Search for $J^{PC}=1^{-+}$ exotic state in $e^{+}{e}^{-}$ annihilation

Abstract

The charmed meson pair $(\frac{3}{2}{)}^{+}$ and anti-$(\frac{1}{2}{)}^{-}$, i.e. $D_1(2420)\bar{D}+c.c.$, $D_1(2420){\bar{D}}^{\ast }+c.c.$, $D_2(2460){\bar{D}}^{\ast }+c.c.$, can couple to states with vector quantum number $J^{PC}=1^{--}$ and exotic quantum number $J^{PC}=1^{-+}$ in a relative $S$ wave. Near threshold, the charmed meson pair may form hadronic molecules due to the strong $S$-wave coupling, and the mysterious vector state $Y(4260)$ could be such a state of the $D_1(2420)\bar{D}+c.c.$ molecule. This implies the possible existence of its exotic partner made of the same charmed mesons but with $J^{PC}=1^{-+}$. We evaluate the production rate of such exotic hadronic molecules and propose a direct experimental search for them in $e^{+}{e}^{-}$ annihilation. The confirmation of such exotic states in experiment will shed light on the spectrum in the heavy quark sector.

5 pages, 3 figures

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Cited by in corpus (8)

• Hadronic molecules
• Employing spin symmetry to disentangle different models for the XYZ states
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Probing the $XYZ$ states through radiative decays
• Hunting for the $X_b$ via hidden bottomonium decays
• $P$-wave coupled channel effects in electron-positron annihilation
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• Production of $1^{-+}$ exotic charmonium-like states in electron-positron collisions