Heriot-Watt Mathematics Report Series
HWM02-38, 5 December 2002
On the existence of minima in the Skyrme model
B J Schroers
Well-separated Skyrme solitons of arbitrary degree
attract after a suitable relative rotation in space and
iso-space, provided the orders of the solitons' leading multipoles
do not differ by more than two.
I summarise the derivation of this result, obtained jointly with
Manton and Singer, and discuss to what extent its combination
with earlier results of Esteban allows one to deduce
the existence of minima of the Skyrme energy functional.
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