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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

The RPA long range correlations are known to play a significant role in understanding the depletion of single particle-hole states observed in (e, e') and (e, e'p) measurements. Here the Random Phase Approximation (RPA) theory, implemented…

Nuclear Theory · Physics 2009-11-11 M. Dupuis , S. Karataglidis , E. Bauge , J. P. Delaroche , D. Gogny

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant…

Nuclear Theory · Physics 2011-03-21 J. Daoutidis , P. Ring

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

Other Condensed Matter · Physics 2009-11-13 Hong Jiang , Eberhard Engel

We employ, within the framework of Skyrme energy-density functional theory, the subtracted second random-phase approximation, recently developed for charge-exchange excitations, to compute $\beta$-decay half-lives in four nuclei, $^{24}$O,…

Nuclear Theory · Physics 2025-06-24 Danilo Gambacurta , Marcella Grasso

The iterative quasi-particle-random-phase approximation (QRPA) method we previously developed to accurately calculate properties of individual nuclear states is extended so that it can be applied for nuclei with odd numbers of neutrons and…

Nuclear Theory · Physics 2014-06-03 B. G. Carlsson , J. Toivanen

We evaluate the second--order (beyond--mean--field) contribution to the equation of state of nuclear matter with the effective Skyrme force and use cutoff and dimensional regularizations to treat the ultraviolet divergence produced by the…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , X. Roca-Maza , G. Colò , K. Moghrabi

The problems related to the existence of the spurious dipole mode (SDM) in the self-consistent nuclear-structure models are considered. A method is formulated that allows to eliminate coupling of the SDM with the physical modes in the…

Nuclear Theory · Physics 2023-01-04 V. Tselyaev

It has been revealed through numerical calculations that the Second Random Phase Approximation (SRPA) with the Hartree-Fock solution as its reference state results in 1) spurious states at genuinely finite energy, contrary to common…

Nuclear Theory · Physics 2014-09-02 P. Papakonstantinou

A two-phonon version of the relativistic quasiparticle time blocking approximation (RQTBA-2) represents a new class of many-body models for nuclear structure calculations based on the covariant energy density functional. As a fully…

Nuclear Theory · Physics 2014-11-20 Elena Litvinova , Peter Ring , Victor Tselyaev

A characteristic feature of collective and particle-hole excitations in neutron-rich nuclei is that many of them couple to unbound neutron in continuum single-particle orbits. The continuum random phase approximation (cRPA) is a powerful…

Nuclear Theory · Physics 2021-09-15 Teruyuki Saito , Masayuki Matsuo

The self-consistent random phase approximation (RPA) based on a correlated realistic nucleon-nucleon interaction is used to evaluate correlation energies in closed-shell nuclei beyond the Hartree-Fock level. The relevance of contributions…

Nuclear Theory · Physics 2007-05-23 C. Barbieri , N. Paar , R. Roth , P. Papakonstantinou

We present the first applications of the second random-phase-approximation model with the finite-range Gogny interaction. We discuss the advantages of using such an interaction in this type of calculations where 2 particle-2 hole…

Nuclear Theory · Physics 2015-06-05 D. Gambacurta , M. Grasso , V. De Donno , G. Co' , F. Catara

We have developed a fully consistent framework for calculations in the Quasiparticle Random Phase Approximation (QRPA) with $NN$ interactions from the Similarity Renormalization Group (SRG) and other unitary transformations of realistic…

Nuclear Theory · Physics 2011-07-04 H. Hergert , P. Papakonstantinou , R. Roth

Concerning the su(2)-Lipkin model, the calculation of the excitation energy to the 1st excited-state gives rise to the following fact: The two results based on the exact treatment and the conventional random phase approximation (RPA) are in…

Nuclear Theory · Physics 2022-07-27 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme…

Nuclear Theory · Physics 2012-09-24 Kazuhito Mizuyama , Masayuki Matsuo , Yasuyoshi Serizawa

The dipole excitations for calcium and zirconium isotopes are studied within the fully self-consistent Hartree-Fock mean field incorporated with the renormalized random-phase approximation (RRPA) using the Skyrme interaction SLy5. The RRPA…

Nuclear Theory · Physics 2016-12-16 N. Quang Hung , N. Dinh Dang , T. V. Nhan Hao , L. Tan Phuc

We describe a new implementation of the quasiparticle random phase approximation (QRPA) in axially-symmetric deformed nuclei with Skyrme and volume-pairing energy-density functionals. After using a variety of tests to demonstrate the…

Nuclear Theory · Physics 2014-11-21 J. Terasaki , J. Engel

We propose a practicable method for describing linear dynamics of different finite Fermi systems. The method is based on a general self-consistent procedure for factorization of the two-body residual interaction. It is relevant for diverse…

Atomic and Molecular Clusters · Physics 2011-05-26 V. O. Nesterenko , J. Kvasil , P. -G. Reinhard

Within the 1D Hubbard model linear closed chains with various numbers of sites are considered in Self Consistent Random Phase Approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for 2+4n sites cases,…

Strongly Correlated Electrons · Physics 2009-11-10 Mohsen Jemai , Peter Schuck , Jorge Dukelsky , Raouf Bennaceur