Analysis of the X(4350) as a scalar $\bar{c}c$ and ${D}_s^\ast {\bar {D}}_s^\ast$ mixing state with QCD sum rules

TL;DR

This paper investigates the X(4350) particle as a scalar mixing state of charmonium and D_s* D_s* using QCD sum rules, finding results consistent with experimental data.

Contribution

It introduces a novel QCD sum rule analysis of X(4350) as a scalar $ar{c}c$ and ${D}_s^ ext{*} {ar {D}}_s^ ext{*}$ mixing state, providing mass predictions matching observations.

Findings

Mass of X(4350) estimated at (4.37 ± 0.15) GeV

Supports the interpretation of X(4350) as a scalar mixing state

Other tetraquark possibilities are not ruled out.

Abstract

In this article, we assume that the narrow structure X(4350) is a scalar $\bar{c}c-{D}_s^\ast {\bar {D}}_s^\ast$ mixing state, and study its mass using the QCD sum rules. The numerical result $M_X=(4.37\pm0.15)\,\rm{GeV}$ is in good agreement with the experimental data, the X(4350) may be a scalar $\bar{c}c-{D}_s^\ast {\bar {D}}_s^\ast$ mixing state. Other possibility, such as a scalar (tensor) $cs\bar{c}\bar{s}$ tetraquark state is not excluded.