Relating $D^{\ast }{\bar{D}}^{\ast }$ currents with $J^{\pi }=0^{+},1^{+}$ and $2^{+}$ to $Z_c$ states

Abstract

In this work we study the $D^{\ast }{\bar{D}}^{\ast }$ current with QCD sum rules. We write the correlation function using the general current corresponding to the $D^{\ast }{\bar{D}}^{\ast }$ system and then use spin projectors to obtain the correlation function in the $0^{+},1^{+}$ and $2^{+}$ spin-parity configurations. The purpose of the present work is to investigate the possibility of explaining the recently reported $Z_c(4025)$ as a $D^{\ast }{\bar{D}}^{\ast }$ moleculelike state. As a result we find a state for each spin case with a very similar mass: $M^{S=0}=\left(3943\pm 104\right)$ MeV, $M^{S=1}=\left(3950\pm 105\right)$ MeV, $M^{S=2}=\left(3946\pm 104\right)$ MeV. We discuss that our mass results, within error bars, for $1^{+}$ or $2^{+}$ are both compatible with $Z_c(4025)$. However, our results are also compatible with a possible $D^{\ast }{\bar{D}}^{\ast }$ bound state, in agreement with predictions of some previous works. We have also calculated the current-state coupling which turns out to be larger in the $2^{+}$ case.

New discussions added, corrections related to Z_c(4020) made

References in corpus (10)

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Cited by in corpus (21)

• The hidden-charm pentaquark and tetraquark states
• Weak decays of heavy hadrons into dynamically generated resonances
• Reanalysis of the $Y(3940)$, $Y(4140)$, $Z_c(4020)$, $Z_c(4025)$ and $Z_b(10650)$ as molecular states with QCD sum rules
• Analysis of the $Z_c(4020)$, $Z_c(4025)$, $Y(4360)$ and $Y(4660)$ as vector tetraquark states with QCD sum rules
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Hadronic molecules in B decays
• $0^{+}$ fully-charmed tetraquark states
• Prediction of a $Z_c(4000)$ $D^{\ast }{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(4025)$
• Systematic study of $Z_c^{+}$ family from quark model's perspective
• Hidden charmed states and multibody color flux-tube dynamics
• The strong decay patterns of $Z_c$ and $Z_b$ states in the relativized quark model
• Revisiting $D_{s0}^{\ast }(2317)$ as a $0^{+}$ tetraquark state from QCD sum rules
• $J/\psi$ regeneration in a hadron gas: an update
• ${\rm Y}$ suppression in a hadron gas
• Understanding the ${\eta }_c\rho$ decay mode of $Z_c^{(\prime )}$ via the triangle loop mechanism
• Mass spectra for the $cc\bar{b}\bar{b}$/$bb\bar{c}\bar{c}$ tetraquark states
• Understanding close-lying exotic charmonia states within QCD sum rules
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• Analysis of the tetraquark and hexaquark molecular states with the QCD sum rules
• X, Y and Z States
• Study of the $D^{\ast }\rho$ system using QCD sum rules