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Theory of Nuclei and Other Finite Systems

• Investigation of low-lying states in Ar and Sn isotopes taking into account anharmonic effects in a microscopic way with the finite rank approximation for the Skyrme interaction.
  
  Elaboration of self-consistent factorized nuclear effective forces based on arbitrary density- and current-dependent functionals.
  
  Derivation of coupled equations of motion for an angular momentum of a nucleus and its quadrupole moments in coordinate and momentum spaces to describe the "scissors" mode on the base of the TDHF theory.
  
  Study of temperature dependence of a giant dipole resonance width within the microscopic model based on the thermofield dynamic approach.
  
  Microscopic analysis of the total radiative muon capture rates on heavy nuclei taking into account, for the first time, a contribution of momentum dependent operators.
  
  
• Development of the nonlinear approach to describe the alpha particle formation at the nuclear surface with application to the alpha particle scattering on Si-isotopes.
  
  Calculations of the kinetic energy, mass and charge distributions of the quasifission products and comparison of the results with experimental data.
  
  Calculations of the masses of stable and exotic nuclei basing on the relativistic mean field approach and the Strutinsky shell-correction method.
  
  Application of the cluster model to study a possibility of observing the hyperdeformed nuclear states and calculate dipole, quadrupole and octupole transition moments of nuclei from the actinide region.
  
  
• Derivation of exact solutions of three and four-body scattering problems with inverse square two-body interactions.
  
  Development of a spectral-geometric approach to solve the operator Riccati equations and construct the invariant subspaces of matrix Hamiltonians.
  
  Calculation of ultra-cold scattering and recombination in three-atomic systems including ⁴He and ³He atoms.
  
  Investigation of the influence of core degrees of freedom on the properties of halo nuclei.
  
  Revealing new mechanisms of total reflectivity and total transparency of potential barriers in quantum systems.
  
  Investigation of properties of the (Li ⁺ ) system.
  
  
• Study of polarization observables in vector meson photo-production as a tool for the baryon resonance dynamics and hadron structure with taking into account strange matrix elements.
  
  Search for possible signs of deconfinement phase transition in excitation functions of various observables within 2-fluid relativistic hydrodynamics with a statistical mixed-phase model of equation of state.
  
  Elaboration of theoretical models for analysis of multiple production of cumulative particles in deep inelastic interactions of neutrino with emulsion nuclei.
  
  Construction of a separable relativistic N-rank potential to study electromagnetic properties of deuteron within the Bethe-Salpeter approach.
  
  Development of the method for restoration of the nucleus-nucleus optical potential at intermediate energies basing on the Glauber-Sitenko diffraction multiscattering theory.

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