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Starting from the linearized BdG-equation we make the simple observation that pairing can occur between particles with total momenta different from zero, e.g., with equal momentum and opposite spin, in cases of an effective interaction…

Superconductivity · Physics 2022-08-25 C. Hainzl , M. Loss

Electrons in a multielectron bubble in helium form a spherical, two-dimensional system coupled to the ripplons at the bubble surface. The electron-ripplon coupling, known to lead to polaronic effects, is shown to give rise also to Cooper…

Superconductivity · Physics 2007-05-23 J. Tempere , V. N. Gladilin , I. F. Silvera , J. T. Devreese

We develop an extension of the original Reiss-Frisch-Lebowitz scaled particle theory that can serve as a predictive method for the hard sphere pair correlation function g(r). The reversible cavity creation work is analyzed both for a single…

Statistical Mechanics · Physics 2009-11-11 Frank H. Stillinger , Pablo G. Debenedetti , Swaroop Chatterjee

Long-lived, spatially localized, and temporally oscillating nonlinear excitations are predicted by numerical simulation of coupled Gross-Pitaevskii equations. These oscillons closely resemble the time-periodic breather solutions of the…

In this work, a new functional is introduced to treat pairing correlations in finite many-body systems. Guided by the projected BCS framework, the energy is written as a functional of occupation numbers. It is shown to generalize the BCS…

Nuclear Theory · Physics 2015-05-18 Denis Lacroix , Guillaume Hupin

A brief review of recent progress in the ab intio theory of nuclear pairing is given. Nowdays several successful solutions of the ab intio BCS theory gap equation were published which show that it is a promising first step in the problem.…

Nuclear Theory · Physics 2017-08-23 Eduard E. Saperstein , Marcello Baldo

Isoscalar and isovector particle densities are derived analytically by using the approximation of a sharp edged nucleus within the local energy density approach with the proton-neutron asymmetry and spin-orbit effects. Equations for the…

Nuclear Theory · Physics 2009-05-29 A. G. Magner , A. I. Sanzhur , A. M. Gzhebinsky

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

Surface properties of neutron-neutron (T=1) pairing in semi-infinite nuclear matter in a hard wall potential are investigated in BCS approximation using the Gogny force. Surface enhancement of the gap function, pairing tensor and…

Nuclear Theory · Physics 2009-10-31 M. Farine , P. Schuck

We study the static correlation functions of the Richardson pairing model (also known as the reduced or discrete-state BCS model) in the canonical ensemble. Making use of the Algebraic Bethe Ansatz formalism, we obtain exact expressions…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

The possible pairing symmetries for BiS$_{2}-$based superconductors is investigated by using a minimal two-orbital model with onsite and nearest-neighbor intraorbital attractions $V_{0}$ and $V_{1}$, respectively. By using the mean-field…

Superconductivity · Physics 2013-04-09 Yi Gao

The energy splittings between the proton $1h_{11/2}$ and $1g_{7/2}$ states in the Sb (Z=51) isotopes and the neutron $1i_{13/2}$ and $1h_{9/2}$ states in the ${N=83}$ isotones are analyzed within relativistic quasiparticle-vibration…

Nuclear Theory · Physics 2015-10-27 A. V. Afanasjev , E. Litvinova

Starting from a nonmarkovian conserving relaxation time approximation for collisions we derive coupled dispersion relations for asymmetric nuclear matter. The isovector and isoscalar modes are coupled due to asymmetric nuclear meanfield…

Nuclear Theory · Physics 2008-11-26 K. Morawetz , R. Walke , U. Fuhrmann

A mixture of two kinds of identical bosons held in a harmonic potential and interacting by harmonic particle-particle interactions is discussed. This is an exactly-solvable model of a mixture of two trapped Bose-Einstein condensates which…

Quantum Gases · Physics 2017-02-14 Shachar Klaiman , Alexej I. Streltsov , Ofir E. Alon

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

Pairing correlations in the even-even A=102-130 Sn isotopes are discussed, based on the Richardson-Gaudin variables in an exact Woods-Saxon plus reduced BCS pairing framework. The integrability of the model sheds light on the pairing…

Nuclear pairing correlations are known to play an important role in various single-particle and collective aspects of nuclear structure. After the first idea by A. Bohr, B. Mottelson and D. Pines on similarity of nuclear pairing to electron…

Nuclear Theory · Physics 2009-11-10 Vladimir Zelevinsky , Alexander Volya

A model with nucleons in a charge-independent potential well interacting by an isovector pairing force is considered. For a 24-dimensional valence space, the Hartree-Bogolyubov (HB) plus random phase approximation (RPA) to the lowest…

Nuclear Theory · Physics 2014-03-24 I. Bentley , K. Neergård , S. Frauendorf

Neutron scattering on exotic nuclides is a class of processes which can not be studied directly now and in any observable future. Resonance proton scattering of exotic nuclide on a thick target in inverse kinematics can be used to infer the…

Nuclear Theory · Physics 2025-04-22 M. S. Khirk , L. V. Grigorenko , D. E. Lanskoy , P. G. Sharov