Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-08-02
Phys.Lett. B632 (2006) 512-516
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 7 figures
Scientific paper
10.1016/j.physletb.2005.10.082
We discuss the stability of the Skyrmion solution in the presence of a finite isospin chemical potential $\mu$. Solving numerically the mass of the Skyrmion as function of $\mu$, we find a critical value $\mu_c=222.8$ MeV where the Skyrmion mass vanishes. We compare the exact numerical treatment with an analytical discussion based on a special shape for the profile of the Skyrmion due to Atiyah and Manton. The extension of this ansatz for finite $\mu$ works quite well for $\mu<121$ MeV. Then, for small values of $\mu$, where the analytical approach is valid, we consider the possibility of having an angular deformation for the Skyrmionic profile, which is possible for finite values of $\mu$. This is however, a small effect. Finally we introduce finite temperature corrections, which strength the instability induced by the chemical potential, finding the dependence of the critical temperature on $\mu$.
Loewe Marcelo
Mendizabal Sebastian
Rojas Javier Carvajal
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