Description of low-energy πN-scattering in nonlinear chiral SU(2)xSU(2) dynamics

The review of the current state of the low-energy πN-scattering theory is given. It is shown that the use of nonlinear SU(2) x SU(2) chiral invariant Lagrangian in the exponential parametrization along with the superpropagator method of regularization of scattering amplitude and Pade-approximation allows one to obtain the dynamical description of low-energy πN-scattering without introducing any arbitrary parameters. Using the first two nonvanishing terms of perturbation series the analytical expressions for the s and p partial waves in the (1,1)-diagonal Pade-approximation are obtained. Both energy dependence and the position of s and t channel singularities are in satisfactory agreement with the experiment