Abstract
Within the self-consistent theory of finite Fermi systems, the total single-particle spectroscopic factors for seven doubly magic nuclei of 40Ca, 48Ca, 56Ni, 78Ni, 100Sn, 132Sn, and 208Pb and for the 188–212Pb chain of semimagic even lead isotopes are calculated by the energy-density-functional method implemented with a functional in the form proposed by Fayans and his coauthors. The spectroscopic factor is expressed in terms of the Z factor, which is the residue of the single-particle Green’s function at the single-particle pole. The total Z factor calculated in the present study involves both effects of coupling to phonons and the volume Z factor, which is due to the fact that the mass operator features an energy dependence not associated with surface phonons. The volume Z factor is on the same order of magnitude as the phonon-coupling contribution. The volume effect depends only slightly on the nuclear species and on the single-particle state λ. On the contrary, the phonon contribution to the total spectroscopic factor changes upon going over from one state to another and from one nuclear species to another.
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Original Russian Text © N.V. Gnezdilov, E.E. Saperstein, S.V. Tolokonnikov, 2015, published in Yadernaya Fizika, 2015, Vol. 78, Nos. 1–2, pp. 27–37.
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Gnezdilov, N.V., Saperstein, E.E. & Tolokonnikov, S.V. Single-particle spectroscopic factors for spherical nuclei. Phys. Atom. Nuclei 78, 24–34 (2015). https://doi.org/10.1134/S1063778815010093
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DOI: https://doi.org/10.1134/S1063778815010093