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Related papers: Spatial structure of Cooper pairs in nuclei

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We analyze spatial structure of the neutron Cooper pair in superfluid low-density uniform matter by means of BCS calculations employing a bare force and the effective Gogny interaction. It is shown that the Cooper pair exhibits a strong…

Nuclear Theory · Physics 2009-11-11 Masayuki Matsuo

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

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

The Cooper pair is generally analyzed in momentum space, but its real-space structure also follows directly from the BCS theory. It is shown here that this leads to a spherically symmetrical quasi-atomic wavefunction, with an identical…

Superconductivity · Physics 2007-05-23 Alan M. Kadin

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

Asymptotic form of neutron Cooper pair penetrating to the exterior of nuclear surface is investigated with the Bogoliubov theory for the superfluid Fermions. Based on a two-particle Schr\"{o}dinger equation governing the Cooper pair wave…

Nuclear Theory · Physics 2015-06-17 Y. Zhang , M. Matsuo , J. Meng

Exotic and drip-line nuclei as well as nuclei immersed in a low density gas of neutrons in the outer crust of neutron stars are systematically investigated with respect to their neutron pairing properties. This is done using Skyrme…

Nuclear Theory · Physics 2015-06-15 A. Pastore , J. Margueron , P. Schuck , X. Viñas

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

We study proximity effect of pair correlation in the inner crust of neutron stars by means of the Skyrme-Hartree-Fock-Bogoliubov theory formulated in the coordinate space. We describe a system composed of a nuclear cluster immersed in…

Nuclear Theory · Physics 2020-09-25 Toshiyuki Okihashi , Masayuki Matsuo

We investigated the superfluid properties of the inner crust of neutron stars, solving the Hartree-Fock-Bogoliubov equations in spherical Wigner-Seitz cells. Using realistic two-body interactions in the pairing channel, we studied in detail…

Nuclear Theory · Physics 2013-05-29 Alessandro Pastore , Simone Baroni , Cristina Losa

Pairing gaps in neutron matter need to be computed in a wide range of densities to address open questions in neutron star phenomenology. Traditionally, the Bardeen-Cooper-Schrieffer approach has been used to compute gaps from bare…

Nuclear Theory · Physics 2016-08-23 D. Ding , A. Rios , H. Dussan , W. H. Dickhoff , S. J. Witte , A. Carbone , A. Polls

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 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

We theoretically investigate Cooper quartet correlations in $ N = Z $ doubly-magic nuclei ($ {}^{40} \mathrm{Ca} $, $ {}^{100} \mathrm{Sn} $, and $ {}^{164} \mathrm{Pb} $). We first examine the quartet condensation fraction in infinite…

Nuclear Theory · Physics 2025-08-06 Yixin Guo , Tomoya Naito , Hiroyuki Tajima , Haozhao Liang

In this review paper we discuss the effects of pairing correlations on inner crust matter in the density region where nuclear clusters are supposed to coexist with nonlocalised neutrons. The pairing correlations are treated in the framework…

Nuclear Theory · Physics 2012-01-16 Jérôme Margueron , N. Sandulescu

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

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing…

Nuclear Theory · Physics 2021-12-28 Aurel Bulgac

Particle and pairing densities in spherical even-even neutron-rich nuclei are studied within the Skyrme-Hartree-Fock-Bogoliubov approach with the density-dependent pairing interaction. The influence of the density dependence of the pairing…

Nuclear Theory · Physics 2011-07-18 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

A survey of pairing properties of nucleonic matter is presented that includes the off-shell propagation associated with short-range and tensor correlations. For this purpose, the gap equation has been solved in its most general form…

Nuclear Theory · Physics 2016-08-16 H. Müther , W. H. Dickhoff

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…

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