Semi-inclusive decays of $B$ meson into a dark anti-baryon and baryons

Using the recently developed $B$-Mesogenesis scenario, we studied the semi-inclusive decays of $B$ meson into a dark anti-baryon $\psi$ plus any possible states $X$ containing $u\mathrm{/}c$ and $d\mathrm{/}s$ quarks with unit baryon number. The two types of effective Lagrangians proposed by the scenario are both considered in the study. The semi-inclusive decay branching fractions of $B\to X\psi$ are calculated by the method of heavy quark expansion, where the non-perturbative contributions from the matrix elements of dimension-5 operators are included. We obtained the branching fractions as functions of the dark anti-baryon mass. Using the experimental upper limits of the branching fractions, we presented the constraints of the coupling constants in the $B$-Mesogenesis scenario.