Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision

Abstract

In this work, a study of possible molecular states from the ${\Lambda }_c{\bar{\Lambda }}_c$ interaction and their productions in nucleon-antinucleon collision is performed in a quasipotential Bethe-Salpeter equation approach. Two bound states with quantum numbers $J^{PC}=0^{-+}$ and $1^{--}$ are produced with almost the same binding energy from the ${\Lambda }_c{\bar{\Lambda }}_c$ interaction which is described by the light meson exchanges. However, the result does not support the assignment of experimentally observed $Y(4630)$ as a ${\Lambda }_c{\bar{\Lambda }}_c$ molecular state because it is hard to obtain a peak near experimental mass of the $Y(4630)$ which is far above the ${\Lambda }_c{\bar{\Lambda }}_c$ threshold. The possibility to search these states in nucleon-antinucleon collision is studied by including couplings to $N\bar{N}$ and $D^{(\ast )}{\bar{D}}^{(\ast )}$ channels. The peaks can be found obviously near the ${\Lambda }_c{\bar{\Lambda }}_c$ threshold in the $D^{\ast }{\bar{D}}^{\ast }$ channel at an order of amplitude of 10 $\mu$b. Too small width of state with $0^{-+}$ may lead to the difficulty to be observed in experiment. Based on the results in the current work, search for the ${\Lambda }_c{\bar{\Lambda }}_c$ molecular state with $1^{--}$ is suggested in process $N\bar{N}\to D^{\ast }{\bar{D}}^{\ast }$, which is accessible at $\bar{\mathrm{P}}\mathrm{ANDA}$.

4 pages, 4 figures

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• Production and decay of polarized hyperon-antihyperon pairs
• $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$ cross sections and the ${\Lambda }_c^{+}$ electromagnetic form factors within the extended vector meson dominance model
• The Production of Singly Charmed Pentaquark $\bar{c}qqqq$ from Bottom Baryon