A scheme is presented to find single-particle spectroscopic factors (SF) ofmagic and semimagic nuclei within the self-consistent theory of finite Fermisystems (TFFS). In addition to the energy dependence of the mass operator$\Sigma$ induced by the surface-phonon coupling effects which are commonlyconsidered in this problem, the in-volume energy dependence of the operator$\Sigma$ inherent in the self-consistent TFFS is also taken into account. Thisdependence arises due to the effect of high-lying particle-hole excitations andpersists in nuclear matter. The self-consistent basis of the energy densityfunctional method by Fayans {\it et al.} is used. Both the surface andin-volume contributions to the SFs turned out to be of comparable magnitude.The results for magic $^{40,48}$Ca and $^{208}$Pb nuclei and semimagic leadisotopes are presented.
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