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The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

Materials Science · Physics 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

Nuclear $\beta$-decay in magic nuclei is investigated, taking into account the coupling between particle and collective vibrations,on top of self-consistent random phase approximation calculations based on Skyrme density functionals. The…

Nuclear Theory · Physics 2015-04-16 Yifei Niu , Zhongming Niu , Gianluca Colo , Enrico Vigezzi

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

Short-range corrections to long-range selected configuration interaction calculations are derived from perturbation theory considerations and applied to harmonium (with two to six electrons for some low-lying states). No fitting to…

Chemical Physics · Physics 2024-07-19 Anthony Scemama , Andreas Savin

Within the Energy Density Functional (EDF) approach, the use of mean-field wave-functions deliberately breaking (some) symmetries of the underlying Hamiltonian is an efficient and largely utilized way to incorporate static correlations.…

Nuclear Theory · Physics 2024-04-23 A. Porro , G. Colò , T. Duguet , D. Gambacurta , V. Somà

We investigate the possible signature of the presence of giant pairing states at excitation energy of about 10 MeV via two-particle transfer reactions induced by neutron-rich weakly-bound projectiles. Performing particle-particle RPA…

Nuclear Theory · Physics 2009-11-07 Lorenzo Fortunato

Final state interactions in two-particle interferometry is considered for two-particle potentials which are the Coulomb plus "strong" one. For a simple model of the source we provide a full numerical calculation of the correlation function…

Nuclear Theory · Physics 2009-10-09 D. Anchishkin , Ye. Anchishkin , U. Heinz

Low-energy strength is predicted for the isoscalar monopole response of neutron-rich Ni isotopes, in calculations performed using the microscopic Skyrme HF+RPA and relativistic RHB+RQRPA models. Both models, although based on different…

Nuclear Theory · Physics 2015-05-30 E. Khan , N. Paar , D. Vretenar

In this latest of our series of Skyrme-HFB mass models, HFB-16, we introduce the new feature of requiring that the contact pairing force reproduce at each density the $^1S_0$ pairing gap of neutron matter as determined in microscopic…

Nuclear Theory · Physics 2008-11-26 N. Chamel , S. Goriely , J. M. Pearson

Octupole excitations of atomic nuclei can be viewed as fluctuations around an equilibrium shape. These fluctuations in turn can be seen as probes of nuclear matter properties to the extent that the shape changes explore changes in…

Nuclear Theory · Physics 2026-04-13 Khlood Alharthi , Paul Stevenson

We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly…

Strongly Correlated Electrons · Physics 2008-03-26 S. Trebst , H. Monien , C. J. Hamer , Z. Weihong , R. R. P. Singh

The two-neutron RPA model has been used to describe helium isotopes with N (the neutron number) = 4, 6, 7, 8 in their ground and excited states. The properties of all these isotopes are given by a single system of equations so that their…

Nuclear Theory · Physics 2012-10-11 Benoit Laurent , Nicole Vinh Mau

The nuclear symmetry energy calculated in the RPA from the pairing plus symmetry force Hamiltonian with equidistant single-nucleon levels is for mass number A=48 approximately proportional to T(T+1.025), where T is the isospin quantum…

Nuclear Theory · Physics 2015-06-26 Kai Neergård

Recent progress in theory, experiment and observation challenges the mean field models using the conventional Skyrme interaction, suggesting that the extension of the conventional Skyrme interaction is necessary. In this work, by fitting…

Nuclear Theory · Physics 2017-01-04 Zhen Zhang , Lie-Wen Chen

A self-consistent calculation with variation after parity projection is proposed to study both ground and excited states of light nuclei. This procedure provides description of the ground state incorporating some correlation effects, and…

Nuclear Theory · Physics 2009-11-10 Hirofumi Ohta , Kazuhiro Yabana , Takashi Nakatsukasa

We present an analytical proof and numerical demonstrations of the equivalence of the correlation energy from particle-particle random phase approximation (pp-RPA) and ladder-couple-cluster-doubles (ladder-CCD). These two theories reduce to…

Chemical Physics · Physics 2013-11-01 Degao Peng , Stephan N. Steinmann , Helen van Aggelen , Weitao Yang

One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant Skyrme maps, for which we prove, using the method of…

Analysis of PDEs · Mathematics 2011-06-21 Dan-Andrei Geba , Daniel da Silva

The problem of the divergences which arise in beyond mean-field calculations, when a zero-range effective interaction is employed, has not been much considered so far. Some of us have proposed, quite recently, a scheme to regularize a…

Nuclear Theory · Physics 2014-10-22 Marco Brenna , Gianluca Colò , Xavier Roca-Maza

Motivated by the newly observed $^{39}$Na in experiments, systematic calculations of global nuclear binding energies with seven Skyrme forces are performed. We demonstrate the strong correlation between the two-neutron separation energies…

Nuclear Theory · Physics 2022-03-23 Q. Z. Chai , Y. Qiang , J. C. Pei