Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration

TL;DR

This paper systematically analyzes the mass splittings of $qqar{Q}ar{Q}$ tetraquark states using color-magnetic interactions, highlighting the importance of color mixing effects and identifying potential stable tetraquarks.

Contribution

It introduces a detailed study of mass splittings considering color mixing effects in $qqar{Q}ar{Q}$ tetraquarks, providing estimates of their masses and stability conditions.

Findings

Color mixing significantly affects $J^P=0^+$ states.

Stable tetraquarks may exist in $nnar{Q}ar{Q}$ and $nsar{Q}ar{Q}$ systems.

Possible decay patterns are briefly discussed.

Abstract

In this work, we study systematically the mass splittings of the $qq\bar{Q}\bar{Q}$ ($q=u$, $d$, $s$ and $Q=c$, $b$) tetraquark states with the color-magnetic interaction by considering color mixing effects and estimate roughly their masses. We find that the color mixing effect is relatively important for the $J^P=0^+$ states and possible stable tetraquarks exist in the $nn\bar{Q}\bar{Q}$ ($n=u$, $d$) and $ns\bar{Q}\bar{Q}$ systems either with $J=0$ or with $J=1$. Possible decay patterns of the tetraquarks are briefly discussed.