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This is the 6th paper in the series developing the formalism to manage theeffective scattering theory of strong interactions. Relying on the theoreticalscheme suggested in our previous publications we concentrate here on thepractical aspect and apply our technique to the elastic pion-nucleon scatteringamplitude. We test numerically the pion-nucleon spectrum sum rules that followfrom the tree level bootstrap constraints. We show how these constraints can beused to estimate the tensor and vector $NN\rho$ coupling constants. At last, wedemonstrate that the tree-level low energy expansion coefficients computed inthe framework of our approach show nice agreement with known experimental data.These results allow us to claim that the extended perturbation scheme is quitereasonable from the computational point of view.

Bootstrap and the physical values of $\pi N$ resonance parameters