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From Kepler problem to skyrmions

Institute for Nuclear Research, Piteşti, Campului Str., No. 1, P. O. Box 78, Postal Code 115400, Mioveni, Arges County, Romania

Silver Lake, Ohio 44224, USA

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Maricel Agop

Lasers, Atoms and Molecules Physics Laboratory, University of Science and Technology, Villeneuve d’Ascq 59655, Lille, France

Physics Department, “Gheorghe Asachi” Technical University, Prof. Dr. Docent Dimitrie Mangeron Rd., No. 59A, 700050 Iasi, Romania

E-mail Address: m.agop@yahoo.com

Corresponding author.

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Irina Gatu

Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I No. 11, Iasi 700506, Romania

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Dan Dezideriu Iacob

Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I No. 11, Iasi 700506, Romania

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, and

Vlad Ghizdovăt

Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I No. 11, Iasi 700506, Romania

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https://doi.org/10.1142/S0217984916501530Cited by:4 (Source: Crossref)

Abstract

The classical treatment of the Kepler problem leaves room for the description of the space region of the central body by a hyperbolic geometry. If the correspondence between the empty space and the space filled with matter is taken to be a harmonic mapping, then the region of atomic nucleus, like the one of the Sun for the planetary system proper, is described by hyperbolic skyrmions. This fact makes possible the description of the nuclear matter within framework of general relativity. The classical “hedgehog” solution for skyrmions can then be classically interpreted in terms of the characterizations of intra-nuclear forces.

Keywords:

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