Subtraction method in the second random-phase approximation: First applications with a Skyrme energy functional

Abstract : We make use of a subtraction procedure, introduced to overcome double--counting problems in beyond--mean--field theories, in the second random--phase--approximation (SRPA) for the first time. This procedure guarantees the stability of SRPA (so that all excitation energies are real). We show that the method fits perfectly into nuclear density--functional theory. We illustrate applications to the monopole and quadrupole response and to low--lying $0^+$ and $2^+$ states in the nucleus $^{16}$O. We show that the subtraction procedure leads to: (i) results that are weakly cutoff dependent; (ii) a considerable reduction of the SRPA downwards shift with respect to the random--phase approximation (RPA) spectra (systematically found in all previous applications). This implementation of the SRPA model will allow a reliable analysis of the effects of 2 particle--2 hole configurations ($2p2h$) on the excitation spectra of medium--mass and heavy nuclei.
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Submitted on : Friday, September 4, 2015 - 2:49:14 PM
Last modification on : Friday, March 29, 2019 - 9:12:13 AM

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D. Gambacurta, M. Grasso, J. Engel. Subtraction method in the second random-phase approximation: First applications with a Skyrme energy functional. Physical Review C, American Physical Society, 2015, 92 (3), pp.034303. ⟨10.1103/PhysRevC.92.034303⟩. ⟨in2p3-01193119⟩

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