# Placing the newly observed state $B_{J}(5840)$ in bottom spectra along with states $B_{1}(5721)$, $B_{2}^{*}(5747)$, $B_{s1}(5830)$, $B_{2s}^{*}(5840)$ and $B_{J}(5970)$

## TL;DR

This paper classifies and analyzes the strong decay properties of excited bottom mesons, including recently observed states, using HQET to assign quantum numbers and predict decay widths for unobserved states, aiding future experiments.

## Contribution

It provides a detailed classification of the $B_{J}(5840)$ state among possible quantum numbers and predicts decay widths for missing bottom mesons using HQET-based coupling constants.

## Key findings

- $B_{J}(5840)$ is most likely assigned as a specific $J^{P}$ state based on decay analysis.
- Predicted decay widths and branching ratios for several unobserved bottom mesons.
- Identification of quantum numbers for $B_{J}(5970)$, $B_{J}(5721)$, and $B_{2}^{*}(5747)$.

## Abstract

In this article, we study the two body strong decays with the emission of light pseudo-scalar mesons $(\pi, \eta, K)$ for higher excited bottom states with in the framework of HQET. Inspired from the recent observation of bottom meson $B_{J}(5840)$ by LHCb collaboration \cite{9}, we classify the six possible $J^{P}$'s for this state on the basis of the theoretically available masses. By analyzing the strong decay widths and the branching ratios for all these six cases of $B_{J}(5840)$, we justify one of them to be the most favorable assignment for it. We also examined the recently observed bottom state $B_{J}(5970)$ as 2S$1^{-}$ and states $B_{J}(5721)$ and $B_{2}^{*}(5747)$ with their strange partners $B_{s1}(5830)$ and $B_{2s}^{*}(5840)$ for their $J^{P}$'s as $1P_{3/2}1^{+}$ and $1P_{3/2}2^{+}$ respectively. The predicted coupling constants $g_{XH}$, $\widetilde{g}_{HH}$ and $g_{TH}$ helps in redeeming the strong decay width of experimentally missing bottom states $B(2 ^{1}S_{0})$, $B_{s}(2 ^{3}S_{1})$, $B_{s}(2 ^{1}S_{0})$, $B(1 ^{1}D_{2})$, $B_{s}(1 ^{3}D_{1})$ and $B_{s}(1 ^{1}D_{2})$. These predictions provide a crucial information for upcoming experimental studies.