The magnetic moment of the $Z_c(3900)$ as an axialvector tetraquark state with QCD sum rules

TL;DR

This paper calculates the magnetic moment of the $Z_c(3900)$ tetraquark state using QCD sum rules, providing insights into its internal structure and electromagnetic properties.

Contribution

It introduces a method to compute the magnetic moment of the $Z_c(3900)$ as an axialvector tetraquark using QCD sum rules with operator product expansion up to dimension 8.

Findings

Magnetic moment of $Z_c(3900)$ estimated

Method applicable to other exotic particles

Enhanced understanding of tetraquark electromagnetic properties

Abstract

In this article, we assign the $Z_c^\pm(3900)$ to be the diquark-antidiquark type axialvector tetraquark state, study its magnetic moment with the QCD sum rules in the external weak electromagnetic field by carrying out the operator product expansion up to the vacuum condensates of dimension 8. We pay special attention to matching the hadron side with the QCD side of the correlation function to obtain solid duality, the routine can be applied to study other electromagnetic properties of the exotic particles.