Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front

The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar $\lambda\varphi^4$ field theory and Yukawa-type model are used. We give also an example of nonperturbative calculation in the theory with Pauli-Villars fields, using for that a model of anharmonic oscillator modified by inclusion of ghost variables playing the role similar to Pauli-Villars fields.Comment: LaTeX, 10 pages, 2 figures. Article will be published in AIP Conference Proceedings, the final publication will be available at http://scitation.aip.org/content/aip/proceeding/aipc

Diagrammatic method for theory of magnetic and resistive properties of manganites

Effective field theory of magnetic and resistive properties of manganites with account of strong Hund exchange coupling and electron-phonon interactions has been evolved under the strong Hund coupling condition. In parallel with Lang-Firsov unitary transformation of the zeroth Hamiltonian, we have realized the diagonalization of Hund's Hamiltonian neglecting the upper triplet. The diagram techniques taking into account the quantum spin fluctuations of lower quintet and hole state with spin S=3/2 was developed. The magnetic structure of the ground state and an influence of electron-phonon interaction have been analyzed using the first nonvanishing approximation of perturbation theory. The calculated temperature dependence of resistivity agrees well with experimental data including these obtained in applied magnetic field.Comment: 44 pages, 14 figure

Production of exotic isotopes in complete fusion reactions with radioactive beams

The isotopic dependence of the complete fusion (capture) cross section is analyzed in the reactions $^{130,132,134,136,138,140,142,144,146,148,150}$Xe+$^{48}$Ca with stable and radioactive beams. It is shown for the first time that the very neutron-rich nuclei $^{186-191}$W can be reached with relatively large cross sections by complete fusion reactions with radioactive ion beams at incident energies near the Coulomb barrier. A comparison between the complete fusion and fragmentation reactions for the production of neutron-rich W and neutron-deficient Rn isotopes is performed.Comment: 13 pages, 6 figures, accepted in PR

Equilibrium and stability of non-linearly elastic bodies with cavities containing fluid

Boundary conditions are formulated on the surface of a cavity filled with a compressible fluid or gas for the equilibrium problem of an elastic body experiencing large deformations. A formulation is given of the stability problem for the equilibrium of a non-linearly elastic body with fluid inclusions. The stability problem is solved for a thick-walled closed spherical shell filled with gas and loaded by external pressure. © 1988