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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 approx. m/sub rho/, where m/sub rho/ is the rho-meson mass. The nucleon and delta -isobar mass difference is obtained correctly when the Lagrangian parameter E/sub pi /=125 MeV. The value F/sub pi / is in a better agreement with pion-decay constant F/sub pi /=186 MeV than the value F/sub pi /=108 MeV that was obtained previously in the framework of the Skyrme model without the consideration of the vibrational quantum corrections. 12 refs.; 2 figs.; 1 tab. (Atomindex citation 19:057174)