Excited charmonium states from Bethe-Salpeter equation

Abstract

We solve the Bethe-Salpeter equation for a system of a heavy quark-antiquark pair interacting with a screened linear confining potential. First we show the spinless QFT model is inadequate and fail to describe even gross feature of the quarkonia spectrum. In order to get reliable description the spine degrees of freedom has to be considered. Within the approximation employed we reasonably reproduce known radial excitation of vector charmonium. The BSE favors relatively large string breaking scale $\mu \simeq 350MeV$ . Using free charm quark propagators we observe that $J/\Psi$ is the only charmonium left bellow naive quark-antiquark threshold $2m_c$, while the all excited states are situated above this threshold. Within the numerical method we overcome obstacles related with threshold singularity and discuss the consequences of the use of free propagators for calculation of excited states above the threshold.

Talk given at QCD-TNT II

References in corpus (7)

• Higher Charmonia and X,Y,Z states with Screened Potential
• Light meson spectrum and classical symmetries of QCD
• Experimental indication on chiral symmetry restoration in meson spectrum
• Heavy meson interquark potential
• Bethe-Salpeter study of radially excited vector quarkonia
• Evidence for the psi(5S) and psi(4D) c-cbar vector resonances
• Rho-Like Mesons from Analysis of the Pion-Pion Scattering