Acta Physica Slovaca 51(2001)
Douari J., Hassouni Y.
Fractional supersymmetry through generalized anyonic algebra
Acta Physica Slovaca 51, 175 (2001)
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.
Surovtsev Yu. S., Krupa D., Nagy M.
Spin-magnetic field interaction and realization of fractional supersymmetry
Acta Physica Slovaca 51, 189 (2001)
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.
Leja J., Gmuca Š.
Relativistic mean-field study of even-even oxygen
Acta Physica Slovaca 51, 201 (2001)
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.