Pole analysis on the doubly charmed meson in $D^0D^0\pi^+$ mass spectrum

TL;DR

This paper investigates the nature of the $T_{cc}^+$ state by analyzing scattering amplitudes and pole structures in coupled channels, suggesting it may originate from a virtual $D^{*+}D^{0}$ state influenced by channel interactions.

Contribution

It introduces a coupled-channel analysis using the K-matrix and Chew-Mandelstam formalism to study the $T_{cc}^+$ and identifies its possible origin as a virtual state.

Findings

The $T_{cc}^+$ may originate from a $D^{*+}D^{0}$ virtual state.

The pole analysis indicates a significant interplay between channels.

The model fits the LHCb $D^0D^0\pi^+$ mass spectrum successfully.

Abstract

In this paper we study the scattering amplitudes of $D^{0}D^{0}\pi^+$-$D^{*+}D^{0}$ coupled channels based on $K$-matrix within the Chew-Mandelstam formalism. The $D^{0}D^{0}\pi^{+}$ invariant mass spectrum of LHCb is fitted and the pole parameters of the $T_{cc}^+$ are extracted. The analysis of pole behavior suggests that the $T_{cc}^+$ may originate from a $D^{*+}D^{0}$ virtual state and is formed as a result of an interplay between an attractive interaction between $D^0$ and $D^{*+}$ and coupling to $D^{0}D^0\pi^+$ channel.