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Related papers: N-Block Separable Random Phase Approximation: Appl…

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We investigate collective multipole excitations for closed shell nuclei from 16O to 208Pb using correlated realistic nucleon -nucleon interactions in the framework of the random phase approximation (RPA). The dominant short-range central…

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

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

Range-separated methods combining a short-range density functional with long-range random phase approximations RPAs with or without exchange response kernel are tested on rare-gas dimers and the S22 benchmark set of weakly interacting…

Chemical Physics · Physics 2014-04-10 Wuming Zhu , Julien Toulouse , Andreas Savin , János G. Angyán

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

We propose a practical method to solve the random-phase approximation (RPA) in the self-consistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing finite…

Nuclear Theory · Physics 2010-11-26 Takashi Nakatsukasa , Tsunenori Inakura , Kazuhiro Yabana

We present a technique which allows us to solve the Random Phase Approximation equations with finite-range interactions and treats the continuum part of the excitation spectrum without approximations. The interaction used in the…

Nuclear Theory · Physics 2011-05-13 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

A self-consistent random phase approximation (RPA) is proposed as an effective Hamiltonian method in Light-Front Field Theory (LFFT). We apply the general idea to the light-front massive Schwinger model to obtain a new bound state equation…

High Energy Physics - Theory · Physics 2009-10-31 Koji Harada

We present an efficient implementation of the random phase approximation (RPA) for molecular systems within the domain-based local pair natural orbital (DLPNO) framework. With optimized parameters, DLPNO-RPA achieves approximately 99.9%…

Chemical Physics · Physics 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

Mixing single and triple fermions an exact killing operator of the Coupled Cluster Doubles (CCD) wave function with good symmetry was found in \cite{Tohy13}. Using these operators with the equation of motion (EOM) method the so-called…

Nuclear Theory · Physics 2020-10-26 Mohsen Jemaï , Peter Schuck

We present here a modified hydrodynamical model for the collective electronic excitations of spherical atomic clusters. The model is applied to the giant-dipole plasmon mode of the free fullerene molecule.

Condensed Matter · Physics 2007-05-23 B. Carazza

A non-linear conjugate gradient optimization scheme is used to obtain excitation energies within the Random Phase Approximation (RPA). The solutions to the RPA eigenvalue equation are located through a variational characterization using a…

Materials Science · Physics 2011-11-21 Melissa J. Lucero , Anders M. N. Niklasson , Sergei Tretiak , Matt Challacombe

We present an optimized random phase approximation method (optRPA26) that significantly improves upon conventional RPA. The method employs an empirically constructed hybrid functional to generate DFT orbitals to evaluate the RPA correlation…

Chemical Physics · Physics 2026-02-06 Neung-Kyung Yu , Johannes Voss , Andrew J. Medford

Photoionization of a Xe atom confined inside C$_{60}$ has been studied using the random phase approximation with exchange (RPAE) method. The C$_{60}$ fullerene has been descr ibed by an attractive short range spherical well with potential…

Atomic Physics · Physics 2009-11-13 Zhifan Chen , Alfred Z. Msezane

We study collective plasmon excitations and screening of disordered single- and bilayer black phosphorus beyond the low energy continuum approximation. The dynamical polarizability of phosphorene is computed using a tight-binding model that…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Fengping Jin , Rafael Roldán , Mikhail I. Katsnelson , Shengjun Yuan

We present a comparative study of particle-hole and particle-particle channels of random-phase approximation (RPA) for molecular dissociations of different bonding types. We introduced a \textit{direct} particle-particle RPA scheme, in…

Materials Science · Physics 2019-06-05 Muhammad N. Tahir , Xinguo Ren

Roles of antinucleon degrees of freedom in the relativistic random phase approximation(RPA) are investigated. The energy-weighted sum of the RPA transition strengths is expressed in terms of the double commutator between the excitation…

Nuclear Theory · Physics 2015-12-14 Haruki Kurasawa , Toshio Suzuki

We present a low-scaling algorithm for the random phase approximation (RPA) with \textbf{k}-point sampling in the framework of tensor hypercontraction (THC) for electron repulsion integrals (ERIs). The THC factorization is obtained via a…

Materials Science · Physics 2023-12-01 Chia-Nan Yeh , Miguel A. Morales

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

Nuclear state densities are important inputs to statistical models of compound-nucleus reactions. State densities are often calculated with self-consistent mean-field approximations that do not include important correlations and have to be…

Nuclear Theory · Physics 2021-06-16 P. Fanto , Y. Alhassid

The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is…

Nuclear Theory · Physics 2008-11-26 Nguyen Van Giai , Haozhao Liang , Jie Meng
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