Microscopic nuclear dissipation

Yannouleas, Constantine; Dworzecka, M.; Griffin, James J.

doi:10.1016/0375-9474(83)90104-5

Cited by 106 publications

(59 citation statements)

References 46 publications

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“…We have performed Skyrme-SRPA calculations for describing collective and low-lying excited states in 16 O. The Skyrme interaction SGII is used.…”

Section: Discussionmentioning

confidence: 99%

“…Shell model can nicely describe these states due to the configuration mixing [36]. Cluster models are also able to well describe this state by assuming an α+ 12 C or a 4α structure for the nucleus 16 O (see Ref. [37] and references therein).…”

Section: B Dipole Strength Distributionsmentioning

confidence: 99%

“…Ab-initio coupled cluster investigations do not reproduce at all the energy of this state providing an excitation energy of 19.8 MeV [34]. Brown and Green have described the low-lying states in 16 O by mixing spherical and deformed states [35]. Shell model can nicely describe these states due to the configuration mixing [36].…”

Section: B Dipole Strength Distributionsmentioning

confidence: 99%

“…Some approximations have been adopted in the past, namely the SRPA equations have been reduced to a simpler second Tamm-Dancoff model (i.e. the matrix B is put equal to zero, see for instance [7][8][9][10]) and/or the equations have been solved with uncorrelated 2p2h states: the residual interaction terms in the matrix that couples 2p2h configurations among themselves have been neglected (diagonal approximation) [11][12][13][14][15][16][17]. Very recently, this problem has regained a new interest; it is becoming now numerically more accessible and the SRPA equations have been solved for closed-shell nuclei using an interaction derived from the Argonne V18 potential (with the Unitary Correlation Operator Method) [18,19] and for small metallic clusters in the jellium approximation [20].…”

Section: Introductionmentioning

confidence: 99%

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Collective nuclear excitations with Skyrme-second random-phase approximation

2010

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Second RPA calculations with a Skyrme force are performed to describe both high-and low-lying excited states in 16 O. The coupling between 1 particle-1 hole and 2 particle-2 hole as well as that between 2 particle-2 hole configurations among themselves are fully taken into account and the residual interaction is never neglected, not resorting therefore to a generally used approximate scheme where only the first kind of coupling is considered. The issue of the rearrangement terms in the matrix elements beyond standard RPA is addressed and discussed. As a general feature of second RPA results, a several-MeV shift of the strength distribution to lower energies is systematically found with respect to RPA distributions. A much more important fragmentation of the strength is also naturally provided by second RPA due to the huge number of 2 particle-2 hole configurations.A better description of the excitation energies of the low-lying 0 + and 2 + states is obtained with second RPA with respect to RPA.

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“…We have performed Skyrme-SRPA calculations for describing collective and low-lying excited states in 16 O. The Skyrme interaction SGII is used.…”

Section: Discussionmentioning

confidence: 99%

Section: B Dipole Strength Distributionsmentioning

confidence: 99%

Section: B Dipole Strength Distributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Collective nuclear excitations with Skyrme-second random-phase approximation

2010

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“…The eigenequation of the nonlinear higher RPA in this representation can be derived analogously to Eq. (15). Its extension to the symmetry-breaking formulation is straightforward, and we omit the explicit equations.…”

Section: B Nonlinear Higher Rpa With Symmetry-breaking Basismentioning

confidence: 99%

Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation

Terasaki

Smetana

Šimkovic

et al. 2017

Int. J. Mod. Phys. E

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It is shown that the random-phase approximation (RPA) method with its nonlinear higher generalization, which was previously considered as approximation except for a very limited case, reproduces the exact solutions of the Lipkin model. The nonlinear higher RPA is based on an equation nonlinear on eigenvectors and includes many-particle-many-hole components in the creation operator of the excited states. We demonstrate the exact character of solutions analytically for the particle number N = 2 and, numerically, for N = 8. This finding indicates that the nonlinear higher RPA is equivalent to the exact Schrödinger equation, which opens up new possibilities for realistic calculations in many-body problems.

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The Particle-Hole Interaction in Finite Nuclei

Dickhoff

1988

Condensed Matter Theories

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Microscopic nuclear dissipation

Cited by 106 publications

References 46 publications

Collective nuclear excitations with Skyrme-second random-phase approximation

Collective nuclear excitations with Skyrme-second random-phase approximation

Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation

The Particle-Hole Interaction in Finite Nuclei

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