Neutron and proton asymptotic coefficients for symmetric and mirror nuclei
Annotatsiya
The parameters of the bound-state potential and the corresponding asymptotic coefficients of the wave functions for a number of symmetric and mirror nuclei of the 1d shell have been obtained within the single-particle approximation by solving the Schrödinger equation under the condition of equivalence of the nuclear potentials of the proton and neutron of one pair (EPN condition). The criterion for selecting the parameters was the equality of the calculated and experimental values of the nuclear radius. It is shown that, as a result of application of the EPN condition and the well-depth procedure, the ratio of the squares of the asymptotic coefficients for the neutron and proton of one pair becomes a constant, insensitive to variation in the parameters.