Spectrum of 10Be in the basis of the leading representation of the SU(3) group

A realization of the approximation of the SU(3) leading representation with the microscopic Hamiltonian and a nucleon-nucleon interaction is presented in detail. An effective Hamiltonian reproducing results of calculations with some known potentials is constructed. It is shown that its structure is quite similar to that of the triaxial rotator, and the wave functions in the Elliott's scheme are linear combinations of Wigner's D-functions although they should be properly normalized.