Renormalized scattering theory for Yukawa model II. Wave operators

For the Yukawa model, the dressing operator $T_0(g,\sigma)$ is used to construct a space $\mathscr H_{\operatorname {ren}}$ which differs from the Fok space, in which the renormalized Hamiltonian $\Bar{H}_{\operatorname {ren}}(1,\sigma)$ with removed space cutoff but fixed parameter of the ultraviolet cutoff is a self-adjoint operator. The existence of renormalized operators is proved for the pair of operators $H_0$ and $\Bar{H}_{\operatorname {ren}}(1,\sigma)$.