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Hadrons as Skyrmions in the presence of isospin chemical potential

M. Loewe·S. Mendizabal·J. C. Rojas
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Abstract

The stability of the Skyrmion solution in the presence of finite isospin chemical potential $μ$ is considered, showing the existence of a critical value $μ_{c} = 222.8$ MeV where the Skyrmion mass vanishes. Using the Hamiltonian formulation, in terms of collective variables, we discuss the behavior of different skyrmionic parameters as function of the isospin chemical potential ($μ$), such as the energy density, the isoscalar radius and the isoscalar magnetic radius. We found that the radii start to grow very fast for $μ\geq 140$ MeV, suggesting the occurrence of a phase transition.

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M. Loewe, S. Mendizabal, J. C. Rojas. 2006-08-28. Hadrons as Skyrmions in the presence of isospin chemical potential. https://doi.org/10.1016/j.nuclphysbps.2007.08.127

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