Lattice study on ${\eta }_{c2}$ and X(3872)

Abstract

Properties of $2^{-+}$ charmonium ${\eta }_{c2}$ are investigated in quenched lattice QCD. The mass of ${\eta }_{c2}$ is determined to be 3.80(3) GeV, which is close to the mass of $D$-wave charmonium $\psi (3770)$ and in agreement with quark model predictions. The transition width of ${\eta }_{c2}\to \gamma J/\psi$ is also obtained with a value $\Gamma =3.8(9)$ keV. Since the possible $2^{-+}$ assignment to X(3872) has not been ruled out by experiments, our results help to clarify the nature of X(3872).

15 pages, 8 figures. typos, grammatical errors and some references corrected, redundant discussions deleted, conclusion does not change. published version

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• Interference and binding effects in decays of possible molecular component of X(3872)
• Efficient glueball simulations on anisotropic lattices
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• Evidence for the decay X(3872) --> J/psi omega
• Evidence for X(3872) --> psi(2S) gamma in B+/- --> X(3872) K+/- decays, and a study of B --> ccbar gamma K
• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Radiative Transitions in Charmonium from Lattice QCD
• Observation of $X(3872)\to J/\psi \gamma$ and search for $X(3872)\to {\psi }^{\prime }\gamma$ in B decays
• Measurement of the Dipion Mass Spectrum in X(3872) -> J/Psi Pi+ Pi- Decays
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• What do the radiative decays of X(3872) tell us
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• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Finite volume corrections to the binding energy of the X(3872)
• Light quark mass dependence of the X(3872) in XEFT
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• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• Exotic vector charmonium and its leptonic decay width
• Lattice Study of Radiative $J/\psi$ Decay to a Tensor Glueball
• $1^{-+}$ Hybrid in $J/\psi$ Radiative Decays from Lattice QCD
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• $D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter
• Strangeonium-like hybrids on the lattice
• Radiative Decay Width of $J/\psi \to \gamma {\eta }_{(2)}$ from $N_f=2$ Lattice QCD
• Color halo scenario of charmonium-like hybrids
• Gluons in charmoniumlike states
• The radiative decay of scalar glueball from lattice QCD
• Mass spectra of mesons containing charm quarks - continuum limit results from twisted mass fermions
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$
• The charmonium-like exotic hadron productions in $e^{+}{e}^{-}$ collisions at the BESIII energy with the PACIAE model
• $\mathcal{O}({\alpha }_s)$ corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\chi }_{c1}^{\prime })$ at $B$ factories
• Recent results from Lattice QCD