Elsevier

Nuclear Physics A

Volume 309, Issues 1–2, 16–23 October 1978, Pages 177-188
Nuclear Physics A

Time-dependent Hartree-Fock polarizability and random phase approximation sum rules: (I). Theory

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Abstract

The linear response of a nucleus in an external oscillating field has been studied in the framework of TDHF theory. The dynamic polarizability evaluated in TDHF theory has been related to RPA energies and matrix elements and a method to obtain RPA sum rules from the TDHF polarizability has been explicitly developed. This method can be applied to isoscalar as well as to isovector and spin excitations. Finally, a prescription to identify mass and restorting force parameters of various collective models with RPA sum rules is given.

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