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Semi-classical treatment of proton-neutron monopole interaction

AuthorsRaduta, A. A.; Pacearescu, L.; Varan, V.; Sarriguren, Pedro CSIC ORCID; Moya de Guerra, Elvira ORCID
KeywordsFermi transitions
Pairing correlations
Issue Date14-Aug-2000
CitationNuclear Physics A 675, 503 (2000)
AbstractWe apply a time dependent variational method to a many-body Hamiltonian consisting of a spherical shelf model term, a proton-proton and neutron-neutron pairing interaction and a monopole particle-hole and particle-particle proton-neutron interaction. The variational state is a generalized BCS state where all T = 1 Cooper pairs with T-z = 0, +/- 1 are included. Stationary solutions correspond to generalized BCS equations and define the static ground state. The linearized equations of motion are of RPA type and describe small oscillations of the nuclear system around the static ground state. Numerical application is made for a one level case. In contrast to previous treatments, the proton-neutron particle-particle interaction is included first in the mean field equations, defining the quasiparticle approximation, and then the residual interaction is taken into account by the RPA approach. In this way one obtains a noncollapsing RPA ground state.
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