Heavy and heavy-light mesons and the Lorentz structure of the quark-antiquark interaction

Abstract

We solve a Minkowski-space integral equation, derived in the Covariant Spectator Theory, for quark-antiquark bound states describing heavy and heavy-light mesons. The equation's kernel contains a one-gluon exchange interaction and a covariant generalization of a linear confining potential with a mixed scalar, pseudoscalar, and vector Lorentz structure, characterized by a continuous mixing parameter. We investigate to what extent the Lorentz structure of the confining kernel can be determined by fitting the mixing parameter to the meson spectrum.

Comments: 6 pages, 4 figures, presented at the conference "Excited QCD 2017", 7-13 May 2017, Sintra, Portugal