Understanding close-lying exotic charmonia states within QCD sum rules

Abstract

Motivated by the experimental findings of some new exotic states decaying into channels like $J/\psi \varphi$, we investigate the formation of resonances/bound states in the $D_s^{\ast }{\bar{D}}_s^{\ast }$ system using QCD sum rules. To do this we start with a current of the type vector times vector and use spin projectors to separate the spin 0, 1 and 2 contributions to the correlation function. We find three states with isospin 0, nearly spin degenerate, with a mass around 4.1 GeV. We have also investigated the decay of these states to $J/\psi \varphi$ and provide the corresponding partial widths. Such information should be useful for experimental studies in future.

New calculations included on the widths of the states, published version

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Cited by in corpus (9)

• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
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• Revisiting $D_{s0}^{\ast }(2317)$ as a $0^{+}$ tetraquark state from QCD sum rules
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• Exploratory study of X(4140) in QCD sum rules
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions