Properties of single-particle excitation spectrum for a normal Fermi system at low temperatures

A study is made of the properties of the single-particle excitation spectrum of a normal Fermi system at low temperatures. It is shown that in the immediate neighborhood of the Fermi surface, $|p-p_F|p_F^3\ll m^2\theta^2\alpha^2$, the maxima of the spectral density are strongly smoothed out.