Geodesic
Moduli Space for Kink Collisions with Moving Center of Mass
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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We apply the collective coordinate model framework to describe collisions of a kink and an antikink with nonzero total momentum, i.e., when the solitons possess different velocities. The minimal moduli space with only two coordinates (the mutual distance and the position of the center of mass) is of a wormhole type, whose throat shrinks to a point for symmetric kinks. In this case, a singularity is formed. For non-zero momentum, it prohibits solutions where the solitons pass through each other. We show that this unphysical feature can be cured by enlarging the dimension of the moduli space, e.g., by the inclusion of internal modes.
Keywords: topological solitons, collective coordinates method
Mots-clés : moduli space. 
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     author = {Christoph Adam and Chris Halcrow and Katarzyna Oles and Tomasz Romanczukiewicz and Andrzej Wereszczy\'nski},
     title = {Moduli {Space} for {Kink} {Collisions} with {Moving} {Center} of {Mass}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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}
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Christoph Adam; Chris Halcrow; Katarzyna Oles; Tomasz Romanczukiewicz; Andrzej Wereszczyński. Moduli Space for Kink Collisions with Moving Center of Mass. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a53/

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