Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach

TL;DR

This paper predicts the masses of exotic J^PC = 1^-+ mesons in charm and bottom quarkonia using a covariant Dyson-Schwinger-Bethe-Salpeter approach, extending light-quark state insights.

Contribution

It introduces a novel application of the Dyson-Schwinger-Bethe-Salpeter framework to calculate masses of exotic quarkonia with specific quantum numbers.

Findings

Predicted masses for car{c} and bar{b} exotic mesons.

Extended understanding of exotic meson properties across different quark flavors.

Validated the approach with known light-quark states.

Abstract

We investigate the properties of mesons with the exotic J^PC = 1^-+ quantum numbers. Starting out from the light-quark domain, where the \pi_1 states are used as references, we predict the masses of analogous quarkonia for c\bar{c} and b\bar{b} configurations. We employ a covariant Dyson-Schwinger-Bethe-Salpeter-equation approach with a rainbow-ladder truncated model of quantum chromodynamics.