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The relation between nuclear saturation and NN-correlations is examined. Nucleons bound in a nucleus have a reduced effective mass due to the mean field. This results in off-energy-shell scatterings modifying the free-space NN-interaction…

Nuclear Theory · Physics 2007-05-23 H. S. Köhler , S. A. Moszkowski

Pairing gaps for fermionic atoms in harmonic oscillator traps are calculated for a wide range of interaction strengths and particle number, and compared to pairing in nuclei. Especially systems, where the pairing gap exceeds the level…

Atomic Physics · Physics 2009-11-10 H. Heiselberg

The relativistic density functional with minimal density dependent nucleon-meson couplings for nuclei and nuclear matter is extended to include tensor couplings of the nucleons to the vector mesons. The dependence of the minimal couplings…

Nuclear Theory · Physics 2020-07-15 Stefan Typel , Diana Alvear Terrero

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

The influence of short-range correlations on the spectral distribution of neutrons is incorporated in the solution of the gap equation for the ${}^3P_2-{}^3F_2$ coupled channel in pure neutron matter. This effect is studied for different…

Nuclear Theory · Physics 2015-02-20 D. Ding , S. J. Witte , W. H. Dickhoff , H. Dussan , A. Rios , A. Polls

Fundamentals of energy density functional in nuclear physics are presented. Much attention is paid to a mathematically rigorous treatment of deriving the energy density functional. The specific features of the density functional used in…

Nuclear Theory · Physics 2012-11-30 Yoritaka Iwata , Joachim A. Maruhn

The influence of pairing correlations on the neutron root mean square (rms) radius of nuclei is investigated in the framework of self-consistent Skyrme Hartree-Fock-Bogoliubov calculations. The continuum is treated appropriately by the…

Nuclear Theory · Physics 2017-01-18 Ying Zhang , Ying Chen , Jie Meng , Peter Ring

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

An essentially "complete" description of the low-energy nuclear structure of the superfluid nucleus $^{120}$Sn and of its odd-$A$ neighbors is provided by the observations carried out with the help of Coulomb excitation and of one-- and of…

Nuclear Theory · Physics 2014-04-30 A. Idini , G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

The $^3P_2$-$^3F_2$ pairing model is generally considered to provide an adequate description of the superfluid states of neutron matter at densities some 2-3 times that of saturated symmetrical nuclear matter. The problem of solving the…

Nuclear Theory · Physics 2008-11-26 M. V. Zverev , J. W. Clark , V. A. Khodel

We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and…

Nuclear Theory · Physics 2017-10-27 K. Bennaceur , A. Idini , J. Dobaczewski , P. Dobaczewski , M. Kortelainen , F. Raimondi

Density scaling has a rich history in density functional theory, providing exact conditions for use in the construction of ever more accurate approximations to the unknown exchange-correlation functional. We define a conjugate potential…

Other Condensed Matter · Physics 2009-06-02 Peter Elliott , Kieron Burke

Recently Dijkman et al. (arXiv:2403.15007) proposed training classical neural density functionals via bulk pair-correlation matching. We show their method to be an efficient regularizer for neural functionals based on local learning of…

Soft Condensed Matter · Physics 2024-09-16 Florian Sammüller , Matthias Schmidt

The theory of nuclear excitations involving nucleon resonances is revisited and significantly extended to asymmetric nuclear matter and higher P- and S-wave $N^*$ resonances. Excited states of are described as superpositions of…

Nuclear Theory · Physics 2026-01-21 Horst Lenske

The analysis method proposed in Ref. \cite{rotival07a} is applied to characterize halo properties in finite many-fermion systems. First, the versatility of the method is highlighted by applying it to light and medium-mass nuclei as well as…

Nuclear Theory · Physics 2013-05-29 V. Rotival , K. Bennaceur , T. Duguet

We present a simple density functional theory for the solid phases of systems of particles interacting via soft-core potentials. In particular, we apply the theory to particles interacting via repulsive point Yukawa and Gaussian pair…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

A study of parameter sensitivity of nuclear energy density functionals, initiated in the first part of this work \cite{NV.16}, is extended by the inclusion of data on ground-state properties of finite nuclei in the application of the…

Nuclear Theory · Physics 2017-05-24 Tamara Nikšić , Marko Imbrišak , Dario Vretenar

The $^1S_0$-pairing gap in semi-infinite nuclear matter is evaluated microscopically using the effective pairing interaction recently found explicitly in the coordinate representation starting from the separable form of the Paris…

Nuclear Theory · Physics 2009-10-31 M. Baldo , U. Lombardo , E. Saperstein , M. Zverev

Short range correlations are introduced using unitary correlation method in a relativistic approach to the equation of state of the infinite nuclear matter in the framework of the Hartree-Fock approximation. It is shown that the…

Nuclear Theory · Physics 2011-07-19 P. K. Panda , João da Providência , Constança Providência

The two-nucleon spectral function in nuclear matter is studied using Correlated Basis Function perturbation theory, including central and tensor correlations produceded by a realistic hamiltonian. The factorization property of the…

Nuclear Theory · Physics 2009-10-31 Omar Benhar , Adelchi Fabrocini