Eur. Phys. J. A (2015) 51: 10
https://doi.org/10.1140/epja/i2015-15010-7

Regular Article - Theoretical Physics

Spectra of heavy mesons in the Bethe-Salpeter approach

Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392, Giessen, Germany

^* e-mail: christian.fischer@physik.uni-giessen.de

Received: 1 October 2014
Revised: 12 December 2014
Accepted: 20 January 2015
Published online: 29 January 2015

Abstract

We present a calculation of the spectrum of charmonia, bottomonia and B_c-meson states with “ordinary” and exotic quantum numbers. We discuss the merits and limitations of a rainbow-ladder truncation of Dyson-Schwinger and Bethe-Salpeter equations and explore the effects of different shapes of the effective running coupling on ground and excited states in channels with quantum numbers $J\le 3$. We furthermore discuss the status of the $X(3872)$ as a potential (excited) quark-antiquark state and give predictions for the masses of charmonia and bottomonia in the tensor channels with $J= 2, 3$.