The exactly solvable self–gravitating fermion cluster in two dimensions
J. Sañudoª and A.F. Pachecob
ª Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain, Tel: 34924289525, FAX: 34924289651, e–mail: jsr@unex.es
b Facultad de Ciencias and BIFI, Universidad de Zaragoza, 50009 Zaragoza, Spain, Tel: 34976761135, FAX: 34976761140, e–mail: amalio@unizar.es
Recibido el 23 de junio de 2006 ]]> Aceptado el 9 de agosto de 2006
Abstract
The mathematical model of a two–dimensional self–gravitating cluster formed by degenerate fermions, is solved analytically. The fermions interact with each other through a logarithmic potential. The radius of this system is shown to be constant, not depending on the total number of fermions that constitute the cluster.
Keywords: Thomas–Fermi model; white dwarfs.
Resumen
En este artículo resolvemos analíticamente el modelo matemático de un cúmulo autogravitante de fermiones degenerados, en dos dimensiones. Los fermiones interactúan entre ellos mediante un potencial logarítmico. El radio resultante para el cúmulo no depende del número total de fermiones que lo integran.
Descriptores: Modelo de Thomas Fermi; enana blanca.
]]> PACS: 31.5.Bs; 97.20.Rp
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Acknowledgements
This work was supported in part by the Spanish DGICYT under Project FIS2005–06237.
References
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