Resonant random phase approximation

Curutchet, P.; Vertse, T.; Liotta, R. J.

doi:10.1103/physrevc.39.1020

Cited by 79 publications

(49 citation statements)

References 39 publications

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“…5 is very similar to that obtained in 1364 Sn. In order to study in more detail the resonant neutron particle-hole transitions in the RPA response, it is useful to distinguish their contributions to the strength from those involving the other, 'continuum' states [31]. We shall limit ourselves to a simple analysis and consider a single-particle state in the WS cell to be 'resonant' if its quantum numbers (l, j) coincide with one of those listed in Table III, and if its energy lies in the range E res lj ±Γ res lj .…”

Section: Resultsmentioning

confidence: 99%

Finite-size effects and collective vibrations in the inner crust of neutron stars

et al. 2010

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We study the linear response of the inner crust of neutron stars within the Random Phase Approximation, employing a Skyrme-type interaction as effective interaction. We adopt the Wigner-Seitz approximation, and consider a single unit cell of the Coulomb lattice which constitutes the inner crust, with a nucleus at its center, surrounded by a sea of free neutrons. With the use of an appropriate operator, it is possible to analyze in detail the properties of the vibrations of the surface of the nucleus and their interaction with the modes of the sea of free neutrons, and to investigate the role of shell effects and of resonant states.

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Section: Resultsmentioning

confidence: 99%

Finite-size effects and collective vibrations in the inner crust of neutron stars

et al. 2010

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“…It is interesting to remark that the method of paper [45] was compared with the usual methods of nuclear physics (see [52], [53], [54]) in the case of a 208 P b (2d 5/2 ) proton state in a Woods-Saxon potential, including spin-orbits interaction with parameters as in paper [55], with an excellent agreement (see fig.3 of [45]). In this case, γ = 10 −1 M ev and t D ∼ 10 −20 s.…”

Section: Decoherence Time For Microscopic Systemsmentioning

confidence: 95%

Decoherence time in self-induced decoherence

Castagnino

Lombardi

2005

Phys. Rev. A

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A general method for obtaining the decoherence time in self-induced decoherence is presented. In particular, it is shown that such a time can be computed from the poles of the resolvent or of the initial conditions in the complex extension of the Hamiltonian's spectrum. Several decoherence times are estimated: 10 −13 − 10 −15 s for microscopic systems, and 10 −37 − 10 −39 s for macroscopic bodies. For the particular case of a thermal bath, our results agree with those obtained by the einselection (environment-induced decoherence) approach. PACS number(s) 03.65.Bz

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“…By taking into account a few resonant states close to the continuum threshold with the BCS method [6], the relativistic mean field (RMF) theory seems to be able to reproduce the RCHB results and describe the main effects of the continuum. It has also been shown that the contribution of the continuum to the giant resonances mainly comes from Gamow states [7,8]. Therefore, a proper treatment of resonant states is important for a deeper understanding of the properties in exotic nuclei.…”

Section: Introductionmentioning

confidence: 99%

Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

et al. 2004

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Single-particle resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. Taking the neutron resonant state ν1g 9/2 in 60 Ca as an example, we examine the analyticity of the eigenvalue and eigenfunction for the Dirac equation with respect to the coupling constant by means of a Padé approximant of the second kind. The RMF-ACCC approach is then applied to 122 Zr and, for the first time, this approach is employed to investigate both the energies, widths and wave functions for l = 0 resonant states close to the continuum threshold.Predictions are also compared with corresponding results obtained from the scattering phase shift method.

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Resonant random phase approximation

Cited by 79 publications

References 39 publications

Finite-size effects and collective vibrations in the inner crust of neutron stars

Finite-size effects and collective vibrations in the inner crust of neutron stars

Decoherence time in self-induced decoherence

Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory

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