Integral equations for three-body Coulombic resonances

We propose a novel method for calculating resonances in three-body Coulombic systems. The method is based on the solution of the set of Faddeev and Lippmann-Schwinger integral equations, which are designed for solving the three-body Coulomb problem. The resonances of the three-body system are defined as the complex-energy solutions of the homogeneous Faddeev integral equations. We show how the kernels of the integral equations should be continued analytically in order that we get resonances. As a numerical illustration a toy model for the three-$\alpha$ system is solved.Comment: 9 pages, 1 EPS figur

Energetic electron transport in the presence of magnetic perturbations in magnetically confined plasmas

The transport of energetic electrons is sensitive to magnetic perturbations. By using 3D numerical simulation of test particle drift orbits we show that the transport of untrapped electrons through an open region with magnetic perturbations cannot be described by a diffusive process. Based on our test particle simulations, we propose a model that leads to an exponential loss of particles.Comment: Accepted for publication in Journal of Plasma Physics (Energetic Electrons special issue

A PNJL model in 0+1 Dimensions

We formulate the Polyakov-Nambu-Jona-Lasinio (PNJL) model in 0+1 dimensions. The thermodynamics captured by the partition function yields a bulk pressure, as well as quark susceptibilities versus temperature that are similar to the ones in 3+1 dimensions. Around the transition temperature the behavior in the pressure and quark susceptibilities follows from the interplay between the lowest Matsubara frequency and the Polyakov line. The reduction to the lowest Matsubara frequency yields a matrix Model. In the presence of the Polyakov line the UV part of the Dirac spectrum features oscillations when close to the transition temperature.Comment: 18 pages, 13 figure

RIGOROUS ADJUSTMENT OF A TRAVERSE

In the first part of this paper computation of traverses tied and oriented at both ends was introduced by means of direct observation, based on the principle of the least squares. In the following part formulas were shown for determining measures of accuracy for surch traverses. After the theoretical chapters, applicibility was proved by means of a numerical example