Asymmetric kink solutions of hyperbolically deformed model

V A Gani,A Moradi Marjaneh

doi:10.1088/1742-6596/1690/1/012096

Abstract

We study some properties of kink solutions of the model with non-polynomial potential obtained by deforming the well-known φ 6 field model. We consider the excitation spectrum of the kink. We also discuss the properties of the ‘kink+antikink’ system as a whole that are not inherent to a solitary kink or antikink.

Highlights

The properties of kinks of the φ6 model have been fairly well studied
We apply the deformation procedure to the φ6 model, using the hyperbolic sine as the deforming function. The result of such deformation is the sinh-deformed φ6 model. (The fact that the study of the properties of kinks of the sinh-deformed φ6 model is of interest was indicated in [10].) The preliminary results reported by Dr Aliakbar Moradi Marjaneh at the ICPPA-2020 conference indicate that in collisions of the kink and antikink of the sinh-deformed φ6 model resonance phenomena are present; see, e.g., [12] for details about escape windows
We found that the stability potential (7) of the sinh-deformed φ6 kink does not have vibrational modes

Summary

Introduction

The properties of kinks of the φ6 model have been fairly well studied. In particular, the interactions between the kink and the antikink were investigated both using the collective coordinate method and by numerically solving the equation of motion [1, 2, 3]. (The fact that the study of the properties of kinks of the sinh-deformed φ6 model is of interest was indicated in [10].) The preliminary results reported by Dr Aliakbar Moradi Marjaneh at the ICPPA-2020 conference indicate that in collisions of the kink and antikink of the sinh-deformed φ6 model resonance phenomena (escape windows) are present; see, e.g., [12] for details about escape windows. At first glance, this contradicts the fact that there are no vibrational modes in the excitation spectrum of the kink. Emphasize that this text cannot be regarded as a complete study, but only as a brief presentation of preliminary results

The φ6 model and its hyperbolic deformation

Conclusion