The assignments of the bottom mesons within the screened potential model and $^3P_0$ model

TL;DR

This paper calculates the bottom meson mass spectrum using a modified nonrelativistic quark model with screening effects and studies their decay properties, aiding in the identification of observed states.

Contribution

It introduces a combined approach using a screened potential model and the $^3P_0$ decay model to assign quantum states to bottom mesons.

Findings

Assignments of specific bottom mesons to theoretical states.

Predictions align with experimental observations.

Highlights need for more precise measurements.

Abstract

In this work, we calculate the mass spectrum of the bottom mesons with a modified nonrelativistic quark model by involving the screening effect, and explore their strong decay properties within the $^3P_0$ model. Our results suggest that the $B_1(5721)$, $B^*_2(5747)$, $B_J(5840)$, and $B_J(5970)$ could be reasonably assigned as the $B_1^\prime(1P)$, $B(1^3P_2)$, $B(2^1S_0)$, and $B(1^3D_3)$ respectively. The more precise measurements of the excited bottom mesons are crucial to confirm these assignments.