The Decay constants of $B_c(nS)$ and $B^*_c(nS)$

TL;DR

This paper calculates the decay constants of low-lying S-wave $B_c$ mesons using a nonrelativistic quark model, incorporating running coupling effects and analyzing uncertainties, also providing decay constants for charmonium and bottomonium states.

Contribution

It introduces a detailed calculation of $B_c(nS)$ and $B^*_c(nS)$ decay constants considering running coupling and uncertainty analysis within a nonrelativistic framework.

Findings

Decay constants for $B_c(nS)$ and $B^*_c(nS)$ are computed.

Uncertainties due to parameter variation are analyzed.

Decay constants for charmonium and bottomonium are provided.

Abstract

The decay constants of the low lying S-wave $B_c$ mesons, i.e. $B_c(nS)$ and $B^*_c(nS)$ with $n\leq 3$, are calculated in the nonrelativistic quark model. The running coupling of the strong interaction is taken into account, and the uncertainties due to varying parameters and losing Lorentz covariance are considered carefully. As a byproduct, the decay constants of the low lying S-wave charmonium and bottomium states are given in the appendixes.