Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-08-10
Mod.Phys.Lett.A22:3003-3011,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 4 figures Small changes to the previous version and a new reference
Scientific paper
10.1142/S0217732307023535
A discussion of the stability of self gravitating Skyrmions, with a large winding number N, in a Schwarzschild type of metric, is presented for the case where an isospin chemical potential is introduced. It turns out that the chemical potential stabilizes the behavior of the Skyrmion discussed previously in the literature. This analysis is carried on in the framework of a variational approach using different ansaetze for the radial profile of the Skyrmion. We found a divergent behavior for the size of the Skyrmion, associated to a certain critical value $\mu_c$ of the chemical potential. At this point, the mass of the Skyrmion vanishes. $\mu_c$ is essentialy independent of gravitating effects. The stability of a large N skyrmion against decays into single particles is also discussed.
Loewe Marcelo
Mendizabal Sebastian
Rojas Javier Carvajal
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