Approximate solutions for the skyrmion
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 Pad\'e approximants are we...
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Autores principales: | , , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2001
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/125900 |
Aporte de: |
id |
I19-R120-10915-125900 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Física Physics Ansatz Padé approximant Applied mathematics Quantum electrodynamics Closed-form expression Exact solutions in general relativity Convergence (routing) Power series Soliton Skyrmion |
spellingShingle |
Física Physics Ansatz Padé approximant Applied mathematics Quantum electrodynamics Closed-form expression Exact solutions in general relativity Convergence (routing) Power series Soliton Skyrmion Ponciano, Juan Adolfo Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto Approximate solutions for the skyrmion |
topic_facet |
Física Physics Ansatz Padé approximant Applied mathematics Quantum electrodynamics Closed-form expression Exact solutions in general relativity Convergence (routing) Power series Soliton Skyrmion |
description |
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 Pad\'e 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 two-point Pad\'e approximant procedure whereby the exact behavior 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. |
format |
Articulo Articulo |
author |
Ponciano, Juan Adolfo Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto |
author_facet |
Ponciano, Juan Adolfo Epele, Luis Nicolás Fanchiotti, Huner García Canal, Carlos Alberto |
author_sort |
Ponciano, Juan Adolfo |
title |
Approximate solutions for the skyrmion |
title_short |
Approximate solutions for the skyrmion |
title_full |
Approximate solutions for the skyrmion |
title_fullStr |
Approximate solutions for the skyrmion |
title_full_unstemmed |
Approximate solutions for the skyrmion |
title_sort |
approximate solutions for the skyrmion |
publishDate |
2001 |
url |
http://sedici.unlp.edu.ar/handle/10915/125900 |
work_keys_str_mv |
AT poncianojuanadolfo approximatesolutionsfortheskyrmion AT epeleluisnicolas approximatesolutionsfortheskyrmion AT fanchiottihuner approximatesolutionsfortheskyrmion AT garciacanalcarlosalberto approximatesolutionsfortheskyrmion |
bdutipo_str |
Repositorios |
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1764820452473044993 |