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: Ponciano, Juan Adolfo, Epele, Luis Nicolás, Fanchiotti, Huner, García Canal, Carlos Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Física
Physics
Ansatz
Padé approximant
Applied mathematics
Quantum electrodynamics
Closed-form expression
Exact solutions in general relativity
Convergence (routing)
Power series
Soliton
Skyrmion
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125900
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125900
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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