acta physica slovaca

Abstract: The construction of anyonic operators and algebra is generalized by using quons operators. Therefore, the particular version of fractional supersymmetry is constructed on the two-dimensional lattice by associating two generalized anyons of different kinds. The fractional supersymmetry Hamiltonian operator is obtained on the two-dimensional lattice and the quantum algebra Uq(sl2) is realized.

Abstract: The isoscalar $s$-waves of the $\pi\pi$ scattering (from the threshold up to 1.9 GeV) and of the  process (from the threshold to ~1.51 GeV) are analyzed simultaneously in the model-independent approach. A confirmation of the -meson at ~665 MeV and an indication for the glueball nature of the f_0(1500) state are obtained. It is shown that the large -background, usually obtained, combines, in reality, the influence of the left-hand branch-point and the contribution of a wide resonance at ~665 MeV. A minimum scenario of the simultaneous description of the processes  does without the f_0(1370) resonance. A version including this state is also considered. In this case the f_0(1370) resonance has the dominant ss component (the ratio of its coupling constant with the  channel to the one with the KK channel is 0.12). The coupling constants of the observed states with the  and KK systems and the  and KK scattering lengths are obtained.

Abstract: We have calculated ground-state properties of even--even oxygen isotopes in the framework of the relativistic mean-field theory with three different parameterizations. Calculations have been performed for isotopes from 12O to 28O. The particle stability of very neutron—rich O isotopes is discussed.