Productions of bottom and bottom-strange mesons in pion and kaon induced reactions

In the present work, we propose to explore the productions of the bottom and bottom-strange mesons in the high-energy pion and kaon-induced reactions on a proton target. The cross sections are evaluated with an effective Lagrangian constructed by the heavy-quark limit and chiral symmetry. Our estimations show that at $P_\pi=80$ GeV, the cross sections for $B(5279)$, $B^\ast (5325)$, $B_0^\ast (5738)$, $B_1^\prime (5757)$, $B_1(5721)$ and $B_2^\ast (5747)$ production processes are estimated to be $3.19 \sim 86.26$, $1.86\sim 51.29$, $0.87 \sim 24.25$, $0.84 \sim 23.14$, $162.35 \sim 4477.66$, and $57.16 \sim 1604.43$ nb, respectively, where uncertainties arise from the model parameter. In addition, the cross sections for the corresponding bottom-strange mesons production processes are very similar. Moreover, our estimations indicate that the ratios of these cross sections are almost independent on the model parameters. In particular, the cross-section ratios related to the states in the same doublets are of order one, which is consistent with the expectation of heavy-quark limit. The cross sections related to the states in the $T$ doublets are about two orders larger than those related to the states in the $S$ doublets.