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We calculate the important quantity of superfluid hydrodynamics, the relativistic entrainment matrix for a nucleon-hyperon mixture at arbitrary temperature. In the nonrelativistic limit this matrix is also termed the Andreev-Bashkin or…

Solar and Stellar Astrophysics · Physics 2009-08-18 M. E. Gusakov , E. M. Kantor , P. Haensel

The entrainment matrix (also termed the Andreev-Bashkin matrix or the mass-density matrix) for a neutron-proton mixture is derived at a finite temperature in a neutron star core. The calculation is performed in the frame of the Landau…

Astrophysics · Physics 2007-05-23 M. E. Gusakov , P. Haensel

It is considered a closed system of non-linear equations for the entrainment matrix of a non-relativistic mixture of superfluid nucleons at arbitrary temperatures below the onset of neutron superfluidity, which takes into account the…

Nuclear Theory · Physics 2018-07-30 Lev B. Leinson

Hydrodynamical simulations of neutron star cores, based on a two fluid description in terms of a neutron-proton superfluid mixture, require the knowledge of the Andreev-Bashkin entrainment matrix which relates the momentum of one…

Nuclear Theory · Physics 2008-11-26 Nicolas Chamel , Pawel Haensel

Observations of massive ($M \approx 2.0~M_\odot$) neutron stars (NSs), PSRs J1614-2230 and J0348+0432, rule out most of the models of nucleon-hyperon matter employed in NS simulations. Here we construct three possible models of…

High Energy Astrophysical Phenomena · Physics 2014-03-05 M. E. Gusakov , P. Haensel , E. M. Kantor

The superfluid drag effect, in hydrodynamics of pulsating neutron stars, is conventionally described with the aid of the entrainment matrix relating the mass currents with the velocities of superfluid flows in the system. Equations for the…

High Energy Astrophysical Phenomena · Physics 2017-07-17 Lev B. Leinson

We study the entrainment effect between superfluid neutrons and charge neutral fluid (called the proton fluid) which is made of protons and electrons in neutron star interior within the two fluid formalism and using a relativistic model…

High Energy Astrophysical Phenomena · Physics 2014-01-22 Apurba Kheto , Debades Bandyopadhyay

Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. The local mass currents in homogeneous or inhomogeneous nuclear systems,…

Nuclear Theory · Physics 2021-02-24 Valentin Allard , Nicolas Chamel

General relativistic superfluid neutron stars have a significantly more intricate dynamics than their ordinary fluid counterparts. Superfluidity allows different superfluid (and superconducting) species of particles to have independent…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. L. Comer , R. Joynt

The relativistic dynamic equations are derived for a superfluid-superconducting mixture coupled to the electromagnetic field. For definiteness, and bearing in mind possible applications of our results to neutron stars, it is assumed that…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Mikhail E. Gusakov , Vasiliy A. Dommes

We investigate superfluid phase transitions of asymmetric nuclear matter at finite temperature ($T$) and density ($\rho$) with a low proton fraction ($Y_{\rm p} \le 0.2$) which is relevant to the inner crust and outer core of neutron stars.…

Nuclear Theory · Physics 2020-01-10 Hiroyuki Tajima , Tetsuo Hatsuda , Pieter van Wyk , Yoji Ohashi

We study transport properties of a strongly interacting superfluid mixture of two Fermi-liquids. A typical example of such matter is the neutron-proton liquid in the cores of neutron stars. To describe the mixture, we employ the Landau…

Solar and Stellar Astrophysics · Physics 2010-04-06 M. E. Gusakov

Both relativistic and non-relativistic two-fluid models of neutron star cores are constructed, using the constrained variational formalism developed by Brandon Carter and co-workers. We consider a mixture of superfluid neutrons and…

Astrophysics · Physics 2008-08-05 N. Chamel

Neutron stars that are cold enough should have two or more superfluids/supercondutors in their inner crusts and cores. The implication of superfluidity/superconductivity for equilibrium and dynamical neutron star states is that each…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. L. Comer

We develop a relativistic multifluid dynamics appropriate for describing neutron star cores at finite temperatures based on Carter's convective variational procedure. The model includes seven fluids, accounting for both normal and…

High Energy Astrophysical Phenomena · Physics 2020-09-14 Peter B. Rau , Ira Wasserman

Mutual entrainment effects in cold neutron-proton mixtures are studied in the framework of the self-consistent nuclear energy-density functional theory. Exact expressions for the mass currents, valid for both homogeneous and inhomogeneous…

Nuclear Theory · Physics 2021-02-05 Nicolas Chamel , Valentin Allard

Superfluidity of $\Lambda$ and $\Sigma^-$ admixed in neutron star (NS) cores is investigated realistically for hyperon ($Y$)-mixed NS models obtained using a $G$-matrix-based effective interaction approach. Numerical results for the…

Nuclear Theory · Physics 2009-11-11 Tatsuyuki Takatsuka , Shigeru Nishizaki , Yasuo Yamamoto , Ryozo Tamagaki

Landau's Fermi Liquid parameters are calculated for non-superfluid pure neutron matter in the presence of a strong magnetic field at zero temperature. The particle-hole interactions in the system, where a net magnetization may be present,…

Nuclear Theory · Physics 2009-08-26 M. Angeles Perez-Garcia , J. Navarro , A. Polls

The contribution of Lambda hyperons to neutrino scattering rates is calculated in the random phase approximation in a model where the interaction is described by a Skyrme potential. Finite temperature and neutrino trapping are taken into…

Nuclear Theory · Physics 2008-11-26 L. Mornas

Nuclear matter properties based on a relativistic approach suitable for the description of multi-component systems are calculated. We use a set of nuclear relativistic mean-field models that satisfy acceptable nuclear matter properties and…

Nuclear Theory · Physics 2022-04-21 Helena Pais , Oleksii Ivanytskyi , Constança Providência
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