Meson--meson scattering amplitudes within the 't Hooft model are considered. The results show that within this model the meson--meson scattering at low energies proceeds by the exchange of an isoscalar \sigma -like resonance, as well as of an isovector \rho -like resonance. Masses and widths for those resonances are calculated, and their dependence on the quark masses and the quark--gluon coupling strength is studied.

PACS numbers: 13.75.Lb, 13.75.--n, 12.38.--t