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This contribution will survey recent progress toward an understanding of diverse pairing phenomena in dilute nuclear matter at small and moderate isospin asymmetry, with results of potential relevance to supernova envelopes and…

Two-neutron correlation in the $^1S$ channel in quasi two-dimensional (2D) neutron systems at zero temperature is studied by means of the BCS theory with finite-range effective nuclear forces. The dineutron correlation in low density…

Nuclear Theory · Physics 2015-05-13 Yoshiko Kanada-En'yo , Nobuo Hinohara , Tadahiro Suhara , Peter Schuck

We propose new types of density dependent contact pairing interaction which reproduce the pairing gaps in symmetric and neutron matter obtained by a microscopic treatment based on the nucleon-nucleon interaction. These interactions are able…

Nuclear Theory · Physics 2008-11-26 J. Margueron , Hiroyuki Sagawa , Kouichi Hagino

We study the isospin-singlet neutron-proton pairing in bulk nuclear matter as a function of density and isospin asymmetry within the BCS formalism. In the high-density, weak-coupling regime the neutron-proton paired state is strongly…

Nuclear Theory · Physics 2009-11-07 U. Lombardo , P. Nozieres , P. Schuck , H. -J. Schulze , A. Sedrakian

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

We report on recent progress in understanding pairing phenomena in low-density nuclear matter at small and moderate isospin asymmetry. A rich phase diagram has been found comprising various superfluid phases that include a homogeneous and…

Nuclear Theory · Physics 2014-04-04 Martin Stein , Armen Sedrakian , Xu-Guang Huang , John W. Clark , Gerd Röpke

We study the phase diagram of isospin-asymmetrical nuclear matter in the density-temperature plane, allowing for four competing phases of nuclear matter: (i) the unpaired phase, (ii) the translationally and rotationally symmetric, but…

Nuclear Theory · Physics 2014-12-19 Martin Stein , Armen Sedrakian , Xu-Guang Huang , 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

Using equations, governing np pairing correlations in S=1, T=0 pairing channel (PRC 63 (2001) 021304(R)), it is shown that at low densities equations for the energy gap in the spectrum of quasiparticles and chemical potentials of protons…

Nuclear Theory · Physics 2011-03-03 A. A. Isayev , S. I. Bastrukov , J. Yang

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

The fundamental structure of the full set of solutions of the BCS $^3 P_2$ pairing problem in neutron matter is established. The relations between different spin-angle components in these solutions are shown to be practically independent of…

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

We construct a coherent state of q-deformed zero coupled nucleon pairs distributed in several single-particle orbits. Using a variational approach, the set of equations of qBCS theory, to be solved self consistently for occupation…

Nuclear Theory · Physics 2009-11-06 S. Shelly Sharma , N. K. Sharma

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

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^{1}S_{0}$ channel to Bose-Einstein…

Nuclear Theory · Physics 2012-07-05 Ting Ting Sun , Bao Yuan Sun , Jie Meng

We study theoretically the di-neutron spatial correlations and the crossover from superfluidity of neutron Cooper pairs in the $^1S_0$ pairing channel to Bose-Einstein condensation (BEC) of di-neutron pairs for both symmetric and neutron…

Nuclear Theory · Physics 2010-05-07 Bao Yuan Sun , Hiroshi Toki , Jie Meng

Pairing effects manifests themselves in many aspects in nuclear systems ranging from finite nuclei to nuclear matter and compact stars. Although with some specific features for nuclear systems, the mechanism of pairing between nucleons in…

Nuclear Theory · Physics 2024-02-07 Xiang-Xiang Sun , Shan-Gui Zhou

The onset of 1S0 proton spin-singlet pairing in neutron-star matter is studied in the framework of the BCS theory including medium polarization effects. The strong three-body coupling of the diproton pairs with the dense neutron environment…

Nuclear Theory · Physics 2020-02-03 Wenmei Guo , J. M. Dong , X. Shang , H. F. Shang , W. Zuo , M. Colonna , U. Lombardo

The properties of neutron matter are integral to the correct description of neutron stars as well as the description of neutron-rich nuclei. One key property of neutron matter is its superfluid behaviour in a range of densities relevant to…

Nuclear Theory · Physics 2021-01-21 Georgios Palkanoglou , Fotis K. Diakonos , Alexandros Gezerlis

The effect of nucleon-nucleon correlations in symmetric nuclear matter at finite temperature is studied beyond BCS theory. Starting from a Hartree-Fock description of nuclear matter with the Gogny effective interaction, we add correlations…

Nuclear Theory · Physics 2015-03-17 Meng Jin , Michael Urban , Peter Schuck

We investigate the BCS treatment of neutron-proton pairing involving time-reversed orbits. We conclude that an isospin-symmetric hamiltonian, treated with the help of the generalized Bogolyubov transformation, fails to describe the ground…

Nuclear Theory · Physics 2008-11-26 O. Civitarese , M. Reboiro , P. Vogel
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