Atomic, Molecular, Nuclear, Particle and Plasma Physics
research_article
true
1995-03-01
1995-03
en
https://scigraph.springernature.com/explorer/license/
articles
http://link.springer.com/10.1007/BF01571317
The Skyrme model can be generalised to a situation where static fields are maps from one Riemannian manifold to another. Here we study a Skyrme model where physical space is two-dimensional euclidean space and the target space is the two-sphere with its standard metric. The model has topological soliton solutions which are exponentially localised. We describe a superposition procedure for solitons in our model and derive an expression for the interaction potential of two solitons which only involves the solitons' asymptotic fields. If the solitons have topological degree 1 or 2 there are simple formulae for their interaction potentials which we use to prove the existence of solitons of higher degree. We explicitly compute the fields and energy distributions for solitons of degrees between one and six and discuss their geometrical shapes and binding energies.
165-174
2019-04-11T13:27
Multisolitons in a two-dimensional Skyrme model
dimensions_id
pub.1035726100
1
W. J.
Zakrzewski
Department of Mathematical Sciences, South Road, DH1 3LE, Durham, UK
B. M. A. G.
Piette
Schroers
B. J.
Department of Mathematical Sciences, South Road, DH1 3LE, Durham, UK
Physical Sciences
aa2f9b98a575843adfad9b5aa1c2c2e89a64a636e80431cae26e0e7f8872f8ca
readcube_id
65
10.1007/bf01571317
doi
Department of Mathematical Sciences, South Road, DH1 3LE, Durham, UK
Zeitschrift für Physik C Particles and Fields
0170-9739
1431-5858
Springer Nature - SN SciGraph project