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In weakly coupled BCS superconductors, only electrons within a tiny energy window around the Fermi energy, $E_F$, form Cooper pairs. This may not be the case in strong coupling superconductors such as cuprates, FeSe, SrTiO$_3$ or cold atom…

Superconductivity · Physics 2023-06-05 Chandan Setty , Laura Fanfarillo , P. J. Hirschfeld

We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the…

Nuclear Theory · Physics 2009-11-10 F. Barranco , R. A. Broglia , G. Colo' , E. Vigezzi , P. F. Bortignon

We present microscopic valence-shell calculations of pairing gaps in the calcium isotopes, focusing on the role of three-nucleon (3N) forces and many-body processes. In most cases, we find a reduction in pairing strength when the leading…

Nuclear Theory · Physics 2013-07-23 J. D. Holt , J. Menendez , A. Schwenk

The canonical-basis HFB method provides an efficient way to describe pairing correlations involving the continuum part of the single-particle spectrum in coordinate-space representations. It can be applied to super-conducting deformed…

Nuclear Theory · Physics 2015-06-26 Naoki Tajima

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

We review the long standing problem of superfluid pairing in pure neutron matter. For the $s$-wave pairing, we summarize the state of the art of many-body approaches including different $nn$ interactions, medium polarization, short-range…

Nuclear Theory · Physics 2021-06-14 S. Ramanan , M. Urban

Nuclear pairing interaction plays a crucial role in both macroscopic-microscopic and fully macroscopic descriptions of nuclei. In the present study we discuss different pairing interactions (monopole and delta pairing forces) and the…

Nuclear Theory · Physics 2008-11-26 A. Baran , Z. Lojewski , K. Sieja

A nuclear density functional can be used to find the binding energy and shell structure of nuclei and the energy gap in superconducting nuclear matter. In this paper, we study the possible application of a nuclear density functional theory…

Nuclear Theory · Physics 2011-04-08 Yeunhwan Lim

We survey the current status of understanding of pairing and superfluidity of neutrons and protons in neutron stars from a theoretical perspective, with emphasis on basic physical properties. During the past two decades, the blossoming of…

Nuclear Theory · Physics 2015-04-15 A. Gezerlis , C. J. Pethick , A. Schwenk

We study dynamics of an ultra-cold atomic BCS superfluid driven towards the BCS superfluid-Fermi liquid quantum critical point by a gradual decrease of the pairing interaction. We analyze how the BCS superfluid falls out of equilibrium and…

Quantum Gases · Physics 2010-12-15 Chih-Chun Chien , Bogdan Damski

We discuss the spatial structure of the Cooper pair in dilute neutron matter and neutron-rich nuclei by means of the BCS theory and the Skyrme-Hartree-Fock-Bogioliubov model, respectively. The neutron pairing in dilute neutron matter is…

Nuclear Theory · Physics 2017-08-23 Masayuki Matsuo

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

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

The two-fermion two-point correlation function in the pairing channel is discussed in the equation of motion framework. Starting from the bare two-fermion interaction, we derive the equation of motion for the two-fermion pair propagator in…

Nuclear Theory · Physics 2020-11-17 Elena Litvinova , Peter Schuck

We discuss various properties of singlet S pairing in neutron and nuclear matter in terms of the bare nuclon-nucleon interaction. Relations to the NN phase shifts are discussed, as well as various properties of the BCS wave function and the…

Nuclear Theory · Physics 2007-05-23 O. Elgaroy , M. Hjorth-Jensen

We apply a large-scale summation of Feynman diagrams, including the class of parquet-diagrams {\em plus} important contributions outside the parquet class, for calculating effective pairing interactions and subsequently the superfluid gap…

Nuclear Theory · Physics 2023-11-14 E. Krotscheck\' , P. Papakonstantinou , J. Wang

The 1S0 pairing gap in isospin-symmetric nuclear matter and finite nuclei is investigated using the chiral nucleon-nucleon potential at the N3LO order in the two-body sector, and the N2LO order in the three-body sector. To include realistic…

Nuclear Theory · Physics 2013-05-30 Paolo Finelli , Tamara Niksic , Dario Vretenar

The strongly attractive Fermi gas in the BCS-BEC crossover is efficiently described in terms of coupled fermions and fermion pairs, or molecules. We compute the spectral functions of both fermions and pairs in the normal state near the…

Quantum Gases · Physics 2024-03-01 Tilman Enss

The coherence length of superfluid neutron matter is calculated from the microscopic BCS wavefunction of a Cooper pair in momentum space making use of the Bonn meson-exchange potential. We find that the coherence length is proportional to…

Nuclear Theory · Physics 2007-05-23 G. Lazzari , F. V. De Blasio , M. Hjorth-Jensen , Oe. Elgaroey , L. Engvik

We develop a relativistic mean field (RMF) description of deformed nuclei with the pairing correlations in the BCS approximation. The treatment of the pairing correlations for nuclei with the Fermi surface being close to the threshold of…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , S. Sugimoto , J. Meng