Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?

Abstract

In this work, we have investigated whether Y(4260) and ${\mathrm{Z}}_2^{+}(4250)$ could be ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecules in the framework of meson exchange model. The off-diagonal interaction induced by $\pi$ exchange plays a dominant role. The $\sigma$ exchange has been taken into account, which leads to diagonal interaction. The contribution of $\sigma$ exchange is not favorable to the formation of molecular state $\mathrm{with}{\mathrm{I}}^{\mathrm{G}}({\mathrm{J}}^{\mathrm{PC}})=0^{-}(1^{--})$, however, it is beneficial to the binding of molecule $\mathrm{with}{\mathrm{I}}^{\mathrm{G}}({\mathrm{J}}^{\mathrm{P}})=1^{-}(1^{-})$. Light vector meson exchange leads to diagonal interaction as well. For ${\mathrm{Z}}_2^{+}(4250)$, the contribution from $\rho$ and $\omega$ exchange almost cancels each other. For the currently allowed values of the effective coupling constants and a reasonable cutoff $\Lambda$ in the range 1-2 GeV, We find that Y(4260) could be accommodated as a ${\mathrm{D}}_1\mathrm{D}$ and ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecule, whereas the interpretation of ${\mathrm{Z}}_2^{+}(4250)$ as a ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ molecule is disfavored. The bottom analog of Y(4260) and ${\mathrm{Z}}_2^{+}(4250)$ may exist, and the most promising channels to discovery them are ${\pi }^{+}{\pi }^{-}{\rm Y}$ and ${\pi }^{+}{\chi }_{b1}$ respectively.

21 pages, 3 figures and 7 tables

References in corpus (12)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• Is Z^+(4430) a loosely bound molecular state?
• $Z^{+}(4430)$ as a $D_1^{\prime }{D}^{\ast }$ ($D_1{D}^{\ast }$) molecular state
• Canonical Charmonium Interpretation for Y(4360) and Y(4660)
• Threshold effect and π^\pm ψ(2S) peak
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Width of exotics from QCD sum rules : tetraquarks or molecules?

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