22-01E

We analyze the two-species reaction-diffusion system including trapping reaction A + B → A as well as coagulation/annihilation reactions A + A → (A,0) where particles of both species are performing Lévy flights with control parameter 0 < σ < 2. The density as well as the correlation function for target particles B in such problem are known to scale with nontrivial universal exponents at space dimension d ≤ d_c. Applying the renormalization group formalism we calculate these exponents in a case of the Lévy flights below the critical dimension d_c = σ. The numerical simulations of the process on a one-dimensional chain are performed as well. Obtained quantitative estimates for the decay exponent of the density of survived particles B are in a good agreement with the analytical results.