Can X(3872) be a $J^{P}=2^{-}$ tetraquark state?

TL;DR

This study investigates whether the X(3872) particle can be described as a J^P=2^- tetraquark state using QCD sum rules, and concludes it cannot be explained as such.

Contribution

The paper proposes a specific interpolating current for a J^P=2^- tetraquark and calculates its mass, providing evidence against X(3872) being this state.

Findings

Calculated mass of the J^P=2^- tetraquark is 4.38±0.15 GeV.

The mass does not match the observed X(3872) mass.

It is concluded that X(3872) cannot be a J^P=2^- tetraquark.

Abstract

In this article, we test the nature of X(3872), which is assumed to be a P-wave $[cq]$-scalar-diquark $[\bar{c}\bar{q}]$-axial-vector-antidiquark tetraquark state with $J^{P}=2^{-}$. The interpolating current representing the $J^{P}=2^{-}$ state is proposed. Technically, contributions of the operators up to dimension six are included in the operator product expansion (OPE). The mass obtained for such state is $m_{2^{-}}=(4.38\pm 0.15) GeV$. We conclude that it is impossible to describe the X(3872) structure as $J^{P}=2^{-}$ tetraquark state.