### Regular Series

#### Vol. 45 (2014), No. 9, pp. 1783 – 1901

Persistent Random Walk Effect in the Subdiffusion-reaction Process

Acta Phys. Pol. B 45, 1787 (2014)

article page: 1787 (contains 10 pages) •

abstract

The persistent random walk model assumes a correlation between successive particles’ steps. This model provides hyperbolic Cattaneo normal diffusion or subdiffusion equations for a system without chemical reactions. Utilizing the recently derived hyperbolic subdiffusion-reaction equa- tion (T. Kosztołowicz, arXiv:1306.3806 [cond-mat.stat-mech]), we study the steps’ correlation effect for the subdiffusion-reaction process. Based on the solutions to this equation, we discuss the influence of this effect on the subdiffusion coefficient and the reaction rate constant.

Scalar, Gauge and Kalb–Ramond Field Localization on a Brane with Generalized Dynamics

Acta Phys. Pol. B 45, 1797 (2014)

article page: 1797 (contains 14 pages) •

abstract

In this paper, we investigate the scalar, gauge and Kalb–Ramond field localization on a one-scalar generated brane with nonstandard kinetic terms coupled with gravity. We show that the massless zero mode of spin $0$ scalar field is localized on the brane with generalized dynamics, while the vector gauge field is not localized. In order to circumvent this problem, we use a functional of the scalar filed in the gauge field action to obtain vector gauge field localization in this braneworld model. We also study the localization of the Kalb–Ramond field via this procedure.

Resonant Production of Spin-3/2 Color Octet Electron at the LHeC

Acta Phys. Pol. B 45, 1811 (2014)

article page: 1811 (contains 21 pages) •

abstract

In this work, we investigate resonant production of spin-3/2 color octet electron at the Large Hadron electron Collider (LHeC). Signal and background analysis are performed and discovery, observation and exclusion limits are determined for spin 3/2 color octet electron masses. Reachable values of the compositeness scale are presented as a function of the spin-3/2 color octet electron masses.

Algebraic Collective Model and Nuclear Structure Applications

Acta Phys. Pol. B 45, 1833 (2014)

article page: 1833 (contains 20 pages) •

abstract

We present results that can be obtained with an algebraic version of Bohr’s collective model with the aim to identify the limitations of the model as much as it successes. A special focus is placed on the analysis of triaxial nuclei. The first, simple application of the algebraic collective model to $^{188,192}$Os is performed with the aim to identify, among the observed $J=0^{+}$ states, the best candidates for a $\beta$ vibration. A conclusion of this analysis is that beta bandheads in these nuclei are to be expected at a much higher energy than the energy of the observed $0_{2}$ states. This finding is in agreement with the vibration-rotation model predictions and the predictions of the symplectic model. A decisive role played by $\beta$ and $\gamma$ fluctuations for a correct description of the amplitudes of the quasi-$\gamma$-band staggerings is shown. In particular, it is revealed that $\beta$ fluctuations act differently in the axially symmetric and the triaxial regime.

all authors

S.B. Sakuta, N. Burtebayev, J.T. Burtebayeva, A. Duisebayev, N.V. Glushchenko, M. Nassurlla, A. Amar, S.V. Artemov, S. Kliczewski, E. Piasecki, K. Rusek, R. Siudak, A. Trzcińska, M. Wolińska-Cichocka

The Channel Coupling and Triton Cluster Exchange Effects in $^{3}$He Scattering on $^{6}$Li Nuclei

Acta Phys. Pol. B 45, 1853 (2014)

article page: 1853 (contains 11 pages) •

abstract

Existing experimental data on elastic and inelastic scattering of $^{3}$He projectiles on the $^{6}$Li nuclei in the energy range from 18 to 217 MeV were analyzed within the framework of the coupled reaction channels. The coupling of the elastic and inelastic scattering with the transition to the excited state of 2.186 MeV (3$^{+}$) and triton-exchange mechanism were taken into account in calculations. Phenomenological potentials with depths depending on the energy at fixed values of the geometric parameters were found. These potentials describe well the experimental angular distributions for the elastic scattering. However, there is a significant underestimation of the cross sections for the inelastic scattering at middle angles. Energy dependence of the volume integrals of the real potential for $^{3}$He + $^{6}$Li system is consistent with similar data for other systems $p~+~^{6}$Li, $d~+~^{6}$Li, $\alpha ~+~^{6}$Li, $^{12}$C + $^{12}$C and also with the predictions of the microscopic theory.

Study of Collective Rotational Enhancement Factors for Nuclear Level Densities Using the Microscopic Theory of Interacting Fermions

Acta Phys. Pol. B 45, 1865 (2014)

article page: 1865 (contains 10 pages) •

abstract

Determination of accurate nuclear level densities is of crucial importance for a variety of nuclear physics aspects and its related technologies. Therefore, there have been many theoretical and experimental efforts to determine nuclear level densities for variety of nuclei. In this research, the effects of changing structure and collective excitations on some deformed nuclei with axial symmetry were studied using microscopic generalized superfluid model (MGSFM) and experimental data. It was shown that the experimental data can be reproduced by a level density formalism developed for nuclei with static deformation.

A Microscopic Analysis of Elastic Scattering of $^{8}$Li Nucleus on Different Target Nuclei

Acta Phys. Pol. B 45, 1875 (2014)

article page: 1875 (contains 8 pages) •

abstract

We examine the elastic scattering angular distributions of $^{8}$Li projectile by the different target nuclei from $^{9}$Be to $^{208}$Pb at various incident energies. In order to obtain a global potential set, we make the theoretical calculations for the same geometry of the reactions via the double folding model based on the optical model. We give the results as comparison with the experimental data.

Bose–Einstein Correlations and Thermal Cluster Formation in High-energy Collisions

Acta Phys. Pol. B 45, 1883 (2014)

article page: 1883 (contains 19 pages) •

abstract

The blast wave model is generalized to include the production of thermal clusters, as suggested by the success of the statistical model of particle production at high energies. The formulae for the HBT correlation functions and the corresponding HBT radii are derived.

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