Study of the anomalous cross-section lineshape of e^+e^-\to D\bar D at ψ(3770) with an effective field theory

Abstract

We study the anomalous cross-section lineshape of $e^{+}{e}^{-}\to D\bar{D}$ with an effective field theory. Near the threshold, most of the $D\bar{D}$ pairs are from the decay of $\psi (3770)$. Taking into account the fact that the nonresonance background is dominated by the $\psi (2S)$ transition, the produced $D\bar{D}$ pair can undergo final-state interactions before the pair is detected. We propose an effective field theory for the low-energy $D\bar{D}$ interactions to describe these final-state interactions and find that the anomalous lineshape of the $D\bar{D}$ cross section observed by the BESII collaboration can be well described.

10 pages,6 figures, redo the calculation with PDS scheme and more discussions added, accepted by Phys.Lett.B

References in corpus (10)

• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• 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 $\psi (3770)$
• On the strong energy dependence of the e^+e^- to ppbar amplitude near threshold
• QCD prediction for the non-$D\bar{D}$ annihilation decay of $\psi (3770)$
• Measurement of ψ(3770) parameters
• Isospin violation in $\varphi ,J/\psi ,{\psi }^{\prime }\to \omega {\pi }^0$ via hadronic loops
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory

Cited by in corpus (14)

• Hadronic molecules
• Strong decays of higher charmonium states into open-charm meson pairs
• A Refined Analysis on the $X(3872)$ Resonance
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Line-shape and poles of the $\psi (3770)$
• $P$-wave coupled channel effects in electron-positron annihilation
• Open charm contributions to the E1 transitions of $\psi (3686)$ and $\psi (3770)\to \gamma {\chi }_{cJ}$
• $\bar{p}p$ annihilation into $\bar{D}D$ meson pair within an effective Lagrangian model
• Analysis of BaBar, Belle, BES-II, CLEO and KEDR data on $\psi (3770)$ line shape and determination of the resonance parameters
• The $\psi$(3770) resonance and its production in $\bar{p}p\to D\bar{D}$
• Line shape and $D^{(\ast )}{\bar{D}}^{(\ast )}$ probabilities of $\psi (3770)$ from the $e^{+}{e}^{-}\to D\bar{D}$ reaction
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state