Pole analysis on the doubly charmed meson in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math> mass spectrum

Abstract

In this paper, we study the scattering amplitudes of ${D}^{0}{D}^{0}{\ensuremath{\pi}}^{+}\text{\ensuremath{-}}{D}^{*+}{D}^{0}$ coupled channels based on the $K$ matrix within the Chew-Mandelstam formalism. The ${D}^{0}{D}^{0}{\ensuremath{\pi}}^{+}$ 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 ${D}^{0}{D}^{0}{\ensuremath{\pi}}^{+}$ channel.

Topics & Concepts