Structure of light nuclei in the K-harmonics description with different nucleon-nucleon potentials

The structure of light nuclei is studied within the K-harmonics methods. In this connection a formalism of hyperspherical function is developed. The structure of hyperspherical harmonics with a specified commutation symmetry has been investigated, effective methods of fractional parentage coefficients, recurrent by a number of nucleons in a nucleus has been developed, the matrix elements of various operators have been considered. Then several nuclear properties are described by the formulas obtained using different realistic two-nucleon potentials. Binding energies, rms sizes, excited states of normal and anomalous parity, compressibilities of the nuclei and the cluster structure of the wave functions are studied. The lp-shell nuclei in the K=Ksub(min) and K=Ksub(min)+1 approximation are investigated. The results obtained allow to conclude that relative position of levels in spectra is less sensitive to the choice of potential parameters as compared to an absolute value of binding energy. For dipole giant resonance an admixture of states of three of multiparticle configurations is essential. Compressibility parameter of light nuclei depends upon nucleon-nucleon version , differs for isovector and isoscalar states, but does not change at increasing the nuclear excitation energy