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We consider the normal phase of a strongly interacting Fermi gas, which can have either an equal or an unequal number of atoms in its two accessible spin states. Due to the unitarity-limited attractive interaction between particles with…

Quantum Gases · Physics 2013-05-29 K. B. Gubbels , H. T. C. Stoof

We calculate the elementary excitations and pairing of a trapped atomic Fermi gas in the superfluid phase. The level spectra and pairing gaps undergo several transitions as the strength of the interactions between and the number of atoms…

Condensed Matter · Physics 2014-10-13 G. M. Bruun , H. Heiselberg

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

The separation method developed earlier by us [Nucl. Phys. {\bf A598} 390 (1996)] to calculate and analyze solutions of the BCS gap equation for $^1$S$_0$ pairing is extended and applied to $^3$P$_2$--$^3$F$_2$ pairing in pure neutron…

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

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

Ultracold atomic gases and low-density neutron matter are unique in that they exhibit pairing gaps comparable to the Fermi energy which in this sense are the largest in the laboratory and in nature, respectively. This strong pairing regime,…

Nuclear Theory · Physics 2017-08-23 J. Carlson , S. Gandolfi , A. Gezerlis

We report ab initio calculations of the S wave pairing gap in neutron matter calculated using realistic nuclear Hamiltonians that include two- and three-body interactions. We use a trial state, properly optimized to capture the essential…

Nuclear Theory · Physics 2022-02-08 S. Gandolfi , G. Palkanoglou , J. Carlson , A. Gezerlis , K. E. Schmidt

We discuss the concept of Cooper pair in the context of recent experimental studies of radio-frequency excitations in ultracold atomic gases. We argue that the threshold energy determines the size of the Cooper pair emergent from the exact…

Other Condensed Matter · Physics 2008-03-17 J. Dukelsky , G. Ortiz

Isoscalar Cooper pairing in isospin asymmetric nuclear matter occurs between states populating two distinct Fermi surfaces, each for neutrons and protons. The transition from a BCS-like to the normal (unpaired) state, as the isospin…

Nuclear Theory · Physics 2009-11-07 Herbert Müther , Armen Sedrakian

Recent experiments have observed condensation behavior in a strongly interacting system of fermionic atoms. We interpret these observations in terms of a mean-field version of resonance superfluidity theory. We find that the objects…

Soft Condensed Matter · Physics 2009-11-10 A. V. Avdeenkov , J. L. Bohn

Nuclear pairing properties are studied within an approach that includes the quasiparticle-number fluctuation (QNF) and coupling to the quasiparticle-pair vibrations at finite temperature and angular momentum. The formalism is developed to…

Nuclear Theory · Physics 2009-01-01 N. Quang Hung , N. Dinh Dang

A brief review is given of the current state of the problem of neutrino pair emission through neutral weak currents caused by the Cooper pairs breaking and formation (PBF) in superfluid baryon matter at thermal equilibrium. The cases of…

Nuclear Theory · Physics 2018-05-14 Lev B. Leinson

We calculate and provide analytic fits of the factors which describe the reduction of the neutrino emissivity of modified Urca and nucleon-nucleon bremsstrahlung processes by superfluidity of neutrons and protons in neutron-star cores. We…

Astrophysics · Physics 2011-07-19 M. E. Gusakov

We report calculations of the superfluid pairing gap in neutron matter for the $^1S_0$ components of the Reid soft-core $V_6$ and the Argonne $V_{4}'$ two-nucleon interactions. Ground-state calculations have been carried out using the…

Nuclear Theory · Physics 2018-12-18 H. -H. Fan , E. Krotscheck , J. W. Clark

We examine the effective interaction of nonrelativistic fermions with an external vector field in superfluid systems. In contrast to the complicated vertex equation, usually used in this case, we apply the approach which does not employ an…

Astrophysics · Physics 2008-11-26 L. B. Leinson

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 compute from chiral two- and three-body forces the complete quasiparticle interaction in symmetric nuclear matter up to twice nuclear matter saturation density. Second-order perturbative contributions that account for Pauli-blocking and…

Nuclear Theory · Physics 2018-05-30 J. W. Holt , N. Kaiser , T. R. Whitehead

The self-energy effect on the neutron-proton (np) pairing gap is investigated up to the third order within the framework of the extend Bruecker-Hartree-Fock (BHF) approach combined with the BCS theory. The self-energy up to the second-order…

Nuclear Theory · Physics 2019-07-26 Xiao-Hua Fan , Xin-le Shang , Jian-Min Dong , Wei Zuo

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

Nuclear Theory · Physics 2025-12-02 Panagiota Papakonstantinou , Eckhard Krotscheck , Jiawei Wang

The Hamiltonian and trial function in the BCS theory are improved to test the limit of this theory. The Cooper pairs arise from standing electron waves, ready to move with atoms, giving high Tc. The Hamiltonian is derived from alternating…

Superconductivity · Physics 2007-05-23 X. H. Zheng