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Background: An accurate description of nuclear pairing gaps is extremely important for understanding static and dynamic properties of the inner crusts of neutron stars and to explain their cooling process. Purpose: We plan to study the…

Nuclear Theory · Physics 2014-10-24 S. Maurizio , J. W. Holt , P. Finelli

We calculate level densities and pairing gaps for an ultracold dilute gas of fermionic atoms in harmonic traps under the influence of mean field and anharmonic quartic trap potentials. Super-shell structures, which were found in…

Other Condensed Matter · Physics 2007-08-02 M. Ogren , H. Heiselberg

In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge.…

Nuclear Theory · Physics 2014-12-01 P. Finelli , S. Maurizio , J. W. Holt

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1S0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a…

Nuclear Theory · Physics 2015-06-26 Armen Sedrakian , T. T. S. Kuo , Herbert Müther , Peter Schuck

Statistical fragment emission from excited nuclear systems is studied within the framework of a schematic Fermi-gas model combined with Weisskopf's detailed balance approach. The formalism considers thermal expansion of finite nuclear…

Nuclear Theory · Physics 2009-11-07 Jan Tõke , Jun Lu , W. Udo Schröder

The derivation of effective macroscopic theories approximating microscopic systems of interacting particles is a major question in non-equilibrium statistical mechanics. In these notes we present an approximation of systems made by many…

Mathematical Physics · Physics 2023-07-18 Chiara Saffirio

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 present two novel relations between the quasiparticle interaction in nuclear matter and the unique low momentum nucleon-nucleon interaction in vacuum. These relations provide two independent constraints on the Fermi liquid parameters of…

Nuclear Theory · Physics 2009-11-07 A. Schwenk , G. E. Brown , B. Friman

We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in…

Mathematical Physics · Physics 2009-11-07 Monique Combescure , Didier Robert

The pairing of charge carriers with large pair momentum is considered in connection with high-temperature superconductivity of cuprate compounds. The possibility of pairing arises due to some essential features of quasi-two-dimensional…

Superconductivity · Physics 2009-11-07 V. I. Belyavsky , Yu. V. Kopaev

We consider a system of $ N $ interacting fermions in $ \mathbb{R}^3 $ confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the interaction has the mean-field scaling $ 1/N $. With a…

Mathematical Physics · Physics 2020-05-20 Søren Fournais , Peter S. Madsen

We study a system of $N$ interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as $1/N$ and with an effective semi-classical parameter $\hbar=N^{-1/d}$ where $d$…

Mathematical Physics · Physics 2019-10-02 Mathieu Lewin , Peter S. Madsen , Arnaud Triay

Quantum states of a two-component Fermi trapped gas are described by introducing an effective trap frequency, determined via variational techniques. Closed expressions for the contribution of a contact interaction potential to the total…

Other Condensed Matter · Physics 2009-11-10 R. Jáuregui , R. Paredes , G. Toledo Sánchez

Fluctuations of the amplitude of the order parameter govern the properties of superconducting systems close to the critical transition temperature. In the BCS regime we examine the contribution of these pairing fluctuations to the…

Statistical Mechanics · Physics 2009-11-10 Luciano Viverit , Georg M. Bruun , Anna Minguzzi , Rosario Fazio

This work aims at a global assessment of the effect of the density dependence of the zero-range pairing interaction. Systematic Skyrme-Hartree-Fock-Bogoliubov calculations with the volume, surface and mixed pairing forces are carried out to…

Nuclear Theory · Physics 2015-08-11 S. A. Changizi , Chong Qi

Properties of nuclear systems at subsaturation densities can be obtained from different approaches. We demonstrate the use of the density autocorrelation function which is related to the isothermal compressibility and, after integration, to…

Nuclear Theory · Physics 2017-12-07 Gerd Roepke , Dmitri Voskresensky , Ivan Kryukov , David Blaschke

The level density is among the most important statistical nuclear properties. It appears in Fermi's golden rule for transition rates and is an important input to the Hauser-Feshbach theory of compound nucleus reactions. We discuss empirical…

Nuclear Theory · Physics 2022-01-05 Y. Alhassid

A general approach to analyze the electrodynamics of nuclear matter in bulk is presented using the relativistic Thomas-Fermi equation generalizing to the case of $N \simeq (m_{\rm Planck}/m_n)^3$ nucleons of mass $m_n$ the approach well…

Astrophysics · Physics 2008-11-26 Remo Ruffini , Michael Rotondo , She-Sheng Xue

The knowledge of the nuclear level density is necessary for understanding various reactions including those in the stellar environment. Usually the combinatorics of Fermi-gas plus pairing is used for finding the level density. Recently a…

Nuclear Theory · Physics 2016-06-22 Roman Sen'kov , Vladimir Zelevinsky

I review theoretical ideas and implications of experiments for the gap structure and symmetry of the Fe-based superconductors. Unlike any other class of unconventional superconductors, one has in these systems the possibility to tune the…

Superconductivity · Physics 2016-01-12 P. J. Hirschfeld
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