[en] The solutions of a set of sum rules for magnetic moments of hyperons and slopes of the form factors at the pomeron-baryon vertices (i.e., the logarithmic slopes of the corresponding baryonic differential cross sections of baryon-nucleon elastic scattering) are presented. They agree with available experimental data, in particular, with large magnetic moment of the Ψ^- hyperon, causing difficulty for standard theoretical models. Some other consequences to be tested in experiments with high-energy hyperon beams are proposed