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arXiv · 1407.3357

Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems

N. V. Gnezdilov·E. E. Saperstein·S. V. Tolokonnikov
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Abstract

A scheme is presented to find single-particle spectroscopic factors (SF) of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems (TFFS). In addition to the energy dependence of the mass operator $Σ$ induced by the surface-phonon coupling effects which are commonly considered in this problem, the in-volume energy dependence of the operator $Σ$ inherent in the self-consistent TFFS is also taken into account. This dependence arises due to the effect of high-lying particle-hole excitations and persists in nuclear matter. The self-consistent basis of the energy density functional method by Fayans {\it et al.} is used. Both the surface and in-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 lead isotopes are presented.

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N. V. Gnezdilov, E. E. Saperstein, S. V. Tolokonnikov. 2014-09-20. Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems. https://doi.org/10.1209/0295-5075%2F107%2F62001

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