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Information × Registration Number 0203U008043, 0100U003296 , R & D reports Title Investigation of many-particles systems popup.stage_title Head Adamenko I.; Berezhnoy Ju., Registration Date 10-04-2003 Organization Kharkov National University named after V.N.Karazin popup.description2 The subject of research is the characteristics of nuclei 12C, 16O and 20Ne in alpha-claster model, cross-sections of scattering p=20Ne, 12C-12C, 16O-12C, optical potentials of nuclei- nuclei scattering, interactions of electrons with quantum of surface oscillation - ripplons and the solution of the problem on the mobility of electrons on the surface of HeII. The aim of the research is the development of the theory, which gives the possibility to derive formulae for form-factor on the nuclei 20Ne on the basis of alpha-claster model, determination of potential in eikonal approximation, derivation of coefficient of electron mobility on the surface of liquid helium and relaxation time of electrons which includes the rates of electron-electron and electron-ripplon interactions, calculation of initial distribution function of phonons radiated into helium by heated solid and study the initial evolution of these pulses. The new model is proposed, in which the nuclei of 20Ne was considered like core and additional alpha-claster that moves in the field of core. The elastic scattering of alpha-claster nuclei 12C-12C and 12C-16O based on alpha-claster model with dispersion was considered. The method of optical potential creation for nuclei-nuclei scattering based on the eikonal approximation is developed. These potentials qualitatively agree with potentials of optical model. The processes of phonon radiation by heated solid into superfluid helium are considered. The initial distribution function of value and direction of momentum of these phonons is obtained. The life-time of phonons in isotropic phonon system at arbitrary temperature and pressure. The calculation was calculated in the first order of perturbation theory with account of four-particle vortex and in the second order of perturbation theory in the case of account of the three-particle vortex. This allows to obtain explicit expression for all rates of high energy phonons with low energy phonons and high energy phohons. The problem on mobility of two-dimensional gas of electrons is solved. This problem was solved in the frame of method of kinetic equations. The desired distribution functions of electrons and ripplons are calculated by new worked out matrix methods, which take into account interactions between the particles of the same and different types. As the result the explicit equations for the mobility of electrons was found. The obtained equation is valid at any relation between the rates of electron- electron and electron-ripplon interactions. Product Description popup.authors popup.nrat_date 2020-04-02 Close