Calculation of single-particle levels in nuclear mean field

In the first part of this work, the nuclear mean field is discussed both phenomenologically and as an expression of self-consistency. The single-particle basis and an antisymmetric many-particle states are investigated. It turns out that a major part of the nucleon-nucleon interactions can be included in the single-particle energies of the mean field. A numerical solution of the Schrödinger equation with the Woods-Saxon potential together with the Coulomb potential and spin-orbit coupling are also discussed. The solution is constructed in a basis of harmonic oscillator wave functions.In the second part of the work, the single-particle nuclei are calculated by using the computer program ?triaxial? which solves the Schrödinger equation of the stationary states for an average nuclear potential of Woods-Saxon type. The deformation is specified by the usual Bohr parameters. The calculations are carried outin two stages. In first, one calculates the representative matrix of the Hamiltonian in the Cartesian oscillator basis. In the second stage one diagonalizes this matrix with the help of subroutines of the EISPACK library.