Production of $D^{(\ast )}{\bar{D}}^{(\ast )}$ near the thresholds in $e^{+}{e}^{-}$ annihilation

Abstract

It is shown that the nontrivial energy dependencies of $D\bar{D}$, $D{\bar{D}}^{\ast }$, and $D^{\ast }{\bar{D}}^{\ast }$ pair production cross sections in $e^{+}{e}^{-}$ annihilation are well described within the approach based on account for the final-state interaction of produced particles. This statement is valid for production of charged and neutral particles. Interaction of $D^{(\ast )}$ and ${\bar{D}}^{(\ast )}$ is taken into account using the effective potential method. Its applicability is based on the fact that for near-threshold resonance the characteristic width of peak in the wave function is much larger than the interaction radius. The transition amplitudes between all three channels play an important role in the description of cross sections. These transitions are possible since all channels have the same quantum numbers $J^{PC}=1^{--}$.

5 pages, 2 figures

References in corpus (13)

• Observation of a near-threshold enhancement in the e+e- -->Lambda_c+Lambda_c- cross section using initial-state radiation
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Measurement of the proton form factor by studying $e^{+}{e}^{-}\to p\bar{p}$
• Study of the process $e^{+}{e}^{-}\to p\bar{p}$ via initial state radiation at BESIII
• Measurement of the Energy-Dependent Electromagnetic Form Factors of a Charmed Baryon
• K-matrix Analysis of $e^{+}{e}^{-}$ Annihilation in the Bottomonium Region
• Angular analysis of the $e^{+}{e}^{-}\to D^{(\ast )\pm }{D}^{\ast \mp }$ process near the open charm threshold using initial-state radiation
• $N\bar{N}$ production in $e^{+}{e}^{-}$ annihilation near the threshold revisited
• Observation of the Anomalous Shape of $X(1840)$ in $J/\psi \to \gamma 3({\pi }^{+}{\pi }^{-})$ Indicating a Second Resonance Near $p\bar{p}$ Threshold
• Cross section measurements of the $e^{+}{e}^{-}\to D^{\ast +}{D}^{\ast -}$ and $e^{+}{e}^{-}\to D^{\ast +}{D}^{-}$ processes at center-of-mass energies from 4.085 to 4.600 GeV
• Natural explanation of recent results on $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$
• Coupled channels and production of near-threshold $B^{(\ast )}{\bar{B}}^{(\ast )}$ resonances in $e^{+}{e}^{-}$ annihilation

Cited by in corpus (5)

• Precise Measurement of Born Cross Sections for $e^{+}{e}^{-}\to D\bar{D}$ at $\sqrt{s}=3.80-4.95$ GeV
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Charge asymmetry in $e^{+}{e}^{-}\to B^{(\ast )}{\bar{B}}^{(\ast )}$ processes in the vicinity of ${\rm Y}(4S)$
• Discovery of XYZ particles at the BESIII Experiment