The Radial Excited Heavy Mesons

TL;DR

This paper investigates the properties of the first radial excited heavy mesons using Dyson-Schwinger and Bethe-Salpeter equations, predicting their masses and decay constants with a well-fitted interaction model.

Contribution

It provides a quantitative description of radial excited heavy mesons within the Dyson-Schwinger and Bethe-Salpeter framework, including predictions for unmeasured states.

Findings

Effective interactions of excited states are harder than ground states.

Masses and decay constants of several excited mesons are predicted.

The approach successfully describes known excited states.

Abstract

In this paper, the first radial excited heavy pseudoscalar and vector mesons ($\eta_c(2S)$, $\psi(2S)$, $B_c(2S)$, $B^*_c(2S)$, $\eta_b(2S)$, $\varUpsilon(2S)$) are studied in the Dyson-Schwinger equation and Bethe-Salpeter equation approach. It is showed that the effective interactions of the radial excited states are harder than that of the ground states. With the interaction well determined by fitting the masses and leptonic decay constants of $\psi(2S)$ and $\varUpsilon(2S)$, the first radial excited heavy mesons could be quantitatively described in the rainbow ladder approximation. The masses and leptonic decay constants of $\eta_c(2S)$, $B_c(2S)$, $B^*_c(2S)$ and $\eta_b(2S)$ are predicted.