The lineshape of $\psi (3770)$ and low-lying vector charmonium resonance parameters in $e^{+}{e}^{-}\to D\bar{D}$

Abstract

We investigate the $D\bar{D}$ production in $e^{+}{e}^{-}$ annihilations near threshold in an effective Lagrangian approach. This shows that the lineshape of the cross section near threshold is sensitive to the contributions from ${\psi }^{\prime }$, though it is below the $D\bar{D}$ threshold. The recent experimental data from the BES and Belle collaborations allow us to determine the ${\psi }^{\prime }D\bar{D}$ coupling constant which appears to be consistent with other theoretical studies. As a consequence, the ${\psi }^{\prime }$-$\psi (3770)$ mixing parameter can be extracted around the $\psi (3770)$ mass region. Resonance parameters for $\psi (3770)$, X(3900), $\psi (4040)$, and $\psi (4160)$ are also investigated. The X(3900) appears as an enhancement at around 3.9 GeV in the Belle data. In addition to treating it as a resonance, we also study the mechanism that the enhancement is produced by the $D\overline{D^{\ast }}+c.c.$ open channel effects. Our result shows that such a possibility cannot be eliminated.

The form factor parameter is refitted. Final version published in Phys. Rev. D

References in corpus (10)

• Quarkonia and their transitions
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• 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 $\psi (3770)$
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Isospin violation in $\varphi ,J/\psi ,{\psi }^{\prime }\to \omega {\pi }^0$ via hadronic loops
• Study of the branching ratio of $\psi (3770)\to D\bar{D}$ in $e^{+}{e}^{-}\to D\bar{D}$ scattering
• Possible contributions to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ due to intermediate meson rescatterings
• The continuum and interference effect in $e^{+}{e}^{-}\to D^0{\bar{D}}^0,D^{+}{D}^{-}$ processes

Cited by in corpus (26)

• ${\Lambda }_{c}N$ bound states revisited
• Molecular structures in charmonium spectrum: The $XYZ$ puzzle
• Strong decays of higher charmonium states into open-charm meson pairs
• Measurement of ψ(3770) parameters
• Exclusive open-charm near-threshold cross sections in a coupled-channel approach
• $D\bar{D}$ production and their interactions
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Open charm effects in $e^{+}{e}^{-}\to J/\psi \eta$, $J/\psi {\pi }^0$ and $\varphi {\eta }_c$
• Line-shape and poles of the $\psi (3770)$
• Line shape of ψ(3770) in e^+e^-\to D\bar D
• Precise Measurement of Born Cross Sections for $e^{+}{e}^{-}\to D\bar{D}$ at $\sqrt{s}=3.80-4.95$ GeV
• Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Lineshape of $e^{+}{e}^{-}\to D^{\ast }\bar{D}+c.c.$ and electromagnetic form factor of $D^{\ast }\to D$ transition in the time-like region
• $\bar{p}p$ annihilation into $\bar{D}D$ meson pair within an effective Lagrangian model
• Open charm contributions to the E1 transitions of $\psi (3686)$ and $\psi (3770)\to \gamma {\chi }_{cJ}$
• Reaction $e^{+}{e}^{-}\to \bar{D}D$ and ${\psi }^{\prime }$ mesons
• Line shape and $D^{(\ast )}{\bar{D}}^{(\ast )}$ probabilities of $\psi (3770)$ from the $e^{+}{e}^{-}\to D\bar{D}$ reaction
• The $\psi$(3770) resonance and its production in $\bar{p}p\to D\bar{D}$
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state
• $\mathcal{R}(3780)$ Resonance Interpreted as the $1^3{D}_1$-Wave Dominant State of Charmonium from Precise Measurements of the Cross Section of $e^{+}{e}^{-}\to$ Hadrons
• Measurements of charmonia decays from BESIII
• Combined heavy-quark symmetry and large-$N_c$ operator analysis for 2-body counterterms in the chiral Lagrangian with $D$ mesons and charmed baryons
• Open charm scenarios