Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-06-14
Phys.Rev. C64 (2001) 045205
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, 5 figures. 1 Reference added
Scientific paper
10.1103/PhysRevC.64.045205
We reconsider the Euler-Lagrange equation for the Skyrme model in the hedgehog ansatz and study the analytical properties of the solitonic solution. In view of the lack of a closed form solution to the problem, we work on approximate analytical solutions. We show that Pade approximants are well suited to continue analytically the asymptotic representation obtained in terms of a power series expansion near the origin, obtaining explicit approximate solutions for the Skyrme equations. We improve the approximations by applying the 2-point Pade approximant procedure whereby the exact behaviour at spatial infinity is incorporated. An even better convergence to the exact solution is obtained by introducing a modified form for the approximants. The new representations share the same analytical properties with the exact solution at both small and large values of the radial variable r.
Epele Luis N.
Fanchiotti Huner
Garcia Canal Carlos A.
Ponciano Juan A.
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