Size-dependence of the Lorentz friction for surface plasmons in metallic nanospheres

An inclusion of the Lorentz friction to the damping of plasmons in metallic nanosphere is performed within the random phase approximation quasiclassical approach. The explanation of the experimentally observed anomalous red shift of plasmon resonance frequency with increase of the metallic particle radius for a large size limit is given and the perfect coincidence of the measured plasmon resonance red shift for Au nanospheres with radii 10 - 75 nm and the theory with accurately included Lorentz friction is demonstrated.