Placing the newly observed state $B_J(5840)$ in bottom spectra along with states $B_1(5721)$, $B_2^{\ast }(5747)$, $B_{s1}(5830)$, $B_{2s}^{\ast }(5840)$ 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 $B_2^{\ast }(5747)$ with their strange partners $B_{s1}(5830)$ and $B_{2s}^{\ast }(5840)$ for their $J^P$'s as $1P_{3/2}{1}^{+}$ and $1P_{3/2}{2}^{+}$ respectively. The predicted coupling constants $g_{XH}$, ${\tilde{g}}_{HH}$ 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.

Comments: 10Pages, 1Figure, 6 Tables. arXiv admin note: substantial text overlap with arXiv:1801.00404