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While Josephson-like junctions, transiently established in heavy ion collisions ($\tau_{coll}\approx10^{-21}$ s) between superfluid nuclei --through which Cooper pair tunneling ($Q$-value $Q_{2n}$) proceeds mainly in terms of successive…

Nuclear Theory · Physics 2021-03-03 G. Potel , F. Barranco , E. Vigezzi , R. A. Broglia

Josephson-like junctions, transiently established in heavy ion collisions between superfluid nuclei, few MeV below the Coulomb barrier, allow for the back and forth transfer of a nuclear Cooper pair of effectively charged nucleons and thus…

Nuclear Theory · Physics 2022-06-22 R. A. Broglia , F. Barranco , L. Corradi , G. Potel , S. Szilner , E. Vigezzi

A simple microscopic model of a small superconducting loop interrupted by Josephson junction (flux qubit) allows to compute from the experimental data of Wal et.al \cite{Wal} an important parameter - the density of Cooper pairs at zero…

Quantum Physics · Physics 2011-01-04 Robert Alicki

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

The Cooper-pair size (i.e., the BCS coherence length) in low-dimensional superconductors is dramatically modified by quantum-size effects. In particular, for nanowires made of conventional superconducting materials, we show that the…

Superconductivity · Physics 2009-10-14 A. A. Shanenko , M. D. Croitoru , A. Vagov , F. M. Peeters

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

A new theory for Cooper pair formation and superconductivity is derived from quantum statistical mechanics. It is shown that zero momentum Cooper pairs have non-local permutations and behave as effective bosons with an internal weight close…

Superconductivity · Physics 2022-04-04 Phil Attard

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

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

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

As the most successful microscopic superconductivity theory, Bardeen-Cooper-Schrieffer(BCS) theory has a very peculiar prediction: at zero temperature, only a fraction of electrons within an energy shell form Cooper pair and condense, but…

Superconductivity · Physics 2021-06-21 Da Wang

We developed a weak-linked Josephson junction time-domain simulation tool based on the Bardeen-Cooper-Schrieffer (BCS) theory to account for the electrodynamics of Cooper pairs and quasiparticles in the presence of thermal noise. The model,…

Superconductivity · Physics 2023-11-16 Lucas Iwanikow , Pascal Febvre

A system of equations is obtained for the Cooper gap in nuclei. The system takes two mechanisms of superfluidity into account in an approximation quadratic in the phonon- production amplitude : a Bardeen- Cooper- Schrieffer (BCS) type…

Nuclear Theory · Physics 2009-11-06 A. V. Avdeenkov , S. P. Kamerdzhiev

The Josephson relation for the superfluid density is derived for a Fermi superfluid in the BCS-BEC crossover. This identity extends the original Josephson relation for Bose superfluids. It gives a simple exact relation between the…

Other Condensed Matter · Physics 2008-12-12 Edward Taylor

I present a simple analytical model describing the normal state of a superconductor with a pseudogap in the density of states, such as in underdoped cuprates. In nearly two-dimensional systems, where the superconducting transition…

Superconductivity · Physics 2009-10-30 O. Tchernyshyov

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

Correlated Basis Function (CBF) perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a nuclear Hamiltonian strongly constrained by phenomenology. We report the…

Nuclear Theory · Physics 2017-10-24 Omar Benhar , Giulia De Rosi

Superconducting state is achieved through quantum condensation of Cooper pairs which are new types of charge carriers other than single electrons in normal metals. The theory established by Bardeen-Cooper-Schrieffer (BCS) in 1957 can…

Superconductivity · Physics 2025-02-20 Hai-Hu Wen

We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuations. The phase correlations decay in a slow enough manner…

Superconductivity · Physics 2007-05-23 Bogdan A. Bernevig , Zaira Nazario , David I. Santiago

For the Cooper/BCS model interaction in superconductors (SCs) it is shown: a) how BCS-Bose crossover picture transition temperatures Tc, defined self-consistently by both the gap and fermion-number equations, require unphysically large…

Superconductivity · Physics 2007-05-23 M. de Llano , F. J. Sevilla , M. A. Solis , J. J. Valencia
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