The lowest hidden charmed tetraquark state from QCD sum rules

TL;DR

This paper uses QCD sum rules to identify the lowest mass hidden charmed tetraquark state and predicts its decay properties, providing theoretical insights for future experimental verification.

Contribution

It presents a detailed QCD sum rule calculation of the lowest hidden charmed tetraquark mass and decay widths, incorporating vacuum condensates up to dimension-10.

Findings

Mass of the tetraquark: 3.82 GeV

Total decay width: approximately 21 MeV

Predictions ready for experimental testing at BESIII, LHCb, and Belle-II

Abstract

In this article, we study the $S\bar{S}$ type scalar tetraquark state $cq\bar{c}\bar{q}$ in details with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and obtain the value $M_{Z_c}=\left(3.82^{+0.08}_{-0.08}\right)\,\rm{GeV}$, which is the lowest mass for the hidden charmed tetraquark states from the QCD sum rules. Furthermore, we calculate the hadronic coupling constants $G_{Z_c\eta_c\pi}$ and $G_{Z_cDD}$ with the three-point QCD sum rules, then study the strong decays $ Z_c\to \eta_c\pi\, ,\, DD$, and observe that the total width $\Gamma_{Z_c}\approx 21\,\rm{MeV}$. The present predictions can be confronted with the experimental data in the futures at the BESIII, LHCb and Belle-II.