Decay of X(3872) as the $1{}^1{D}_2(2^{-+})$ charmonium
• Refining radiative decay studies in singly heavy baryons
• Combining Localized Orbital Scaling Correction and Bethe-Salpeter Equation for Accurate Excitation Energies
• The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Estimating decay rate of $X^{\pm }(5568)\to B_s{\pi }^{\pm }$ while assuming them to be molecular states
• Numerical analysis of the production of $D^{(\ast )}(3000)$, $D_{sJ}(3040)$ and their partners through the semileptonic decays of $B_{(s)}$ mesons in terms of the light-front quark model
• Study on decays of $Z_c(4020)$ and $Z_c(3900)$ into $h_c+\pi$
• Study on radiative decays of $D_{sJ}^{\ast }(2860)$ and $D_{s1}^{\ast }(2710)$ into $D_s$ by means of LFQM
• Study of $e^{+}{e}^{-}\to \omega X(3872)$ and $\gamma X(3872)$ from 4.66 to 4.95 GeV
• Determining the effective Wilson coefficient $a_2$ in terms of $BR(B_s\to {\eta }_c\varphi )$ and evaluating $BR(B_s\to {\eta }_c{f}_0(980))$
• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$