Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze ground and excited tensor-tensor scalar hidden-charm tetraquark states, providing mass predictions that can be tested experimentally.

Contribution

It unambiguously separates ground and first radial excited states in QCD sum rule calculations for tensor-tensor scalar tetraquarks, offering detailed mass estimates.

Findings

Mass predictions for ground states

Mass predictions for first radial excited states

Method for separating state contributions

Abstract

In this article, we study the ground states and the first radial excited states of the tensor-tensor type scalar hidden-charm tetraquark states with the QCD sum rules. We separate the ground state contributions from the first radial excited state contributions unambiguously, and obtain the QCD sum rules for the ground states and the first radial excited states, respectively. Then we search for the Borel parameters and continuum threshold parameters according to four criteria and obtain the masses of the tensor-tensor type scalar hidden-charm tetraquark states, which can be confronted to the experimental data in the future.