# Forces between kinks and antikinks with long-range tails

@article{Manton2019ForcesBK,
title={Forces between kinks and antikinks with long-range tails},
author={N. S. Manton},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2019}
}
• N. Manton
• Published 8 October 2018
• Physics
• Journal of Physics A: Mathematical and Theoretical
In a scalar field theory with a symmetric octic potential having a quartic minimum and two quadratic minima, kink solutions have long-range tails. We calculate the force between two kinks and between a kink and an antikink when their long-range tails overlap. This is a nonlinear problem, solved using an adiabatic ansatz for the accelerating kinks that leads to a modified, first-order Bogomolny equation. We find that the kink-kink force is repulsive and decays with the fourth power of the kink…

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