Analysis of the Y(4140) and related molecular states with QCD sum rules

Abstract

In this article, we assume that there exist scalar $D^{\ast }{\bar{D}}^{\ast }$, $D_s^{\ast }{\bar{D}}_s^{\ast }$, $B^{\ast }{\bar{B}}^{\ast }$ and $B_s^{\ast }{\bar{B}}_s^{\ast }$ molecular states, and study their masses using the QCD sum rules. The numerical results indicate that the masses are about $(250-500)\mathrm{MeV}$ above the corresponding $D^{\ast }-{\bar{D}}^{\ast }$, $D_s^{\ast }-{\bar{D}}_s^{\ast }$, $B^{\ast }-{\bar{B}}^{\ast }$ and $B_s^{\ast }-{\bar{B}}_s^{\ast }$ thresholds, the Y(4140) is unlikely a scalar $D_s^{\ast }{\bar{D}}_s^{\ast }$ molecular state. The scalar $D^{\ast }{\bar{D}}^{\ast }$, $D_s^{\ast }{\bar{D}}_s^{\ast }$, $B^{\ast }{\bar{B}}^{\ast }$ and $B_s^{\ast }{\bar{B}}_s^{\ast }$ molecular states maybe not exist, while the scalar ${D^{\prime }}^{\ast }{\overline{D^{\prime }}}^{\ast }$, ${D^{\prime }}_s^{\ast }{\overline{D^{\prime }}}_s^{\ast }$, ${B^{\prime }}^{\ast }{\overline{B^{\prime }}}^{\ast }$ and ${B^{\prime }}_s^{\ast }{\overline{B^{\prime }}}_s^{\ast }$ molecular states maybe exist.

19 pages, 36 figures, slight revision

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• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Mass spectrum of the axial-vector hidden charmed and hidden bottom tetraquark states
• Where are ${\chi }_{cJ}(3P)$?
• Reanalysis of the $X(4140)$ as axialvector tetraquark state with QCD sum rules
• Analysis of the scalar doubly charmed hexaquark state with QCD sum rules
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions