On radii of nuclear potential and density

The Saxon-Woods potential is widely used as an average field in different nuclear models: upsilon(r)=-upsilonsub(0)parameters: upsilonsub(0) is the well depth, Rsub(v) is the well width, a is the diffusivity of the potential edge. The potential parameters should be determined from the data on the nuclear matter distribution. The data available is in agreement with the formula for density: rho(r)=rhosub(0)same sense as Rsub(v), a. The experimental data show that Rsub(v) by 1 Fermi exceed Rsub(rho) approximately. There exist some suggestions that it caused by the finiteness of the radius of action of nuclear forces. It is noted that finiteness of radius of action of forces is a sufficient condition for the presence of this effect. A model is considered in which the matter is limited with a plane surface, so that the density depends only on a single spatial variable normal to the boundary of matter. As is shown by the results, the radius of nuclear potential exceeds that of the volume of the nuclear matter by 0.6 Fermi approximately. The mechanism of this phenomenon takes its origin from a quantum-mechanical effect of turning the wave functions into zero near the infinitely high wall and from their considerable decreasing near the wall of a finite height