Masses of open charm and bottom tetraquark states in a relativized quark model

TL;DR

This paper calculates the masses of open charm and bottom tetraquark states using a relativized quark model, concluding that the $X(5568)$ is unlikely to be a tetraquark within this framework.

Contribution

It introduces a relativized quark model approach to compute tetraquark masses and applies it specifically to open charm and bottom states, providing new mass estimates.

Findings

Masses of $sqar bar q$ tetraquarks are higher than $X(5568)$.

The $X(5568)$ is unlikely to be a tetraquark in this model.

Further experiments are needed to understand the observed signals.

Abstract

We study the masses of open charm and bottom tetraquark states within the diquark-antidiquark scenario in the relativized quark model proposed by Godfrey and Isgur. The diquark and antidiquark masses are firstly solved by relativized quark potential, and then treated as the usual antiquark and quark, respectively. The masses of tetraquark states are obtained by solving the Schr\"{o}dinger-type equation between the new diquark and antidiquark. We find the masses of $sq\bar b\bar q$ tetraquark configuration are much higher than that of $X(5568)$. This conclusion disfavors the possibility of $X(5568)$ as a tetraquark state within the diquark-antidiquark scenario. Further experimental searches are needed to clarify the nature of the signal observed by D0 collaboration.