Abstract
A simple microscopic formula is derived for the renormalization factor Z of Green’s function on the basis of the self-consistency relation of many-body theory and the Brueckner method. This formula involves the derivative of the Brueckner G matrix with respect to energy. Based on the analysis of the properties of the G matrix for a slab of nuclear matter, the G matrix is approximately replaced by the off-mass-shell T matrix taken for free NN scattering at a negative energy E equal to the doubled chemical potential μ of the nucleus under consideration. The Z factor thus calculated depends strongly on μ and decreases with |μ|. This effect is important for analyzing the properties of atomic nuclei near the drip line, where μ is zero.
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 8, 2001, pp. 425–429.
Original Russian Text Copyright © 2001 by Zverev, Saperstein.