$D\bar{D}$ production and their interactions

Abstract

S and P wave $D\bar{D}$ scatterings are studied in a meson exchange model with the coupling constants obtained in the heavy quark effective theory. With the extracted P wave phase shifts and the separable potential approximation, we include the $D\bar{D}$ rescattering effect and investigate the production process $e^{+}{e}^{-}\to D\bar{D}$. We find that it is difficult to explain the anomalous line shape observed by the BES collaboration with this mechanism. Combining our model calculation and the experimental measurement, we estimate the upper limit of the nearly universal cutoff parameter to be 1.7 GeV. With this number, the upper limits of the binding energies of the S wave $D\bar{D}$ and $B\bar{B}$ bound states are obtained. Assuming that the S wave and P wave interactions rely on the same cutoff, our study provides a way of extracting the information about S wave molecular bound states from the P wave meson pair production.

22 pages, 14 figures, 5 tables, publication version

References in corpus (32)

• Charmonium
• Dynamically Generated Open and Hidden Charm Meson Systems
• Higher Charmonia and X,Y,Z states with Screened Potential
• The Exotic XYZ Charmonium-like Mesons
• X(3872) and Other Possible Heavy Molecular States
• Is X(3872) {\sl Really} a Molecular State?
• New Hadron States
• Y(4143) is probably a molecular partner of Y(3930)
• Coupled-Channel and Screening Effects in Charmonium Spectrum
• Is Z^+(4430) a loosely bound molecular state?
• X(3915) and X(4350) as new members in P-wave charmonium family
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• X(3872) in lattice QCD with exact chiral symmetry
• On the scattering of D and D* mesons off the X(3872)
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• The lineshape of $\psi (3770)$ and low-lying vector charmonium resonance parameters in $e^{+}{e}^{-}\to D\bar{D}$
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
• Study of the branching ratio of $\psi (3770)\to D\bar{D}$ in $e^{+}{e}^{-}\to D\bar{D}$ scattering
• Spectroscopy of Mesons with Heavy Quarks
• Diresonance in production and scattering of heavy mesons
• The Vector Meson And Heavy Meson Strong Interaction
• The continuum and interference effect in $e^{+}{e}^{-}\to D^0{\bar{D}}^0,D^{+}{D}^{-}$ processes
• S-wave DK interactions in the chiral SU(3) quark model

Cited by in corpus (22)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• ${\Lambda }_{c}N$ bound states revisited
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Hidden-Charm Tetraquarks and Charged Zc States
• Prediction of a $Z_c(4000)$ $D^{\ast }{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(4025)$
• Production of charmed pseudoscalar mesons in antiproton-proton annihilation
• Photoproduction of the charged charmoniumlike $Z_c^{+}(4200)$
• $P$-wave coupled channel effects in electron-positron annihilation
• Reanalysis of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ reaction and the claim for the $Z_c(4025)$ resonance
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states
• The $\sigma$ and $\rho$ coupling constants for the charmed and beauty mesons
• Possible $D\bar{D}$ and $B\bar{B}$ Molecular states in a chiral quark model
• Is $J^{PC}=3^{-+}$ molecule possible?
• The $\psi$(3770) resonance and its production in $\bar{p}p\to D\bar{D}$
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson
• Recent Developments on Hadron Interaction and Dynamically Generated Resonances
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints