Dynamical origin and the pole structure of X(3872)

TL;DR

This paper investigates the dynamical origin and pole structure of the X(3872) resonance by analyzing channel coupling effects in coupled charmonium and D*D* states, providing insights into its nature and related states.

Contribution

It introduces a pole analysis of coupled charmonium-D*D* states, explaining the X(3872) structure and related resonances through channel coupling effects.

Findings

The peak at the D0D*0 threshold is due to a Breit-Wigner resonance shifted by channel coupling.

The D*D* production cross section aligns qualitatively with experimental data.

The analysis associates certain charmonium states with observed resonances like Z(3930).

Abstract

The dynamical mechanism of channel coupling with the decay channels is applied to the case of coupled charmonium - $DD^*$ states with $J^{PC}=1^{++}$. A pole analysis is done and the $DD^*$ production cross section is calculated in qualitative agreement with experiment. The sharp peak at the $D_0D^*_0$ threshold and flat background are shown to be due to Breit-Wigner resonance, shifted by channel coupling from the original position of 3954 MeV for the $2^3P_1$, $Q\bar Q$ state. A similar analysis, applied to the $n=2$, $^3P_2$, $^1P_1$, $^3P_0$, allows us to associate the first one with the observed $Z(3930)$ J=2 and explains the destiny of $^3P_0$.