Quarkonium Contribution to Meson Molecules

Abstract

Starting from a molecular picture for the X(3872) resonance, this state and its J^{PC}=2++ HQSS partner [X2(4012)] are analyzed within a model which incorporates possible mixings with 2P charmonium states. Since it is reasonable to expect the bare chi_{c1}(2P) to be located above the D\bar D* threshold, but relatively close to it, the presence of the charmonium state provides an effective attraction that will contribute to bind the X(3872), but it will not appear in the 2++ sector. Indeed in this latter sector, the chi_{c2}(2P) should provide an effective small repulsion, because it is placed well below the D*\bar D* threshold. We show how the 1++ and 2++ bare charmonium poles are modified due to the D(*)\bar D(*) loop effects, and the first one is moved to the complex plane. The meson loops produce, besides some shifts in the masses of the charmonia, a finite width for the 1++ dressed charmonium state. On the other hand, the X(3872) and X2(4012) start developing some charmonium content, which is estimated by means of the compositeness Weinberg sum-rule. We also show that for X(3872) molecular probabilities of around 70-90 %, the X2 resonance destabilizes and disappears from the spectrum, becoming either a virtual state or being located deep into the complex plane, with decreasing influence in the D* \bar D* scattering line.

46 pages, 5 figures; Accepted in EPJC

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• Coupled-channel approach in hadron-hadron scattering
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• Hunting for states in the recent LHCb di-$J/\psi$ invariant mass spectrum
• Heavy Baryon-Antibaryon Molecules in Effective Field Theory
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Heavy-hadron molecules from light-meson-exchange saturation
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• On the nature of the lowest-lying odd parity charmed baryon ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$ resonances
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• $X(3872)$, $X(4014)$, and their bottom partners at finite temperature
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• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
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• Can X(3915) be the tensor partner of the X(3872)?
• Probing the nature of the ${\chi }_{c1}(3872)$ state using radiative decays
• Light Cone Distribution Amplitudes of Excited P-Wave Heavy Quarkonia at the Leading Twist
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
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• Do near-threshold molecular states mix with neighbouring $\bar{Q}Q$ states?
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• The role of electromagnetic interaction in the $X(3872)$ and its analogs
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• Mass Spectrum of Exotic X(5568) State via Artificial Neural Network
• Probing the structure of $X(3872)$ in photoproduction
• On the precise measurement of the $X(3872)$ mass and its counting rate
• Triple-X and beyond: hadronic systems of three and more X(3872)
• ${\chi }_{c1}(2p)$: an overshadowed charmoniumlike resonance
• Theory Concepts for Heavy Exotic Mesons
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• Heavy mesons in the Quark Model
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• The effects of charmonium on the properties of the $1^{++}$ hidden charm poles in effective field theory
• Hadronic molecules and multiquark states
• Exotic hadrons associated with $b$-quark