Production of $$D_{s0}(2590)^+$$ D s 0 ( 2590 ) + in B nonleptonic decays

Abstract

Abstract In 2021, a new charm-strange meson, $$D_{s0}(2590)^+$$ D s 0 ( 2590 ) + , was discovered, which is believed to be the $$D_s^+(2^1S_0)$$ D s + ( 2 1 S 0 ) . However, its low mass and wide width are challenged by theoretical results. Given the small branching ratio of the current production channel, resulting in a small number of events and large errors, we suggest searching for the $$D_{s0}(2590)^+$$ D s 0 ( 2590 ) + in the B meson nonleptonic decays, $$B_q\rightarrow D^{(*)}_qD_{s0}(2590)^+$$ B q → D q ( ∗ ) D s 0 ( 2590 ) + ( $$q=u,d$$ q = u , d ), followed by $$D_{s0}(2590)^+\rightarrow D^*K$$ D s 0 ( 2590 ) + → D ∗ K . We find that $$Br(B_q\rightarrow D^{(*)}_qD_{s0}(2590)^+)\times Br(D_{s0}(2590)^+\rightarrow D^{*}K)=(2.16\sim 2.82)\times 10^{-3}$$ B r ( B q → D q ( ∗ ) D s 0 ( 2590 ) + ) × B r ( D s 0 ( 2590 ) + → D ∗ K ) = ( 2.16 ∼ 2.82 ) × 10 - 3 is very large, and the result is not sensitive to the mass of $$D_{s0}(2590)^+$$ D s 0 ( 2590 ) + . Due to the large branching ratio, numerous $$D_{s0}(2590)^+$$ D s 0 ( 2590 ) + events are expected. This study is based on the framework of the instantaneous Bethe–Salpeter equation, and the relativistic wave functions used for mesons contain different partial waves. The contributions of the different partial waves are also studied.