Spectra of heavy mesons in the Bethe-Salpeter approach

TL;DR

This paper calculates the spectrum of heavy mesons, including exotic states, using the Bethe-Salpeter approach, analyzing the effects of different effective couplings and discussing the nature of the X(3872).

Contribution

It introduces a detailed Bethe-Salpeter framework for heavy meson spectra, including exotic states, and evaluates the impact of various effective couplings on the results.

Findings

Predicted masses for charmonia and bottomonia tensor states J=2,3.

Analyzed the effects of different effective coupling shapes.

Discussed the nature of X(3872) as a potential quark-antiquark state.

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 <= 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.