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Starting from the Random Phase Approximation (RPA), we generalize the schematic model of separable interaction defning subspaces of ph excitations with different coupling constants between them. This ansatz simplifies the RPA eigenvalue…

Atomic and Molecular Clusters · Physics 2016-08-24 D. I. Palade , V. Baran

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA…

Nuclear Theory · Physics 2021-08-25 P. Schuck , D. S. Delion , J. Dukelsky , M. Jemai , E. Litvinova , G. Roepke , M. Tohyama

The Green's function method in the \emph{Quasiparticle Time Blocking Approximation} is applied to nuclear excitations in $^{132}$Sn and $^{208}$Pb. The calculations are performed self-consistently using a Skyrme interaction. The method…

Nuclear Theory · Physics 2008-11-26 N. Lyutorovich , J. Speth , A. Avdeenkov , F. Gruemmer , S. Kamerdzhiev , S. Krewald , V. I. Tselyaev

We extend the capabilities of correlation energy functionals based on the adiabatic-connection fluctuation-dissipation theorem by implementing the analytical atomic forces within the random phase approximation (RPA), in the context of plane…

Materials Science · Physics 2026-03-19 Damian Contant , Maria Hellgren

The dynamical effects of ground state correlations for excitation energies and transition strengths near the superfluid phase transition are studied in the soluble two level pairing model, in the context of the particle-particle self…

Nuclear Theory · Physics 2008-11-26 E. J. V. de Passos , A. F. R. de Toledo Piza , F. Krmpotić

Second RPA (SRPA) calculations of nuclear response are performed and analyzed. Unlike in most other SRPA applications, the ground state, approximated by the Hartree-Fock (HF) ground state, and the residual couplings are described by the…

Nuclear Theory · Physics 2010-04-06 P. Papakonstantinou , R. Roth

The consistency condition is tested within the particle-particle random-phase approximation (RPA), renormalized RPA (RRPA) and the self-consistent RPA (SCRPA) making use of the Richardson model of pairing. The two-particle separation energy…

Nuclear Theory · Physics 2009-11-11 Nguyen Dinh Dang

Self Consistent Quasiparticle Random Phase Approximation (SCQRPA) is considered in application to the Fermi transitions within the O(5) model. It is demonstrated that SCQRPA improves on renormalized QRPA (RQRPA), a method that has recently…

Nuclear Theory · Physics 2009-10-31 F. Krmpotic , E. J. V. de Passos , D. S. Delion , J. Dukelsky , P. Schuck

We derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

Strongly Correlated Electrons · Physics 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

The fully self-consistent Random Phase Approximation (RPA) is constructed within the Unitary Correlation Operator Method (UCOM), which describes the dominant interaction-induced short-range central and tensor correlations by a unitary…

Nuclear Theory · Physics 2009-11-11 N. Paar , P. Papakonstantinou , R. Roth , H. Hergert

Covariant density functional theory, in the framework of self-consistent Relativistic Mean Field (RMF) and Relativistic Random Phase approximation (RPA), is for the first time applied to axially deformed nuclei. The fully self-consistent…

Nuclear Theory · Physics 2009-09-15 D. Pena Arteaga , P. Ring

The self-consistent quasiparticle RPA (SCQRPA) is constructed to study the effects of fluctuations on pairing properties in nuclei at finite temperature and z-projection M of angular momentum. Particle-number projection (PNP) is taken into…

Nuclear Theory · Physics 2011-02-18 N. Dinh Dang , N. Quang Hung

The random-phase-approximation (RPA) method with separable residual forces (SRPA) is proposed for the description of multipole electric oscillations of valence electrons in deformed alkali metal clusters. Both the deformed mean field and…

Atomic and Molecular Clusters · Physics 2009-11-07 W. Kleinig , V. O. Nesterenko , P. G. Reinhard

The accurate computation of non-linear optical properties (NLOPs) in large polymers requires accounting for electronic correlation effects with a reasonable computational cost. The Random Phase Approximation (RPA) used in the adiabatic…

The finite amplitude method (FAM) is a very efficient approach for solving the fully self-consistent random-phase approximation (RPA) equations. We use FAM to rederive the RPA matrices for general Skyrme-like functionals, calculate the…

Nuclear Theory · Physics 2022-04-27 Hirokazu Sasaki , Toshihiko Kawano , Ionel Stetcu

A microscopic model aimed at the description of charge-exchange nuclear excitations along isotopic chains which include open-shell systems, is developed. It consists of quasiparticle random phase approximation (QRPA) made on top of…

Nuclear Theory · Physics 2009-02-18 S. Fracasso , G. Colo`

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for…

Nuclear Theory · Physics 2009-11-23 Kenichi Yoshida , Nguyen Van Giai

The partition function by means of the static path approximation (SPA) plus the random-phase approximation (RPA) treatment can be written as a contour integral form without solving the RPA equations for a separable interaction. This method…

Nuclear Theory · Physics 2009-11-11 K. Kaneko , M. Hasegawa

The Self-Consistent RPA (SCRPA) approach is elaborated for cases with a continuously broken symmetry, this being the main focus of the present article. Correlations beyond standard RPA are summed up correcting for the quasi-boson…

Strongly Correlated Electrons · Physics 2016-03-23 D. S. Delion , P. Schuck , M. Tohyama

Self-Consistent RPA is rederived in a consistent way with the help of the Coupled Cluster ground state wave function truncated at the two body level. An exact killing operator for this wave function is introduced allowing for a detailed…

Nuclear Theory · Physics 2015-06-16 M. Jemai , D. S. Delion , P. Schuck