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The magnitude and density-dependence of the non-spin dependent Landau-Migdal parameters are derived from Skyrme energy functionals and compared with the phenomenological ones. We perform RPA calculations with various approximations for the…

Nuclear Theory · Physics 2015-06-18 J. Speth , S. Krewald , F. Grümmer , P. -G. Reinhard , N. Lyutorovich , V. Tselyaev

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

It has been recently shown, that some Skyrme functionals can lead to non-converging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the…

Nuclear Theory · Physics 2015-05-20 A. Pastore , D. Tarpanov , D. Davesne , J. Navarro

The self-consistent separable RPA (random phase approximation) method is formulated for Skyrme forces with pairing. The method is based on a general self-consistent procedure for factorization of the two-body interaction. It is relevant for…

Nuclear Theory · Physics 2016-03-01 V. O. Nesterenko , J. Kvasil , W. Kleinig , P. -G. Reinhard , D. S. Dolci

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

We formulate the self-consistent separable random-phase-approximation (SRPA) method and specify it for Skyrme forces with pairing for the case of axially symmetric deformed nuclei. The factorization of the residual interaction allows to…

Nuclear Theory · Physics 2009-11-11 V. O. Nesterenko , W. Kleinig , J. Kvasil , P. Vesely , P. -G. Reinhard , D. S. Dolci

In the present contribution, we discuss the behavior of Skyrme forces when they are employed to study both neutron stars and giant resonance states in 208Pb within the fully self-consistent Random Phase Approximation (RPA). We point out…

Nuclear Theory · Physics 2009-06-12 G. Colo'

The self-consistent separable random-phase approximation (SRPA) model with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain…

Nuclear Theory · Physics 2011-05-26 V. O. Nesterenko , J. Kvasil , P. Vesely , W. Kleinig , P. -G. Reinhard

We analyze recent data on a long series of high-spin states in $^{208}$Pb with a self-consistent phonon-coupling model for nuclear excitations based on the Skyrme functionals. The model is the renormalized time-blocking approximation…

Nuclear Theory · Physics 2022-02-09 N. Lyutorovich , V. Tselyaev , J. Speth , G. Martinez-Pinedo , K. Langanke , P. -G. Reinhard

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

A fully self-consistent microscopic framework for evaluation of nuclear weak-interaction rates at finite temperature is introduced, based on Skyrme functionals. The single-nucleon basis and the corresponding thermal occupation factors of…

Nuclear Theory · Physics 2010-02-26 N. Paar , G. Colo , E. Khan , D. Vretenar

State-of-the-art models based on nuclear Density Functional Theory are successful in the description of nuclei throughout the whole nuclear chart. Among them, some differences arise regarding their accuracy. For a given nuclear model, this…

Nuclear Theory · Physics 2025-10-23 Pietro Klausner , Gianluca Colò , Xavier Roca-Maza , Enrico Vigezzi

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…

Nuclear Theory · Physics 2014-11-20 D. Gambacurta , M. Grasso , F. Catara

Neutrino emission and their transport of energy to the supernova shock region are sensitive to the physics of hot and dense nuclear matter, which is a complex problem due to the strong correlations induced by nuclear forces. We derive…

Nuclear Theory · Physics 2018-12-05 Alan A. Dzhioev , Gabriel Martínez-Pinedo

The spin-flip M1 giant resonance is explored in the framework of Random Phase Approximation on the basis of the Skyrme energy functional. A representative set of eight Skyrme parameterizations (SkT6, SkM*, SLy6, SG2, SkO, SkO', SkI4, and…

Nuclear Theory · Physics 2009-11-06 P. Vesely , J. Kvasil , V. O. Nesterenko , W. Kleinig , P. -G. Reinhard , V. Yu. Ponomarev

Isoscalar dipole strength distributions in spherical medium- and heavy-mass nuclei are calculated within random phase approximation (RPA) or quasiparticle RPA. Different Skyrme-type interactions corresponding to incompressibilities in the…

Nuclear Theory · Physics 2009-11-06 G. Colo` , N. Van Giai , P. F. Bortignon , M. R. Quaglia

We show that single-particle energies in doubly magic nuclei depend almost linearly on the coupling constants of the nuclear energy density functional. Therefore, they can be very well characterized by the linear regression coefficients,…

Nuclear Theory · Physics 2008-11-26 M. Kortelainen , J. Dobaczewski , K. Mizuyama , J. Toivanen

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

The isoscalar giant monopole resonances (ISGMR) and giant dipole resonances (ISGDR) in medium-heavy nuclei are investigated in the framework of HF+RPA and HF-BCS+QRPA with Skyrme effective interactions. It is found that pairing has little…

Nuclear Theory · Physics 2007-05-23 G. Colo` , N. Van Giai , P. F. Bortignon , M. R. Quaglia

The finite amplitude method (FAM), which we have recently proposed (T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007)), simplifies significantly the fully self-consistent RPA calculation. Employing the FAM, we are…

Nuclear Theory · Physics 2014-11-20 Tsunenori Inakura , Takashi Nakatsukasa , Kazuhiro Yabana
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