Investigating the Isospin Property of $T_{cc}^{+}$ from its Dalitz Plot Distribution

Abstract

Recently, LHCb observed a double-charmed tetraquark candidate $T_{cc}^{+}$ and claimed its isospin to be zero due to the absence of $T_{cc}^{++}$. However, the absence of the $T_{cc}^{++}$ in LHCb may be due to their low production in $pp$ collisions, thus the isospin of $T_{cc}^{+}$ still needs to be clarified. We propose an efficient way to investigate the isospin property of $T_{cc}^{+}$ from the Dalitz plot distribution of $T_{cc}^{+}\to D^{+}{D}^0\ddot{I}{€}^0$. This method can also be applied to other exotic candidates.