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The random-phase approximation has been used to compute the properties of parabolic two-dimensional quantum dots beyond the mean-field approximation. Special emphasis is put on the ground state correlation energy, the symmetry restoration…

Mesoscale and Nanoscale Physics · Physics 2009-02-06 Llorens Serra , Rashid G. Nazmitdinov , A. Puente

Recently we have proposed a reliable method to describe the rotational band in a fully microscopic manner. The method has recourse to the configuration-mixing of several cranked mean-field wave functions after the…

Nuclear Theory · Physics 2016-05-04 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

The quark potential model is extended to include the sea quark excitation using the random phase approximation (RPA). The effective quark interaction preserves the important Quantum Chromodynamics (QCD) properties -- chiral symmetry and…

High Energy Physics - Phenomenology · Physics 2018-01-17 Weizhen Deng , Xiaolin Chen , Dahai Lu , Liming Yang

We use correlation potential and many-body perturbation theory techniques to calculate spin-independent and nuclear spin-dependent parts of the parity nonconserving amplitudes of the transitions between the $6s_{1/2}$ ground state and the…

Atomic Physics · Physics 2015-05-27 V. A. Dzuba , V. V. Flambaum

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

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest elements for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2009-11-10 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad

We present an extension of the Goldstone-boson-exchange constituent quark model including additional interactions beyond the ones used hitherto. For the hyperfine interaction between the constituent quarks we assume pseudoscalar, vector,…

Nuclear Theory · Physics 2009-11-10 K. Glantschnig , R. Kainhofer , W. Plessas , B. Sengl , R. F. Wagenbrunn

Motivated by recent advances in the creation of few-body atomic Fermi gases with attractive interactions, we study theoretically the few-to-many-particle crossover of pair excitations, which for large particle numbers evolve into a mode…

Quantum Gases · Physics 2024-12-04 Fabian Resare , Johannes Hofmann

We comment on a recent application of the RPA method and its extensions to the case of the two-level pairing model by N. Dinh Dang [1].

Nuclear Theory · Physics 2009-11-10 A. Rabhi

The evolution of the low-lying E1 strength in proton-rich nuclei is analyzed in the framework of the self-consistent relativistic Hartree-Bogoliubov (RHB) model and the relativistic quasiparticle random-phase approximation (RQRPA). Model…

Nuclear Theory · Physics 2009-11-11 N. Paar , D. Vretenar , P. Ring

Beyond mean-field methods based on restoration of symmetries and configuration mixing by the generator coordinate method (GCM) enable to calculate on the same footing correlations in the ground state and the properties of excited states.…

Nuclear Theory · Physics 2009-11-11 A. P. Severyukhin , M. Bender , P. -H. Heenen

A fully-antisymmetrized random phase approximation calculation employing the continued fraction technique is performed to study nuclear matter response functions with the finite range Gogny force. The most commonly used parameter sets of…

Nuclear Theory · Physics 2016-09-13 A. De Pace , M. Martini

The practical usefulness of Relativistic Schr\"odinger Theory (RST) is tested by calculating approximately the energy difference between the excited singlet state $1s2s {}^1S_0$ and the ground state $1s^2 {}^1S_0$ of the helium-like ions…

Atomic Physics · Physics 2007-05-23 R. Graebeldinger , P. Schust , M. Mattes , M. Sorg

Properties of transitional Lu and spherical Ta ground-state proton emitters are calculated with the Relativistic Hartree Bogoliubov (RHB) model. The NL3 effective interaction is used in the mean-field Lagrangian, and pairing correlations…

Nuclear Theory · Physics 2009-10-31 G. A. Lalazissis , D. Vretenar , P. Ring

In this work we test the validity of a Hartree-Fock plus Bardeen-Cooper-Schrieffer model in which a finite-range interaction is used in the two steps of the calculation by comparing the results obtained to those found in a fully…

Nuclear Theory · Physics 2015-06-18 M. Anguiano , A. M. Lallena , G. Co' , V. De Donno

We study the structure of single $\Lambda$-hypernuclei using the Hartree--Fock--Bogoliubov method. Finite range Gogny-type forces are used to describe the nucleon-nucleon and $\Lambda$-nucleon interactions. Three different $\Lambda$-nucleon…

Nuclear Theory · Physics 2023-12-18 C. V. Nithish Kumar , L. M. Robledo , I. Vidana

Ground-state properties of spherical even-even nuclei $14\leq Z \leq 28$ and $N=18,20,22$ are described in the framework of Relativistic Hartree Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the mean-field…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , G. A. Lalazissis , P. Ring

We present a fully self-consistent computational framework composed by Hartree-Fock plus ran- dom phase approximation where the spin-orbit and Coulomb terms of the interaction are included in both steps of the calculations. We study the…

Nuclear Theory · Physics 2015-06-18 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

Processes related to electronically excited states are central in many areas of science, however accurately determining excited-state energies remains a major challenge in theoretical chemistry. Recently, higher energy stationary states of…

Chemical Physics · Physics 2020-06-05 Hugh G. A. Burton , Alex J. W. Thom , Pierre-François Loos

Low-lying nuclear states of Sm isotopes are studied in the framework of a collective Hamiltonian based on covariant energy density functional theory. Pairing correlation are treated by both BCS and Bogoliubov methods. It is found that the…

Nuclear Theory · Physics 2015-06-18 J. Xiang , Z. P. Li , J. M. Yao , W. H. Long , P. Ring , J. Meng