Open AccessJournal Article10.1140/EPJA/I2008-10638-X

Self-consistent calculations within the Green’s function method including particle-phonon coupling and the single-particle continuum

- 15 Sep 2008

- Vol. 37, Iss: 3, pp 381-386

TL;DR: In this article, the Green's function in the Quasiparticle Time Blocking Approximation is applied to nuclear excitations in 132Sn and 208Pb and the calculations are performed self-consistently using a Skyrme interaction.

Abstract: The Green’s function method in the Quasiparticle Time Blocking Approximation is applied to nuclear excitations in 132Sn and 208Pb. The calculations are performed self-consistently using a Skyrme interaction. The method combines the conventional RPA with an exact single-particle continuum treatment and considers in a consistent way the particle-phonon coupling. We reproduce not only the experimental values of low-and high-lying collective states but we also obtain fair agreement with the data of non-collective low-lying states that are strongly influenced by the particle-phonon coupling.

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The Green ’ s function method in the Quasiparticle Time Blocking Approximation is applied to nuclear excitations in Sn and Pb.. The method combines the conventional RPA with an exact single-particle continuum treatment and considers in a consistent way the particle-phonon coupling.. The authors reproduce not only the experimental values of lowand high-lying collective states but they also obtain fair agreement with the data of noncollective low-lying states that are strongly influenced by the particle-phonon coupling.

Fig. 8. Isoscalar quadrupole strength in 132Sn. The dashed line represents the continuum RPA and the full line the QTBA result.

Fig. 9. Isovector quadrupole strength in 132Sn. The dashed line represents the continuum RPA and the full line the QTBA result.

Fig. 1. Graph (a) denotes the uncorrelated ph-propagator of the RPA. Corrections due to phonons are indicated in (b-d). The graphs (b) and (c) are corrections to the propagator and (d) is a contribution to the ph-interaction. The wavy lines and the solid lines denote the phonons and the single-particle propagators, respectively.

Table 1. The four lowest 3− states in 208Pb. Here we compare the results with and without phonons for the bare ph-energies and the solutions of RPA and QTBA. In both cases the singleparticle continuum is treated exactly.

Table 6. Giant dipole resonance in 132Sn. Here we compare the results with and without phonons and with the correct singleparticle continuum and discretized continuum states with the data [11]. In the case of QTBA* the isovector force has be increased by 10%.

Table 4. Same as in Table 1, but for the four lowest 4+ states in 208Pb.

Citations

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- 02 Feb 2016

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TL;DR: In this paper, a short review on the self-consistent RPA based on a energy-density functional of the Skyrme type is given, and an extension of the RPA where the coupling of phonons to the single-particle states is considered.

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Pygmy dipole resonance in nuclei

Alexander V. Avdeenkov, +2 more

- 23 Aug 2009

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TL;DR: A brief survey of the state of the modern microscopic theory of the pygmy dipole resonance in nuclei is given in this paper, in particular some unresolved problems are listed.

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The phonon-coupling model for Skyrme forces

N. Lyutorovich, +4 more

- 02 Feb 2016

- Physics of Atomic Nuclei

TL;DR: In this paper, a short review on the self-consistent RPA based on the energy-density functional of the Skyrme type is given, and an extension of the RPA where the coupling of phonons to the single-particle states is considered.

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Self-consistent calculations of the strength function and radiative neutron capture cross section for stable and unstable tin isotopes

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References

Journal Article•10.1016/S0375-9474(98)00180-8

A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities

Eric Chabanat, +4 more

- 25 May 1998

- Nuclear Physics

TL;DR: In this paper, the Skyrme effective forces were revisited in order to improve their isospin properties away from the β stability line, and these forces were specifically adjusted to reproduce finite nuclei properties.

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Journal Article•10.1016/0370-1573(85)90100-0

Dynamics of the shell model

C. Mahaux, +3 more

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- Physics Reports

TL;DR: The theoretical and experimental evidence which testifies to the existence of a strong energy dependence of this effective mass around the Fermi energy and near the nuclear surface is the central subject of the present review.

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489

•Journal Article•10.1016/J.CPC.2005.02.002

Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00)

K. Bennaceur, +3 more

- 01 Jun 2005

- Computer Physics Communications

TL;DR: The spherically symmetric solutions are physically meaningful only for magic and semi-magic nuclei, and the possibility of obtaining them within tens of seconds of the CPU makes them a valuable element for studying nuclei across the nuclear chart, including those near or at the drip lines.

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208

•Journal Article•10.1016/J.PHYSREP.2003.11.001

Extended theory of finite Fermi systems: collective vibrations in closed shell nuclei

Sergei Kamerdzhiev, +3 more

- 01 Mar 2004

- Physics Reports

TL;DR: In this article, an extension of Migdal's theory of Finite Fermi Systems has been developed and applied to collective vibrations in closed shell nuclei in the past 10 years, and the method has been applied to the calculation of the strength distribution and transition densities of giant electric and magnetic resonances in stable and unstable magic nuclei.

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Self-consistent calculations within the Green’s function method including particle-phonon coupling and the single-particle continuum

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Citations

The phonon-coupling model for Skyrme forces

Pygmy dipole resonance in nuclei

The phonon-coupling model for Skyrme forces

Self-consistent calculations of the strength function and radiative neutron capture cross section for stable and unstable tin isotopes

Pygmy dipole resonances

References

A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities

Dynamics of the shell model

Evidence for Pygmy and Giant Dipole Resonances in Sn 130 and Sn 132

Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00)

Extended theory of finite Fermi systems: collective vibrations in closed shell nuclei

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