Line-shape and poles of the $\psi (3770)$

Abstract

We study the non-Breit-Wigner line-shape of the $\psi (3770)$ resonance, predominantly a $1{}^3{D}_1$ $\bar{c}c$ state, using an unitarized effective Lagrangian approach, including the one-loop effects of the nearby thresholds $D^{+}{D}^{-}$ and $D^0{\bar{D}}^0$. A fit of the theoretical result to the total cross-section $e^{+}{e}^{-}\to D\bar{D}$ is performed, leading to a good description of data (${\chi }^2/d.o.f.\sim 1.03$). The partial cross sections $e^{+}{e}^{-}\to D^0{\bar{D}}^0$ and $e^{+}{e}^{-}\to D^{+}{D}^{-}$ turn out to be separately in good agreement with the experiment. We find a pole at $3777-i12$ MeV, that is within the Particle Data Group (PDG) mass and width estimation for this state. Quite remarkably, we find an additional, dynamically generated, companion pole at $3741-i19$ MeV, which is responsible for the deformation on the lower energy side of the line-shape. The width for the leptonic decay $\psi (3770)\to e^{+}{e}^{-}$ is 112 eV, hence smaller than the PDG fit of $262\pm 18$ eV, yet in agreement with a recent experimental study.

39 pages, 9 figures

References in corpus (16)

• Multiquark Resonances
• A low-lying scalar meson nonet in a unitarized meson model
• Charmonium excited state spectrum in lattice QCD
• 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)
• On the spectral functions of scalar mesons
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
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• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• Revising the $f_1(1420)$ resonance
• Strong and radiative decays of excited vector mesons and predictions for a new $\varphi (1930)$ resonance
• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• Study of e${}^{+}$e${}^{-}$ $\to \text{p}\overline{\text{p}}{\pi }^0$ in the Vicinity of the $\psi \text{(3770)}$
• The $\psi$(3770) resonance and its production in $\bar{p}p\to D\bar{D}$
• Formation and Deformation of the $\psi (3770)$
• The $R_{uds}$ value in the vicinity of $\psi (3770)$ state

Cited by in corpus (15)

• ${\rm Y}(nl)$ decay into $B^{(\ast )}{\bar{B}}^{(\ast )}$
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• A simple alternative to the Breit-Wigner distribution
• $X(3872)$ as virtual companion pole of the charm-anticharm state ${\chi }_{c1}(2P)$
• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• On the origin of the $Y(4260)$
• Line shape and $D^{(\ast )}{\bar{D}}^{(\ast )}$ probabilities of $\psi (3770)$ from the $e^{+}{e}^{-}\to D\bar{D}$ reaction
• Wave-Packet Effects: A Solution for Isospin Anomalies in Vector-Meson Decay
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• Resonance parameters of the vector charmoniumlike state $G(3900)$
• Radially excited $\psi$ mesons and the $Y$ enhancements
• Ballistic Lévy walk with rests: Escape from a bounded domain
• Study of conventional and non-conventional scalar and vector mesons
• Line-shape analysis of charmonium resonances
• Hadronic decay of vector charmonium from the lattice