Bound States of the Heavy Flavor Vector Mesons and Y(4008) and $Z_1^{+}(4050)$

Abstract

The $D^{\ast }{\bar{D}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ systems are studied dynamically in the one boson exchange model, where $\pi$, $\eta$, $\sigma$, $\rho$ and $\omega$ exchanges are taken into account. Ten allowed states with low spin parity are considered. We suggest that the $1^{--}$, $2^{++}$, $0^{++}$ and $0^{-+}$ $B^{\ast }{\bar{B}}^{\ast }$ molecules should exist, and the $D^{\ast }{\bar{D}}^{\ast }$ bound states with the same quantum numbers very likely exist as well. However, the CP exotic ($1^{-+}$, $2^{+-}$) $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states may not be bound by the one boson exchange potential. We find that the I=0 configuration is more deeply bound than the I=1 configuration, hence $Z_1^{+}(4050)$ may not be a $D^{\ast }{\bar{D}}^{\ast }$ molecule. Although Y(4008) is close to the $D^{\ast }{\bar{D}}^{\ast }$ threshold, the interpretation of Y(4008) as a $D^{\ast }{\bar{D}}^{\ast }$ molecule is not favored by its huge width. $1^{--}$ $D^{\ast }{\bar{D}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ states can be produced copiously in $e^{+}{e}^{-}$ annihilation, detailed scanning of the $e^{+}{e}^{-}$ annihilation data near the $D^{\ast }{\bar{D}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ threshold is an important check to our predictions.

17 pages,6 figure

References in corpus (10)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• The Exotic XYZ Charmonium-like Mesons
• X(3872) and Other Possible Heavy Molecular States
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) a molecule?
• Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
• Can the ${\pi }^{+}{\chi }_{c1}$ resonance structures be $D^{\ast }{\bar{D}}^{\ast }$ and $D_1\bar{D}$ molecules?
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
• Understanding the newly observed Y(4008) by Belle

Cited by in corpus (15)

• The hidden-charm pentaquark and tetraquark states
• New Charmonium States in QCD Sum Rules: a Concise Review
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• An overview of $XYZ$ new particles
• Possible Deuteron-like Molecular States Composed of Heavy Baryons
• Charged Exotic Charmonium States
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• The open-charm radiative and pionic decays of molecular charmonium Y(4274)
• Could $Z_c(4025)$ be a $J^P=1^{+}$ $D^{\ast }\overline{D^{\ast }}$ molecular state?
• $Z_b(10650)$ and $Z_b(10610)$ states in a chiral quark model
• The $Z_b$ structures in a constituent quark model coupled-channels calculation
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• Can the $\psi (4040)$ explain the peak associated with $Y(4008)$?
• Is $Y(4008)$ possibly a $1^{--}$ $\psi (3^3{S}_1)$ state?