On quantum correction to the Skyrmion mass

Quantum correction to the ''classical'' nucleon mass is calculated taking into account radial fluctuations around the hedgehog Skyrme solution. The quantum correction pushes down the Skyrme-soliton mass if one choose the arbitrary mass scale of the theory M ∼ mρ, where mρ is the ρ-meson mass. The nucleon and Δ-isobar mass difference is obtained correctly when the Lagrangian parameter Eπ=125 MeV. The value Fπ is in a better agreement with pion-decay constant Fπ=186 MeV than the value Fπ=108 MeV that was obtained previously in the framework of the Skyrme model without the consideration of the vibrational quantum corrections