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This chapter provides a review of microscopic theories of pairing in nuclear systems and neutron stars. Special attention is given to the mean-field BCS theory and its extensions to include effects of polarization of the medium and…

Nuclear Theory · Physics 2016-11-09 Armen Sedrakian , John W. Clark

The dineutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^1S_0$ pairing channel to Bose-Einstein condensation (BEC) of dineutron pairs in both symmetric and neutron matter are studied within the…

Nuclear Theory · Physics 2013-04-24 Bao Yuan Sun , Wei Pan

This thesis explores nuclear systems under extreme conditions of isospin asymmetry and strong magnetic fields. Its first chapter is devoted to the phase diagram of isospin-asymmetrical nuclear matter in the density-temperature plane. Four…

Nuclear Theory · Physics 2018-08-08 Martin Stein

By an exact numerical calculation of the BCS pair wavefunction and the density correlation functions both between atoms in the same and in different spin states, we extract the spatial large distance behavior of the respective functions.…

Quantum Gases · Physics 2020-04-01 J. C. Obeso-Jureidini , V. Romero-Rochin

Nucleon-nucleon momentum correlation function have been presented for nuclear reactions with neutron-rich or proton-rich projectiles using a nuclear transport theory, namely Isospin-Dependent Quantum Molecular Dynamics model. The…

Short-range correlations in nuclear and neutron matter are examined through the properties of the correlated wave function obtained by solving the Bethe-Goldstone equation. Tensor correlations are explored through the dominant tensor-driven…

Nuclear Theory · Physics 2014-12-24 Francesca Sammarruca

We study the neutron-proton pairing in nuclear matter as a function of isospin asymmetry at finite temperatures and the saturation density using realistic nuclear forces and Brueckner-renormalized single particle spectra. Our computation of…

Nuclear Theory · Physics 2009-11-06 Armen Sedrakian , Umberto Lombardo

We study pure neutron matter in the BEC-BCS crossover regime using renormalization group based low-momentum interactions within the Nozi\`eres-Schmitt-Rink framework. This is an attempt to go beyond the mean field description for…

Nuclear Theory · Physics 2013-12-10 S. Ramanan , M. Urban

We study the one-body momentum distribution at different densities in nuclear matter, with special emphasis on its components at high momentum. Explicit calculations for finite neutron-proton asymmetry, based on the ladder self-consistent…

Nuclear Theory · Physics 2014-04-23 A. Rios , A. Polls , W. H. Dickhoff

This report adresses topics and questions of common interest in the fields of ultra-cold gases and nuclear physics in the context of the BCS-BEC crossover. The BCS-BEC crossover has recently been realized experimentally, and essentially in…

The neutron-neutron and proton-proton pairing correlations have long been recognised to be the dominant many-body correlation beyond the nuclear mean field since the introduction of pairing mechanism by Bohr, Mottelson and Pines nearly 60…

Nuclear Theory · Physics 2016-03-28 Chong Qi , R. Wyss

Pair densities and associated correlation functions provide a critical tool for introducing many-body correlations into a wide-range of effective theories. Ab initio calculations show that two-nucleon pair-densities exhibit strong spin and…

Using an isospin-dependent transport model, we study isospin effects on two-nucleon correlation functions in heavy-ion collisions induced by neutron-rich nuclei at intermediate energies. We find that these correlation functions are…

Nuclear Theory · Physics 2009-11-10 Lie-Wen Chen , V. Greco , C. M. Ko , Bao-An Li

A debated issue in the physics of the BCS-BEC crossover with trapped Fermi atoms is to identify characteristic properties of the superfluid phase. Recently, a condensate fraction was measured on the BCS side of the crossover by sweeping the…

Superconductivity · Physics 2007-05-23 A. Perali , P. Pieri , G. C. Strinati

Pairing correlations have a strong influence on nuclear level densities. Empirical descriptions and theoretical models have been developed to take these effects into account. The present article discusses cases, where descriptions of…

Nuclear Theory · Physics 2015-06-11 Karl-Heinz Schmidt , Beatriz Jurado

The nature of pairing correlations in neutron matter is re-examined. Working within the conventional approximation in which the $nn$ pairing interaction is provided by a realistic bare $nn$ potential fitted to scattering data, it is…

Nuclear Theory · Physics 2015-06-17 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev

The possibility of the crossover from the BCS pairing to the Bose-Einstein condensate (BEC) of diquarks with going down in density is discussed in the framework of in the Nambu Jona-Lasinio (NJL) model. We find that the quark matter at…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki

Momentum correlation functions of the nucleon-nucleon pairs are presented for reactions with C isotopes bombarding a $^{12} \rm C$ target within the framework of the isospin-dependent quantum molecular dynamics model. The binding-energy…

The decomposition of nuclear symmetry energy into spin and isospin components is discussed to elucidate the underlying properties of the NN bare interaction. This investigation was carried out in the framework of the Brueckner-Hartree-Fock…

Nuclear Theory · Physics 2023-07-12 Wenmei Guo , M. Colonna , V. Greco , U. Lombardo , H. J. Schulze

The spatial structure of a two-dimensional homogeneous mixture of fermionic atoms in two hyperfine states is analyzed throughout the BEC-BCS crossover. Within the BCS-Leggett mean-field model we consider three functions: the pair wave…

Quantum Gases · Physics 2022-04-20 J. C. Obeso-Jureidini , V. Romero-Rochin