Is $J^{PC}=3^{-+}$ molecule possible?

Abstract

The confirmation of charged charmonium-like states indiates that heavy quark molecules should exist. We here discuss the possibility of a molecule state with $J^{PC}=3^{-+}$. In a one-boson-exchange model investigation for the S wave $C=+$ $D^{\ast }{\bar{D}}_2^{\ast }$ states, one finds that the strongest attraction is in the case $J=3$ and $I=0$ for both $\pi$ and $\sigma$ exchanges. Numerical analysis indicates that this hadronic bound state might exist if a phenomenological cutoff parameter around 2.3 GeV (1.5 GeV) is reasonable with a dipole (monopole) type form factor in the one-pion-exchange model. The cutoff for binding solutions may be reduced to a smaller value once the $\sigma$ exchange contribution is included. If a state around the $D^{\ast }{\bar{D}}_2^{\ast }$ threshold ($\approx$4472 MeV) in the channel $J/\psi \omega$ (P wave) is observed, the heavy quark spin symmetry implies that it is not a $c\bar{c}$ meson and the $J^{PC}$ are likely to be $3^{-+}$.

References in corpus (20)

• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Observation of the Charged Hadron $Z_c^{\pm }(3900)$ and Evidence for the Neutral $Z_c^0(3900)$ in $e^{+}{e}^{-}\to \pi \pi J/\psi$ at $\sqrt{s}=4170$ MeV
• Observation of a charged (DD*bar)- mass peak in e+e- --> pi+ (DD*bar)- at Ecm=4.26 GeV
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• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Is Z^+(4430) a loosely bound molecular state?
• Charmless Hadronic B Decays into a Tensor Meson
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Heavy quark spin selection rules in meson-antimeson states
• Possible heavy molecular states composed of a pair of excited charm-strange mesons
• The charge conjugation quantum number in multiquark systems

Cited by in corpus (7)

• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Predictions of the hidden-charm molecular states with four-quark component
• Highly excited and exotic fully-strange tetraquark states
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Light tetraquark states with the exotic quantum number $J^{PC}=3^{-+}$