Euclidian dimension
configuration
evolution
relative velocity
different relative orientations
right angles
2021-11-01T18:45
skyrmions
Skyrme term
force
scattering
shape
orientation
instanton solutions
family
process
model
1991
collisions
scattering process
Skyrmions Scattering in (2+1) Dimensions
space
https://scigraph.springernature.com/explorer/license/
terms
low relative velocities
Skyrme-like term
addition
1991-01-01
false
angle
velocity
soliton configurations
solution
en
https://doi.org/10.1007/978-3-642-84570-3_43
same model
relative orientation
chapters
time evolution
325-329
We consider instanton solutions of the O(3)σ-model in two Euclidian dimensions modified by the addition of appropriate potential and skyrme-like terms as static solitons — skyrmions of the same model in (2 + 1) dimensions. We find that the addition of the potential and skyrme terms stabilises the skyrmions and that the force between them is repulsive. In the scattering process initiated at low relative velocities the skyrmions bounce back while at larger velocities they scatter at right angles. The scattering is quasi-elastic and the skyrmions preserve their shape after the collision. We study the time evolution of a family of two soliton configurations corresponding to different relative orientations of the skyrmions in the O(3) space.
large velocities
chapter
dimensions
Psychology and Cognitive Sciences
Antoniou
Ioannis
Springer Nature
Psychology
pub.1042446868
dimensions_id
10.1007/978-3-642-84570-3_43
doi
Piette
B.
Lambert
Franklin J.
978-3-540-54389-3
978-3-642-84570-3
Solitons and Chaos
W. J.
Zakrzewski
Springer Nature - SN SciGraph project
20500, Turku, Finland
20500, Turku, Finland
Department of Mathematical Sciences, Univerity of Durham, DH1 3LE, Durham, England