2006, Vol.13, pp.263-269
The Painleve property of the hedgehog configuration of the Skyrme model is investigated
with the aid of the the Ablowitz-Ramani-Segur algorithm (Painleve test).
The field equation seems to pass the Painleve test leaving two free parameters in
the solutions of Laurent-series-type. The convergence property of solutions of
Laurent-series-type is examined numerically up to 500th order.
The series seems to have a finite radius of convergence.
The profile function of the model is investigated and static energy of the model
is numerically calculated.
Key words:
Skyrme model, non-linear sigma model, Painleve test,
topological soliton
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