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The kinetic approach is applied to calculate oscillations of a surfaceplasmon linewidth in a spheroidal metal nanoparticle embedded in any dielectricmedia. The principal attention is focused on the case, when the free electronpath is much greater than the particle size.  The linewidth of the plasmon resonance as a function of the particle radius,shape, dielectric constant of the surrounding medium, and the light frequencyis studied in detail. It is found that the resonance plasmon linewidthoscillates with increasing both the particle size and the dielectric constantof surrounding medium.  The main attention is paid to the electron surface-scattering contribution tothe plasmon decay.  All calculations the plasmon resonance linewidth are illustrated by theexample of the Na nanoparticles with different radii.  The results obtained in the kinetic approach are compared with the known onesfrom other models.  The role of the radiative damping is discussed as well.

Resonance Plasmon Linewidth Oscillations in Spheroidal Metallic Nanoparticle Embedded in a Dielectric Matrix