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The polaron binding energy and effective mass in a degenerate polar gas iscalculated in the fractional-dimensional approach under plasmon poleapproximation.The effect of carrier densities on the static and dynamicscreening correction of the electron-phonon interaction and electron-electroninteraction to the polaronic propertis is calculated from electronself-energies within the second-order perturbation method. The Hubbard localfield factor has been used for the static screening correction in the polaronicproperties. We found that polaronic properties decrease with increase withcarrier density and dimensionality of the system.

Manypolaron system in the Fractional Dimensional Space within Plasmon Pole Approximatiion