Could the $X(3915)$ and the $X(3930)$ Be the Same Tensor State?

Abstract

By using a combined amplitude analysis of the $\gamma \gamma \to D\bar{D}$ and $\gamma \gamma \to J/\psi \omega$ data, we demonstrate that the $X(3915)$, which is quoted as a $J^{PC}=0^{++}$ state in the Particle Data Group table, is favored by the data to be a $J^{PC}=2^{++}$ state appearing in both channels, which means that the $X(3915)$ and the $X(3930)$ can be regarded as the same $J^{PC}=2^{++}$ state. Meanwhile, the data also prefer a large helicity-0 contribution of this tensor resonance to the amplitudes instead of the helicity-2 dominance assumed by {\it BABAR}, which may indicate a sizable portion of non-$q\bar{q}$ components in this state. Identifying the $X(3915)$ with the $X(3930)$ and abandoning the helicity-2 dominance for this tensor state are helpful for the further understandings of the properties of this state and also of the mysterious "$XYZ$" charmoniumlike resonances.

arXiv comment5 pages, 1 table, 3 figures, version accepted for publication in Phys. Rev. Lett.; Title changed, significantly improved discussions, minor corrections to formulas and figures, main framework and results not changed

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• Observation of an alternative ${\chi }_{c0}(2P)$ candidate in $e^{+}{e}^{-}\to J/\psi D\bar{D}$
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
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• The Dynamical Diquark Model: First Numerical Results
• Near-threshold $D\bar{D}$ spectroscopy and observation of a new charmonium state
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Vector and scalar charmonium resonances with lattice QCD
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• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
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• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Quarkonium $h$ States As Arbiters of Exoticity
• Searching for charmoniumlike states with hidden $s\bar{s}$
• Search for $X(3872)$ and $X(3915)$ decay into ${\chi }_{c1}{\pi }^0$ in $B$ decays at Belle
• Charmonium spectrum with a Dirac potential model in the momentum space
• Can X(3915) be the tensor partner of the X(3872)?
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• On the nature of X(3960)
• Status and Prospects of Exotic Hadrons at Belle II
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• Comment on the X(3915) nonstandard hadron candidate
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• LQCD: Flavor Physics and Spectroscopy
• Charmonium resonances on the lattice
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• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$
• Threshold effects in hadron spectrum: a new spectroscopy?
• Analysis of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi D}\bar{\mathbf{D}}$ reaction close to the threshold concerning claims of a ${\chi }_{c0}(2P)$ state
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle
• First measurement of the Q^2 distribution of X(3915) single-tag two-photon production
• Exotic hadrons associated with $b$-quark