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

TL;DR

This paper proposes a novel method using Dalitz plot analysis of the decay $T_{cc}^+ o D^+ D^0 \pi^0$ to determine the isospin of the double-charmed tetraquark candidate, addressing uncertainties due to production limitations.

Contribution

The paper introduces an efficient Dalitz plot-based approach to clarify the isospin of $T_{cc}^+$, applicable to other exotic hadron candidates.

Findings

Method enables isospin determination from decay distributions.

Applicable to other exotic hadron studies.

Addresses limitations due to production asymmetries.

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 $T_{cc}^+\to D^+D^0\pi^0$. This method can also be applied to other exotic candidates.