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Related papers: The $^1$S$_0$ pairing gap in neutron matter

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Understanding the properties of drip line nuclei requires to take into account the correlations with the continuum spectrum of energy of the system. This paper has the purpose to show that the continuum single particle level density is a…

Nuclear Theory · Physics 2017-04-26 R. M. Id Betan , C. E. Repetto

The problem of accurately determining the equation of state of nuclear and neutron matter at density near and beyond saturation is still an open challenge. In this paper we will review the most recent progress made by means of Quantum Monte…

Superfluid properties of the inner crust matter of neutron stars, formed by nuclear clusters immersed in a dilute neutron gas, are analysed in a self- consistent HFB approach. The calculations are performed with two pairing forces, fixed so…

Nuclear Theory · Physics 2009-11-10 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

In nuclear matter at neutron-star densities and temperatures, Cooper pairing leads to the formation of a gap in the nucleon excitation spectra resulting in exponentially strong Boltzmann suppression of many transport coefficients. Previous…

Nuclear Theory · Physics 2017-01-17 Mark G. Alford , Kamal Pangeni

We extend the one-pair Cooper configuration towards Bardeen-Cooper-Schrieffer (BCS) model of superconductivity by adding one-by-one electron pairs to an energy layer where a small attraction acts. To do it, we solve Richardson's equations…

Superconductivity · Physics 2015-05-27 W. V. Pogosov , M. Combescot

Low-density nuclear matter at finite temperature is considered representing the strong coupling situation of a highly correlated fermion system. One-particle se lf-energies and the density of states in the vicinity of the pairing transition…

Nuclear Theory · Physics 2009-10-31 A. Schnell , G. Roepke , P. Schuck

The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous analysis of the BCS functional for general…

Mathematical Physics · Physics 2009-11-13 Christian Hainzl , Eman Hamza , Robert Seiringer , Jan Philip Solovej

We demonstrate that the well-known $(k\uparrow, -k\downarrow)$ Bardeen-Cooper-Schrieffer interaction, when considered in real space, is equivalent to an infinite-range Penson-Kolb pairing mechanism coexisting with an attractive Hubbard…

Superconductivity · Physics 2024-04-17 Francesco Romeo , Alfonso Maiellaro

The thermodynamics of pairing phase-transition in nuclei is studied in the canonical ensemble and treating the pairing correlations in a finite-temperature variation after projection BCS approach (FT-VAP). Due to the restoration of particle…

Nuclear Theory · Physics 2013-10-30 Danilo Gambacurta , Denis Lacroix , Nicu Sandulescu

The notion of "paired" fermions is central to important condensed matter phenomena such as superconductivity and superfluidity. While the concept is widely used and its physical meaning is clear there exists no systematic and mathematical…

Quantum Physics · Physics 2009-11-13 Christina V. Kraus , Michael M. Wolf , J. Ignacio Cirac , Geza Giedke

The pairing correlations in hot nuclei $^{162}$Dy are investigated in terms of the thermodynamical properties by covariant density functional theory. The heat capacities $C_V$ are evaluated in the canonical ensemble theory and the paring…

Nuclear Theory · Physics 2015-10-12 Lang Liu , Zhen-Hua Zhang , Peng-Wei Zhao

We present variational Monte Carlo calculations of the neutron matter equation of state using chiral nuclear forces. The ground-state wavefunction of neutron matter, containing non-perturbative many-body correlations, is obtained from…

Nuclear Theory · Physics 2014-11-06 G. Wlazłowski , J. W. Holt , S. Moroz , A. Bulgac , K. J. Roche

Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction. \ Also…

Superconductivity · Physics 2016-08-15 S. K. Adhikari , M. Casas , A. Puente , A. Rigo , M. Fortes , M. A. Solís , M. de Llano , A. A. Valladares , O. Rojo

The inner crust of a neutron star is a superfluid and inhomogeneous system, consisting of a lattice of nuclei immersed in a sea of neutrons. We perform a quantum calculation of the associated pairing gap and compare it to the results one…

Nuclear Theory · Physics 2009-09-25 F. Barranco , R. A. Broglia , H. Esbensen , E. Vigezzi

The equation of state for neutron stars in a wide-density range at zero temperature is constructed. The chiral quark-meson coupling model within relativistic Hartree-Fock approximation is adopted for uniform nuclear matter. The coupling…

High Energy Astrophysical Phenomena · Physics 2013-10-15 Tsuyoshi Miyatsu , Sachiko Yamamuro , Ken'ichiro Nakazato

We calculate the equation of state of pure neutron matter, comparing the G-matrix calculation with the in-medium T-matrix result. At low densities, we obtain similar energies per nucleon, however some differences appear at higher densities.…

Nuclear Theory · Physics 2009-11-07 P. Bozek , P. Czerski

Based on an exact solution of the Bardeen-Cooper-Schrieffer type Hamiltonian on a spherical surface, we calculate the specific heat for the electron system with pair correlations on a sphere. We find that it is possible to extract from the…

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

The influence of short-range correlations (SRC) on the spectral distribution of neutrons is incorporated in the solution of the gap equation for the ${}^3P_2-{}^3F_2$ coupled channel in pure neutron matter at high density. This effect is…

Nuclear Theory · Physics 2016-08-24 D. Ding , A. Rios , W. H. Dickhoff , H. Dussan , A. Polls , S. J. Witte

Superfluidity and superconductivity are genuine many-body manifestations of quantum coherence. For finite-size systems the associated pairing gap fluctuates as a function of size or shape. We provide a parameter free theoretical description…

Superconductivity · Physics 2011-11-09 H. Olofsson , S. Åberg , P. Leboeuf

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