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The application of the Correlated basis function theory and of the Fermi hypernetted chain technique, to the description of the ground state of medium-heavy nuclei is reviewed. We discuss how the formalism, originally developed for…

Nuclear Theory · Physics 2019-08-14 F. Arias de Saavedra , C. Bisconti , G. Co' , A. Fabrocini

The semi-classical approach leading to the Thomas-Fermi (TF) model provides a simple universal thermodynamic description of the electronic cloud surrounding the nucleus in an atom. This model is known to be exact at the limit of…

Materials Science · Physics 2016-09-06 Eyal Segev , Doron Gazit

Ground-state properties of exotic even-even nuclei with extreme neutron-to-proton ratios are described in the framework of the self-consistent mean-field theory with pairing formulated in coordinate space. This theory properly accounts for…

Nuclear Theory · Physics 2008-11-26 J. Dobaczewski , W. Nazarewicz , T. R. Werner , J. F. Berger , C. R. Chinn , J. Dechargé

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction PK1. Considering well-known problem that the pairing gap at Fermi surface calculated…

Nuclear Theory · Physics 2010-11-23 Jun Li , Bao Yuan Sun , Jie Meng

The recently developed semiclassical variational Wigner-Kirkwood (VWK) approach is applied to finite nuclei using external potentials and self-consistent mean fields derived from Skyrme interactions and from relativistic mean field theory.…

Nuclear Theory · Physics 2010-12-23 M. Centelles , P. Schuck , X. Vinas

A semi-microscopic model for nucleon pairing in nuclei is presented starting from the ab intio BCS gap equation with Argonne v18 force and the self-consistent Energy Density Functional Method basis characterized with the bare nucleon mass.…

Nuclear Theory · Physics 2011-08-11 S. S. Pankratov , M. V. Zverev , M. Baldo , U. Lombardo , E. E. Saperstein

Pairing effects in non-uniform nuclear matter, surrounded by electrons, are studied in the protoneutron star early stage and in other conditions. The so-called nuclear pasta phases at subsaturation densities are solved in a Wigner-Seitz…

Nuclear Theory · Physics 2021-11-30 U. J. Furtado , S. S. Avancini , J. R. Marinelli

We report results of the equation of state of neutron matter in the low--density regime, where the Fermi wave vector ranges from $0.4 fm^{-1} \leq k_F \leq 1.0 fm^{-1}$. Neutron matter in this regime is superfluid because of the strong and…

Nuclear Theory · Physics 2009-10-29 S. Gandolfi , A. Yu. Illarionov , F. Pederiva , K. E. Schmidt , S. Fantoni

We study the structure of nucleon pairs within a simple model consisting of a square well in three dimensions and a delta-function residual interaction between two weakly-bound particles at the Fermi surface. We include the continuum by…

Nuclear Theory · Physics 2011-05-12 J. R. Bennett , J. Engel , S. Pittel

The structure and density dependence of the pairing gap in infinite matter is relevant for astrophysical phenomena and provides a starting point for the discussion of pairing properties in nuclear structure. Short-range correlations can…

Nuclear Theory · Physics 2017-10-27 A. Rios , A. Polls , W. H. Dickhoff

An approach is proposed to nuclear pairing at finite temperature and angular momentum, which includes the effects of the quasiparticle-number fluctuation and dynamic coupling to pair vibrations within the self-consistent quasiparticle…

Nuclear Theory · Physics 2009-11-13 N. Dinh Dang , N. Quang Hung

A simple model, in which nuclei are represented as homogeneous spheres of symmetric nuclear matter, is used to study the effects of a self-consistent pairing interaction on the nuclear response. Effects due to the finite size of nuclei are…

Nuclear Theory · Physics 2015-05-18 V. I. Abrosimov , D. M. Brink , A. Dellafiore , F. Matera

The problem of pairing in the $^{1}$S$_{0}$ channel of finite nuclei is revisited. In nuclear matter forces of separable form can be adjusted to the bare nuclear force, to any phenomenological pairing interaction such as the Gogny force or…

Nuclear Theory · Physics 2010-11-23 Y. Tian , Z. Y. Ma , P. Ring

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

Low-density nuclear matter at finite temperature is considered representing the strong coupling situation of a highly correlated fermion system. One-particle se lf-energies and the density of states in the vicinity of the pairing transition…

Nuclear Theory · Physics 2009-10-31 A. Schnell , G. Roepke , P. Schuck

We calculate the elementary excitations and pairing of a trapped atomic Fermi gas in the superfluid phase. The level spectra and pairing gaps undergo several transitions as the strength of the interactions between and the number of atoms…

Condensed Matter · Physics 2014-10-13 G. M. Bruun , H. Heiselberg

The evolution of the pairing correlations from closed shell to middle shell nuclei is analyzed with a Finite Range Density Dependent interaction in the Sn isotopes. As theoretical approaches we use the Hartree-Fock-Bogoliubov, the…

Nuclear Theory · Physics 2009-11-07 M. Anguiano , J. L. Egido , L. M. Robledo

We present a systematic theory of dissipation in finite Fermi systems like nuclei and metallic clusters. This theory is based on the application of semiclassical methods and random matrix theory to linear response of many-body systems. The…

Nuclear Theory · Physics 2009-10-31 Sudhir R. Jain

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

We study a system of $N$ fermions in the regime where the intensity of the interaction scales as $1/N$ and with an effective semi-classical parameter $\hbar=N^{-1/d}$ where $d$ is the space dimension. For a large class of interaction…

Mathematical Physics · Physics 2019-05-20 Jan Philip Solovej , S{ø}ren Fournais , Mathieu Lewin