abstract

Covariant, two-body, relativistic equations containing relevant potentials describing electromagnetic interactions between charged scalar–scalar and scalar–spinor particles, are derived using Barut’s method. Only terms proportional to products of the electric charges are considered. Obtained potential can be confining one.

abstract

Two-body relativistic electrostatic potentials between charged, massive, spin-0 and massive, spin-\(\frac {1}{2}\) Dirac particles are derived using Barut’s method. Only terms proportional to products of the electric charges are considered.

abstract

We have studied Cabibbo angle favored decays of D\(_{\rm s}\) (old F) into a vector and a pseudoscalar meson (VP modes) in factorization of the hadron currents approximation. The technique and the model were applied and tested, in the past, for the calculation of several two body decays of hadrons. The branching ratio for the decays D\(_{\rm s} \to \phi \pi \), D\(_{\rm s} \to {\rm K}^*\)K and D\(_{\rm s} \to \rho \eta \,(\eta ')\) are estimated. The results are found to be in general agreement with the experimental values and consistent with few other theoretical values. We also estimate the branching ratio for the decay D\(_{\rm s} \to \rho \pi \), which can occur only via quark flavor annihilation process and found it to be in agreement with the recent data by ARGUS at the DORIS II \(e^+e^-\) storage ring at DESY.

abstract

We present a new approach to SU\(_{\rm 2L} \times {\rm U}_1\) radiative corrections at high energies. Our approach is based on the infrared summation methods of Yennie, Frautschi and Suura, taken together with the Weinberg–’t Hooft renormalization group equation. Specific processes which have been realized via explicit Monte Carlo algorithms are \(e^+e^- \to ff + n (\gamma )\), \(f = \mu ,\) \(\tau \), \(d\), \(s\), \(u\), \(c\), \(b\) or \(t\) and \(e^+e^- \to e^+e^- + n(\gamma )\), where \(n(\gamma )\) denotes multiple photon emission on an event-by-event basis. Exemplary Monte Carlo data are presented.

abstract

The interaction between the “macrosystem” (corresponding to the so-called slow variables) and the “microsystem” (corresponding to the so-called fast variables) is considered. By using the Born–Oppenheimer adiabatic approximation it is shown that such interaction modifies dynamics of the “macrosystem”. We find the form of modified Poisson brackets for the “macrosystem”. We also show how symmetries and laws of conservation of the “macrosystem” are influenced by this interaction.

abstract

The violation of chiral symmetry in massless QED is discussed within the framework of relativistic quantum mechanics.

abstract

The effects induced by the interplay isovector and isoscalar components of the residual nuclear forces were studied in the model based on six bosons: \(s^+_{\mu }\) with \(J = 0\), \(T = 1\), \(\mu = 0\), \(\pm 1\) and \(p^+_{\mu }\) with \(J= 1\), \(\mu = 0\), \(\pm 1\), \(T = 0\). Low-lying energy levels, E2 transitions, \(p\)-boson structure of eigenstates, percentage of \(\alpha \)-clusters, \((p, t)\) reactions and \(\alpha \) elastic scattering were searched in even–even \(^{156-166}\)Dy and \(N = 92\), \(Z = 56\)–68 nuclei.