# IV international conference on particle physics and astrophysics

22-26 October 2018
Hotel Intourist Kolomenskoye 4*
Europe/Moscow timezone

## Kinks in the relativistic model with logarithmic nonlinearity

22 Oct 2018, 15:40
2h 30m
Petrovskiy hall (Hotel Intourist Kolomenskoye 4*)

### Petrovskiy hall

#### Hotel Intourist Kolomenskoye 4*

Kashirskoye shosse, 39B, Moscow, Russia, 115409
Poster Particle physics: hep theory

### Speaker

Dr. Vakhid Gani (National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia)

### Description

We study the properties of a certain class of solutions of a relativistic model with the logarithmic nonlinearity. We show that such a model have two types of solutions: topologically trivial (gaussons) and topologically non-trivial (kinks). For the kink-antikink scattering, we have found a critical value of the initial velocity $v_\mathrm{cr}$, which separates two different scenarios of scattering. At the initial velocities $v_\mathrm{in} < v_\mathrm{cr}$, the kinks form a bound state, which then decays slowly. At $v_\mathrm{in} > v_\mathrm{cr}$, the kinks collide, bounce and eventually escape to infinities. During this process, the higher initial velocity is, the greater is the elasticity of the collision. We also study excitation spectrum of the kink solution.

### Primary authors

Dr. Vakhid Gani (National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia) Dr. Konstantin Zloshchastiev (Institute of Systems Science, Durban University of Technology, P.O. Box 1334, Durban 4000, South Africa)

### Presentation Materials

There are no materials yet.
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