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A modified RPA for open-shell nuclei
Institution:1. Department of Aerospace Engineering Sciences, University of Colorado, Boulder, CO 80309, United States;2. Department of Computer Science, University of Colorado, Boulder, CO 80309, United States;3. Department of Applied Mathematics and Statistics, Colorado School of Mines, 1500 Illinois St., Golden, CO 80401, United States;4. Department of Physics, University of California at Santa Barbara, Santa Barbara, CA 93106, United States
Abstract:A modified RPA suitable for open-shell nuclei is constructed using the Green function method. Unlike the standard RPA, this modification makes allowance for the spread of bound single-particle and single-hole states over more complex configurations which is done due to a more realistic approximation of single-particle Green functions. The calculations of the nucleon-nucleus S-matrix and of the probability amplitudes for the single-particle transitions of the nucleus from the ground state into scattering states are examined. For the separable effective forces these quantities are expressed in closed form.
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