Heavy and heavy-light tensor and axial-tensor mesons in the Covariant Spectator Theory

Abstract

We present the first calculation of tensor and axial-tensor mesons with total spin $J\geq2$ within the Covariant Spectator Theory. We employ a refined quark-antiquark interaction kernel that incorporates the momentum dependence of the strong coupling, replacing the previously used constant term of the kernel. Global least-squares fits to the masses of experimentally established heavy and heavy-light meson states yield an excellent description of the mass spectrum for $J^P=0^\pm, 1^\pm, 2^\pm$, and $3^\pm$ using only eight adjustable parameters.

Figures (1)

• Figure 1: The results of fits to pseudoscalar (empty squares), non-axial (grey-filled diamonds), and all established (black dots) states, compared with the established (solid lines) and unconfirmed (dashed lines) experimental data, with the grey shading displaying the width. The red dotted lines indicate the open-flavour thresholds.