Energy of motion of the mass center in the MIT bag model, the pion mass, the realistic radius of a nucleon quark-gluon core and the neutron and proton charge radii

A modified model of the spherical static MIT bag is suggested with account for the energy of motion of the mass center, exchange and eigenenergetic single-gluon contributions, positive Kazimir energy, surface and volume vacuum energies. Analytical and numerical investigation of the suggested model version is carried out. It is shown that radius of a quark-gluon bag for a nucleon is reduced to approximately 0.4 fm, pion mass is reduced up to its experimental value, and vacuum pressure is arised up to 2 GeV/fm3. It is shown in the case of small bag consideration of the chiral pion field and effects of the Lorentz transformation of the hadron wave function leads to the satisfactory agreement of charge radii of proton and neutron with an experiment. For the value of axial constant of neutron β-decay the rough estimation of gsub(A)=1.51 is obtained. Numerical calculations of masses and radii of basic states are presented for all known hadrons consisting of u, d, s, c, b quarks. As a result of these calculations description of masses with a root-mean-square deviation from experimental values of < Δm2 > sup(1/2) = 14 MeV is achieved