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

Abstract

In this paper we study the scattering amplitudes of $D^0{D}^0{\pi }^{+}$-$D^{\ast +}{D}^0$ 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 $D^{\ast +}{D}^0$ virtual state and is formed as a result of an interplay between an attractive interaction between $D^0$ and $D^{\ast +}$ and coupling to $D^0{D}^0{\pi }^{+}$ channel.

Comments: 7 pages, 4 figures, to be the same as the published version