Productions of D^*_s0(2317) and D_s1(2460) in B_(s) and Λ_b(Ξ_b) decays

Recent studies show that D_s0^∗(2317) and D_s1(2460) contain large molecular components. In this work, we employ the naive factorization approach to calculate the production rates of D_s0^∗(2317) and D_s1(2460) as hadronic molecules in B_(s) and Λ_b(Ξ_b) decays, where their decay constants are estimated in the effective Lagrangian approach. With the so-obtained decay constants f_D_s0^∗(2317) and f_D_s1(2460), we calculate the branching fractions of the b-meson decays B_(s)→D̅_(s)^(*)D_s0^* and B_(s)→D̅_(s)^(*)D_s1 and the b-baryon decays Λ_b(Ξ_b) →Λ_c(Ξ_c) D_s0^* and Λ_b(Ξ_b) →Λ_c(Ξ_c) D_s1. Our results show that the production rates of D_s0^∗(2317) and D_s1(2460) in the B_s, Λ_b and Ξ_b decays are rather large that future experiments could observe them. In particular, we demonstrate that one can extract the decay constants of hadronic molecules via the triangle mechanism because of the equivalence of the triangle mechanism to the tree diagram established in calculating the decays B →D̅^(*)D_s0^∗(2317) and B →D̅^(*)D_s1(2460).