Strong Decays of the Radial Excited States $B(2S)$ and $D(2S)$

TL;DR

This paper investigates the decay properties and predicts the masses of the first radial excited states of B and D mesons using the Bethe-Salpeter method, providing estimates for their decay widths and masses.

Contribution

It offers the first detailed decay width calculations and mass predictions for $B(2S)$ and $D(2S)$ states using the instantaneous Bethe-Salpeter approach.

Findings

Estimated decay widths: $ ext{B}^0(2S)$ and $ ext{B}^+(2S)$ around 24 MeV, $ ext{D}^0(2S)$ and $ ext{D}^+(2S)$ around 11 MeV.

Predicted masses: approximately 5.77 GeV for B(2S) states and 2.39 GeV for D(2S) states.

Provides theoretical support for experimental searches of these excited meson states.

Abstract

The strong OZI allowed decays of the first radial excited states $B(2S)$ and $D(2S)$ are studied in the instantaneous Bethe-Salpeter method, and by using these OZI allowed channels we estimate the full decay widths: $\Gamma_{B^0(2S)}=24.4$ MeV, $\Gamma_{B^+(2S)}=23.7$ MeV, $\Gamma_{D^0(2S)}=11.3$ MeV and $\Gamma_{D^+(2S)}=11.9$ MeV. We also predict the masses of them: $M_{B^0(2S)}=5.777$ GeV, $M_{B^+(2S)}=5.774$ GeV, $M_{D^0(2S)}=2.390$ GeV and $M_{D^+(2S)}=2.393$ GeV.