X(3872) as a hybrid state of the charmonium and the hadronic molecule

Abstract

In order to understand the structure of the X(3872), the $c\bar{c}$ charmonium core state coupling to the $D^0{\bar{D}}^{\ast 0}$ and $D^{+}{D}^{\ast -}$ molecular states are studied. The strengths of the couplings between the charmonium state and the hadronic molecular states are determined so as to reproduce the observed mass of the the X(3872). The isospin symmetry breaking is introduced by the mass differences of the neutral and charged $D$ mesons. The obtained structure of the X(3872) is that about 7% is $\ccbar$ charmonium, 75% is the isoscalar $D{\bar{D}}^{\ast }$ molecule and 18% is the isovector $D{\bar{D}}^{\ast }$ molecule, which explains observed properties of the X(3872) well. The structure of the X(3872) we have obtained is not just a $D^0{\bar{D}}^{ast0}$ hadronic molecule nor the compact tetraquark state but the charmonium-hadronic molecule hybrid state.

18 pages, 9 figures

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Cited by in corpus (35)

• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Stable double-heavy tetraquarks: spectrum and structure
• Quarkonium Contribution to Meson Molecules
• Hidden-charm and bottom meson-baryon molecules coupled with five-quark states
• X(3872) is not a true molecule
• QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar{D}{D}^{\ast }$ Molecular Currents
• Measurements of the absolute branching fractions of $B^{+}\to X_{c\bar{c}}{K}^{+}$ and $B^{+}\to {\bar{D}}^{(\ast )0}{\pi }^{+}$ at Belle
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme
• X(3872): propagating in a dense medium
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Study of the lineshape of $X(3872)$ using $B$ decays to $D^0\overline{D}{}^{\ast 0}K$
• Decays of $X(3872)$ to ${\chi }_{cJ}{\pi }^0$ and $J/\psi {\pi }^{+}{\pi }^{-}$
• Charmonium spectrum with a Dirac potential model in the momentum space
• The nature of ${\chi }_{c1}\left(3872\right)$ and $T_{cc}^{+}\left(3875\right)$
• Light Cone Distribution Amplitudes of Excited P-Wave Heavy Quarkonia at the Leading Twist
• Do near-threshold molecular states mix with neighbouring $\bar{Q}Q$ states?
• Radiative decay of the $X(3872)$ as a mixed molecule-charmonium state in effective field theory
• Relativistic Friedrichs-Lee model and quark-pair creation model
• Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons
• Search for the decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}{\chi }_{c1}$
• Radiative Decays of the $X(3872)$ in the Charmonium-Molecule Hybrid Picture
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• X(3872) revisited: the roles of OPEP and the quark degrees of freedom
• Search for the light hadron decay ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}\eta$
• Structure of exotic hadrons by a weak-binding relation with finite-range correction
• Search for the decays $X(3872)\to K_S^0{K}^{\pm }{\pi }^{\mp }$ and $K^{\ast }(892)\bar{K}$ at BESIII
• Compositness and wave function of shallow bound states in relation to scattering observables
• Search for the $e^{+}{e}^{-}\to \varphi {\chi }_{c1}(3872)$ process at BESIII
• Unquenched Meson Spectroscopy
• Decays of double charmed meson molecules