Hadrons as Skyrmions in the presence of isospin chemical potential

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 ⩾ 140 MeV , suggesting the occurrence of a phase transition.