In the classical relativistic mechanics of a particle whose internal structure is neglected the mass and the charge are treated as variables. In this way the manifestly covariant Hamiltonian formalism is derived. Upon quantization the charge quantization rule \(e=ne_0\), \(n=0\), \(\pm 1\), \(\pm 2\), \(\dots \) is proved.
The relativistic light front dynamics, which unifies descriptions of low and high energy phenomena, is applied to the deuteron. The deuteron wave function is constructed from the Weinberg equation with spin, under the constraints of the quark substructure of the deuteron current. It is shown that the relativistic nucleon impulse approximation of deuteron is insufficient to explain the experimental data for the elastic electron-deuteron scattering at momentum transfers of the order of 8 GeV\(^2\).
An improved argument is presented which allows to determine the numerical coefficient with which the longitudinal part of the electromagnetic field should enter into the total action.
It is pointed out that the previously proposed theory of free phase leads to a uniquely determined nonlinear modification of the Schrödinger equation. Expressions for probability density and energy density appropriate for the modified equation are given.
Some unusual features of the theory of heavy quarkonia interacting with the QCD vacuum gluon condensate are reproduced using a generalized harmonic oscillator model. The model, however, suggests further results contradicting the usual approach.
A survey is given of experimental information for alpha emitters in the range from Ce to Os. From experimentally known alpha decay energies some mass values of very neutron deficient nuclei were derived. The knowledge of these mass values makes possible the calculations of the electron capture and proton binding energies. In the range from Sm to Os the parameters of the Geiger–Nuttall type formula for calculation of the alpha decay half-lives are derived. The alpha decay barrier penetrabilities and reduced widths for 95 alpha emitters in the region from Ce to Os are calculated and discussed.
The dynamic form factor of nuclear matter in spin and spin-isospin channels is calculated with proper inclusion of tensor forces. The calculation is performed in the long wavelength limit, using the methods of the theory of normal Fermi liquid. Numerical results, obtained for the quasiparticle interaction derived from the realistic nucleon–nucleon potentials show that tensor forces may appreciably modify the linear response of nuclear matter in the spin channel. In particular, for some models of the quasiparticle interaction, the presence of tensor forces leads to instability of the standard ground state of nuclear matter with respect to some small amplitude spin-dependent perturbations.
