NUCLEAR ALPHA-EMISSION .1. CONSISTENT QUANTUM-MECHANICAL APPROACH IN TERMS OF COLLECTIVE COORDINATES

Alpha emitting is treated as a particular case of the nucleus decay. T he classical Hamiltonian of the nuclear system is constructed, account ing for the Coulomb inner-nuclear interaction and strong interaction a pproximated by the ''Yukava plus exponent'' potential. The effective q uantization in terms of the collective variable T (elongation) is perf ormed. The effective mass, adjacent to T, depends on T and is of tenso r character; its tensor character, is shown, can manifest itself in th e collisional experiment as the ''dependence of the potential barrier height'' on the incident particle energy. The numerical calculations f or Po-210 show that the mass tensor character is of principal value fo r the spectrum of the emitted alpha-particles. The possible consequenc es for the secondary processes in the atomic electron shell and for th e electron-positron pair production are discussed.