Application of the Numerov method with a changeable step for a numerical decision of the generalized Dirac equation in two-particle nuclear interactions

The Numerov method is applied to strongly covergent nuclear potentials. For the purpose the generalized Dirac equation is transformed to the form d2y/dx2 + f(x)y = 0. The step h is divided in halves so that the final wave function error remains smaller than 2x10-x (|f|h<0.0025) Thus a control of the obtained results and a comparis n of the author's theory with the np -scattering data is carried out. The used equations and boundary conditions are presented. 12 calculated cross -sections of the np-scattering in the 3-50 MEV region are compared with the experiment. They coincide in the limits of the experimental error. The probability for an accidental coincidence is less than 10-28. It is noted that for higher energies higher derivatives and non-linear equations are necessary. (author)