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

Abstract

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.