Charge density of a positively charged vector boson may be negative

The charge density of vector particles, for example W(+/-), may change sign. The effect manifests itself even for a free propagation, when the energy of the W-boson satisfies epsilon>sqrt[2]m and the standing wave is considered. The charge density of W also changes sign in a vicinity of a Coulomb center. For an arbitrary vector boson (e.g., for spin 1 mesons), this effect depends on the g-factor. An origin of this surprising effect is traced to the electric quadrupole moment and spin-orbit interaction of vector particles; their contributions to the current have a polarization nature. The corresponding charge density equals rho(Pol)=-inverted Delta . P, where P is an effective polarization vector that depends on the quadrupole moment and spin-orbit interaction. This density oscillates in space, producing zero contribution to the total charge.