Reaction $e^{+}{e}^{-}\to \bar{D}D$ and ${\psi }^{\prime }$ mesons

Abstract

We study the reaction $e^{+}{e}^{-}\to \bar{D}D$ near threshold in the ${}^3{P}_0$ non-relativistic quark model, including as intermediate states the $J/\psi$, $\psi (2S)$, $\psi (3770)$ and $\psi (4040)$ mesons. The work reveals that experimental data strongly favor one of the two $\psi (2S)-\psi (3770)$ mixing angles derived by fitting to the $e^{-}{e}^{+}$ partial decay widths of the $\psi (2S)$ and $\psi (3770)$ mesons. The meson $X(3940)$ as well as the resonance around 3.9 GeV observed by Belle and BaBar Collaborations in the reaction $e^{+}{e}^{-}\to \bar{D}D$ is unlikely to be a $c\bar{c}$ $I^G(J^{PC})=0^{-}(1^{--})$ state.

7 pages, 1 figure, accepted for publication in Physical Review D

References in corpus (5)

• Quarkonia and their transitions
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• The lineshape of $\psi (3770)$ and low-lying vector charmonium resonance parameters in $e^{+}{e}^{-}\to D\bar{D}$
• The process $\epem\to J/ ψX(3940)$ at $\sqrt{s}=10.6$ GeV in the framework of light cone formalism

Cited by in corpus (7)

• Exclusive open-charm near-threshold cross sections in a coupled-channel approach
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Mass spectrum of $1^{--}$ heavy quarkonium
• $\bar{p}p$ annihilation into $\bar{D}D$ meson pair within an effective Lagrangian model
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state
• Estimation of coupling constants for D-meson, charmed, and light baryons in effective Lagrangian approach and quark model
• Combined heavy-quark symmetry and large-$N_c$ operator analysis for 2-body counterterms in the chiral Lagrangian with $D$ mesons and charmed baryons