Reanalysis of the $X(4140)$ as axialvector tetraquark state with QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the $X(4140)$ as a potential axialvector tetraquark state, finding results that challenge this interpretation and providing mass predictions for related states.

Contribution

It offers a detailed reanalysis of the $X(4140)$ as a $csar{c}ar{s}$ tetraquark using QCD sum rules, with new mass estimates that question its tetraquark assignment.

Findings

The $X(4140)$ is unlikely to be a $J^{PC}=1^{++}$ tetraquark.

Predicted masses for $J^{PC}=1^{+-}$ tetraquark states.

Results can be tested against future experimental data.

Abstract

In this article, we take the $X(4140)$ as the diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark state with $J^{PC}=1^{++}$, and study the mass and pole residue with the QCD sum rules in details by constructing two types interpolating currents. The numerical results $M_{X_{L,+}}=3.95\pm0.09\,\rm{GeV}$ and $M_{X_{H,+}}=5.00\pm0.10\,\rm{GeV}$ disfavor assigning the $X(4140)$ to be the $J^{PC}=1^{++}$ diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark state. Moreover, we obtain the masses of the $J^{PC}=1^{+-}$ diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark states as a byproduct. The present predictions can be confronted to the experimental data in the future.