$X(3872)$, $X(4014)$, and their bottom partners at finite temperature

Abstract

The properties of the $X(3872)$ and its spin partner, the $X(4014)$, are studied both in vacuum and at finite temperature. Using an effective hadron theory based on the hidden-gauge Lagrangian, the $X(3872)$ is dynamically generated from the $s$-wave rescattering of a pair of pseudoscalar and vector charm mesons. By incorporating the thermal spectral functions of open charm mesons, the calculation is extended to finite temperature. Similarly, the properties of the $X(4014)$ are obtained out of the scattering of charm vector mesons. By applying heavy-quark flavor symmetry, the properties of their bottom counterparts in the axial-vector and tensor channels are also predicted. All the dynamically generated states show a decreasing mass and acquire an increasing decay width with temperature, following the trend observed in their meson constituents. These results are relevant in relativistic heavy-ion collisions at high energies, in analyses of the collective medium formed after hadronization or in femtoscopic studies, and can be tested in lattice-QCD calculations exploring the melting of heavy mesons at finite temperature.

32 pages, 7 figures, 3 tables

References in corpus (27)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Hadro-Charmonium
• Can the X(3872) be a 1^{++} four-quark state?
• Four-Quark Hadrons: an Updated Review
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Is X(3872) a molecule?
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• Axial Resonances in the Open and Hidden Charm Sectors
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Multi-quark hadrons from Heavy Ion Collisions
• Isospin breaking effects in the X(3872) resonance
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
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• On $X(3872)$ production in high energy heavy ion collisions
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• Observation of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\chi }_{bJ}$ and search for $X_b\to \omega {\rm Y}(1S)$ at $\sqrt{s}\sim 10.867$ GeV
• "Smashing more than two": Deuteron production in relativistic heavy ion collisions via stochastic multi-particle reactions
• Production of $X(3872)$ at High Multiplicity
• Scalar, axial-vector and tensor resonances from the rho D^*, omega D^* interaction in the hidden gauge formalism
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• Search for the $X_b$ and other hidden-beauty states in the ${\pi }^{+}{\pi }^{-}{\rm Y}(1\mathrm{S})$ channel at ATLAS
• Solving the puzzle of high temperature light (anti)-nuclei production in ultra-relativistic heavy ion collisions
• The study of $\gamma \gamma \to \gamma \psi (2S)$ at Belle
• $D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter
• The possibility of $X(4014)$ as a $D^{\ast }{\bar{D}}^{\ast }$ molecular state

Cited by in corpus (5)

• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
• Formation, dissociation and regeneration of charmonia within microscopic Langevin simulations
• Probing the structure of $X(3872)$ in photoproduction
• $Z_c(3900)$ in a hadronic molecule and a triangle singularity approach at finite temperature
• Revealing dipion correlations for the observed substructure near the ${\pi }^{+}{\pi }^{-}$ mass threshold in $\psi (3686)\to J/\psi {\pi }^{+}{\pi }^{-}$