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Using the Dirac-Hartree-Fock-Bogoliubov approximation to study nuclear pairing, we have found the short-range correlations of the Dirac $^1$S$_0$ pairing fields to be essentially identical to those of the two-nucleon virtual state at all…

Nuclear Theory · Physics 2016-08-16 B. Funke Haas , T. Frederico , B. V. Carlson , F. B. Guimarães

The role of pairing correlations for nucleon pairs with isospin $T=1$ and $T=0$ is investigated for nuclei in the mass region $12 \leq A \leq 42$. For that purpose the two-nucleon densities resulting from nuclear shell-model calculations in…

Nuclear Theory · Physics 2023-06-21 H. Müther , Praveen C. Srivastava

We describe \emph{zero range} (contact) interactions, weak and strong. Strong contact leads to the Efimov effect in Low Energy Nuclear Physics, weak contact leads to Bose-Einstein condensation and to the presence of Cooper pairs in…

Mathematical Physics · Physics 2020-03-27 Gianfausto Dell'Antonio

We study the ^{1}S_{0} proton pairing gap in neutron star matter putting emphasis on influence of the Dirac effective mass and the proton fraction on the gap within the relativistic Hartree-Bogoliubov model. The gap equation is solved using…

Nuclear Theory · Physics 2009-11-10 Tomonori Tanigawa , Masayuki Matsuzaki , Satoshi Chiba

S-wave pairing in neutron matter is studied within an extension of correlated basis function (CBF) theory to include the strong, short range spatial correlations due to realistic nuclear forces and the pairing correlations of the Bardeen,…

Nuclear Theory · Physics 2008-11-26 Adelchi Fabrocini , Stefano Fantoni , Alexey Yu. Illarionov , Kevin E. Schmidt

We explore low-density neutron matter and its behavior in proximity to the unitary limit. To that end, we construct unitary nucleon-nucleon potentials with infinite 1S0 neutron-neutron scattering lengths. We discuss the Berstch parameter in…

Nuclear Theory · Physics 2023-08-08 Francesca Sammarruca

We calculate nucleon-nucleon cross sections in the nuclear medium with unequal densities of protons and neutrons. We use the Dirac-Brueckner-Hartree-Fock approach together with realistic nucleon-nucleon potentials. We examine the effect of…

Nuclear Theory · Physics 2007-05-23 F. Sammarruca , P. Krastev

An effective nucleon-nucleon interaction calculated in nuclear matter from the Bonn potential has been parametrized in terms of a local density- and energy-dependent two-body interaction. This allows to calculate the real part of the…

Nuclear Theory · Physics 2009-10-30 G. Bartnitzky , H. Clement , P. Czerski , H. Müther , F. Nuoffer , J. Siegler

A fully self-consistent treatment of short-range correlations in nuclear matter is presented. Different implementations of the determination of the nucleon spectral functions for different interactions are shown to be consistent with each…

Nuclear Theory · Physics 2009-11-10 Y. Dewulf , W. H. Dickhoff , D. Van Neck , E. R. Stoddard , M. Waroquier

We derive the spectrum and the total cross section of electromagnetic $e^{+}e^{-}$ pair production in the collisions of two nuclei at low relative velocity $\beta$. Both free-free and bound-free $e^{+}e^{-}$ pair production is considered.…

Atomic Physics · Physics 2016-11-29 R. N. Lee , A. I. Milstein

We discuss pairing correlations in weakly bound neutron rich nuclei, by using the coordinate-space Hartree-Fock-Bogolyubov approach which allows to take properly into account the coupling to particle continuum. We show that the additional…

Nuclear Theory · Physics 2009-11-06 K. Bennaceur , J. Dobaczewski , M. Ploszajczak

We investigate how the presence of a localized impurity in a Bose-Einstein condensate of trapped cold atoms that interact with each other weakly and repulsively affects the profile of the condensed and excited components at zero…

Quantum Gases · Physics 2019-09-04 Junichi Takahashi , Ryosuke Imai , Eiji Nakano , Kei Iida

The Bose-Einstein condensation (BEC) temperature $T_{c}$ of Cooper pairs (CPs) created from a very general interfermion interaction is determined for a {\it linear}, as well as the usual quadratic, energy {\it vs}% center-of-mass momentum…

Superconductivity · Physics 2017-08-23 F. J. Sevilla , M. Grether , M. Fortes , M. de Llano , O. Rojo , M. A. Solís , A. A. Valladares

Nuclei in dense matter are influenced by the medium. In the cluster mean field approximation, an effective Schr\"odinger equation for the $A$-particle cluster is obtained accounting for the effects of the surrounding medium, such as…

Nuclear Theory · Physics 2015-05-28 G. Röpke

Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars. In contrast to traditional superfluids and superconductors,…

Nuclear Theory · Physics 2008-11-26 Alexandros Gezerlis , J. Carlson

The paper is a continuation of our previous work on the strong convergence to equilibrium for the spatially homogeneous Boltzmann equation for Bose-Einstein particles for isotropic solutions at low temperature. Here we study the influence…

Analysis of PDEs · Mathematics 2025-01-27 Shuzhe Cai , Xuguang Lu

In this work we investigate the possible condensation of tetraneutron resonant states in the lower density neutron rich gas regions inside Neutron Stars (NSs). Using a relativistic density functional approach we characterize the system…

Nuclear Theory · Physics 2019-11-12 O. Ivanytskyi , M. Ángeles Pérez-García , C. Albertus

We investigate the impact of pairing correlations on neutrino transport in stellar matter. Our analysis is extended to nuclear matter conditions where large density fluctuations develop, associated with the onset of the liquid-vapor phase…

Nuclear Theory · Physics 2016-08-24 S. Burrello , M. Colonna , F. Matera

We study correlations of atomic density in a weakly interacting Bose-Einstein condensate, expanding diffusively in a random potential. We show that these correlations are long-range and that they are strongly enhanced at long times. Density…

Disordered Systems and Neural Networks · Physics 2008-11-25 N. Cherroret , S. E. Skipetrov

The neutrino emission due to formation and breaking of Cooper pairs of protons in superconducting cores of neutron stars is considered with taking into account the electromagnetic coupling of protons to ambient electrons. Our calculation…

High Energy Physics - Phenomenology · Physics 2017-08-23 L. B. Leinson