Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state

Abstract

The femtoscopic $D\bar{D}$ correlations correlation functions are investigated to predict the signature of the not-yet-established $X(3700)$ state. Here it is interpreted as a bound state generated by solving the coupled-channel Bethe-Salpeter equations with the local hidden-gauge formalism. We prospect how the relevant properties and observables characterizing this state -- like the pole position, scattering lengths and compositeness -- might be affected by the variation of the parameters of the model. The amplitudes are then used as input into the momentum correlation functions of the $D^0{\bar{D}}^0$ and $D^{+}{D}^{-}$ pairs. We discuss how their behaviors encode the features of the $X(3700)$ state.

20 pages, 5 figures, 2 tables; Version published in Phys. Rev. D

References in corpus (30)

• An updated review of the new hadron states
• Dynamically Generated Open and Hidden Charm Meson Systems
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Study of the strong interaction among hadrons with correlations at the LHC
• Experimental evidence for an attractive p-$\varphi$ interaction
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• First study of the two-body scattering involving charm hadrons
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• Study of the $DK$ interaction with femtoscopic correlation functions
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Constraining the $\overline{\mathrm{K}}\mathrm{N}$ coupled channel dynamics using femtoscopic correlations at the LHC
• Femtoscopic signatures of the lightest S-wave scalar open-charm mesons
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Accessing the strong interaction between $\Lambda$ baryons and charged kaons with the femtoscopy technique at the LHC
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Studying the interaction between charm and light-flavor mesons
• Indication of a p-$\varphi$ bound state from a correlation function analysis
• First measurement of the $\Lambda$-$\Xi$ interaction in proton-proton collisions at the LHC
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons
• Investigation of K${}^{+}$K${}^{-}$ interactions via femtoscopy in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV at the LHC
• p--$\varphi$ femtoscopic correlation analysis using a dynamical model