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 $B_{J}(5970)$

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.