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We discuss a general mean field plus random phase approximation (RPA) for describing composite systems at zero and finite temperature. We analyze in particular its implementation in finite systems invariant under translations, where for…

Quantum Physics · Physics 2011-04-20 Juan Mauricio Matera , Raul Rossignoli , Norma Canosa

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

The self-consistent random-phase approximation (SCRPA) is reexamined within a multilevel-pairing model with double degeneracy. It is shown that the expressions for occupation numbers used in the original version of SCRPA violate the…

Nuclear Theory · Physics 2009-11-10 Nguyen Dinh Dang

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

A systematic analysis of giant quadrupole resonances is performed for several nuclei, from $^{30}$Si to $^{208}$Pb, within the subtracted second random--phase--approximation (SSRPA) model in the framework of the energy--density--functional…

Nuclear Theory · Physics 2018-10-17 Olivier Vasseur , Danilo Gambacurta , Marcella Grasso

The asymptotic behaviour of the Hartree equation is studied near translation-invariant steady states. For short-range interaction kernels satisfying a uniform Penrose stability condition, including the screened Coulomb interaction,…

Analysis of PDEs · Mathematics 2025-06-18 Marnie Smith

Recently it has been demonstrated, considering Ni and Ca isotopes as prototypes, that the relativistic mean-field plus BCS (RMF+BCS) approach wherein the single particle continuum corresponding to the RMF is replaced by a set of discrete…

Nuclear Theory · Physics 2009-11-10 H. L. Yadav , M. Kaushik , H. Toki

In the calculation of the $K^+$-nucleus cross sections, the coupling of the mesons exchanged between the $K^+$ and the target nucleons to the polarization of the Fermi and Dirac seas has been taken into account. This polarization has been…

Nuclear Theory · Physics 2009-10-28 J. C. Caillon , J. Labarsouque

We propose a few selected experimental approaches to show that new-generation instruments can give a direct access to significant observables on the density dependence of the symmetry energy in the nuclear equation of state. The form of…

Nuclear Theory · Physics 2010-05-12 P. Napolitani , M. Colonna , F. Gulminelli , E. Galichet , S. Piantelli , G. Verde , E. Vient

We make use of a subtraction procedure, introduced to overcome double--counting problems in beyond--mean--field theories, in the second random--phase--approximation (SRPA) for the first time. This procedure guarantees the stability of SRPA…

Nuclear Theory · Physics 2015-09-09 D. Gambacurta , M. Grasso , J. Engel

The knowledge of the nuclear level density is necessary for understanding various reactions including those in the stellar environment. Usually the combinatorics of Fermi-gas plus pairing is used for finding the level density. Recently a…

Nuclear Theory · Physics 2016-06-22 Roman Sen'kov , Vladimir Zelevinsky

In the framework of the relativistic mean field model with Thomas-Fermi approximation, we study the structures of low density nuclear matter in a three-dimensional geometry with reflection symmetry. The numerical accuracy and efficiency are…

The self-consistent separable RPA (random phase approximation) method is formulated for Skyrme forces with pairing. The method is based on a general self-consistent procedure for factorization of the two-body interaction. It is relevant for…

Nuclear Theory · Physics 2016-03-01 V. O. Nesterenko , J. Kvasil , W. Kleinig , P. -G. Reinhard , D. S. Dolci

We investigate the impact of nuclear pasta on crustal structure and torsional oscillations using a Bayesian ensemble of unified neutron-star equations of state based on relativistic mean-field models constrained by nuclear experiments,…

Nuclear Theory · Physics 2026-02-24 Vishal Parmar , Ignazio Bombaci

We present a novel analytical method for calculating the spectral function and the density of states in speckle potentials, valid in the semiclassical regime. Our approach relies on stationary phase approximations, allowing us to describe…

Disordered Systems and Neural Networks · Physics 2016-08-24 Tony Prat , Nicolas Cherroret , Dominique Delande

Experimentally observed heaviest $N \approx Z$ nuclei, Ru isotopes, are investigated by the shell model on a spherical basis with the extended $P+QQ$ Hamiltonian. The energy levels of all the Ru isotopes can be explained by the shell model…

Nuclear Theory · Physics 2009-11-10 M. Hasegawa , K. Kaneko , T. Mizusaki , S. Tazaki

The accuracy of calculations of atomic Rydberg excitations cannot be judged by the usual measures, such as mean unsigned errors of many transitions. We show how to use quantum defect theory to (a) separate errors due to approximate…

Chemical Physics · Physics 2016-05-04 Yang Yang , Kieron Burke , Weitao Yang

We study nuclear high-spin states undergoing the transition to the fully stretched configuration with maximum angular momentum I_max within the space of valence nucleons. To this end, we perform a systematic theoretical analysis of…

Nuclear Theory · Physics 2008-11-26 M. Zalewski , W. Satula , W. Nazarewicz , G. Stoitcheva , H. Zdunczuk

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

We use the relativistic mean field (RMF) model to conduct a thorough analysis of the ground-state properties of $^{67\text{--}80}$Ge nuclei. Binding energies and neutron skin thicknesses are computed for a total of 14 neutron-rich Ge…

Nuclear Theory · Physics 2025-03-18 Jameel-Un Nabi , Wajeeha Khalid , Abdul Kabir , Syeda Anmol Rida
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