Paradoxes of superfluid rotation

Kirzhnit︠s︡, D. A.; Yudin, S. N.

doi:10.1070/pu1995v038n11abeh000121

Cited by 8 publications

(8 citation statements)

References 1 publication

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“…Insofar as the effects of superfluidity are concerned, the situation was somewhat different, since the machinery needed for a fully relativistic treatment was not available at all. The standard formalism of irrotational perfect fluid mechanics would suffice in the zerotemperature limit if no vortex lines were present (Kirznitz & Yudin 1995), but this simplification is unjustifiable unless the superfluid angular velocity Q n is infinitesimally small compared with what typically occurs. In a realistic description the superfluid will be effectively fibrated by a dense lattice of quantized vortex lines.…”

Section: Introductionmentioning

confidence: 99%

Differential rotation of relativistic superfluid in neutron stars

Langlois

Sedrakian

Carter

1998

Monthly Notices of the Royal Astronomical Society

154

258

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It is shown how to set up a mathematically elegant and fully relativistic superfluid model that can provide a realistic approximation (neglecting small anisotropies due to crust solidity, magnetic fields, et cetera, but allowing for the regions with vortex pinning) of the global structure of a rotating neutron star, in terms of just two independently moving constituents, one of which represents the differentially rotating neutron superfluid, while the other part represents the combination of all the other ingredients, including the degenerate electrons, the superfluid protons in the core, and the ions in the crust, whose electromagnetic interactions will tend to keep them locked together in a state of approximately rigid rotation. Order of magnitude estimates are provided for relevant parameters such as the resistive drag coefficient and the maximum pinning force.Comment: 35 pages, Latex, no figure, submitted to M.N.R.A.

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Section: Introductionmentioning

confidence: 99%

Differential rotation of relativistic superfluid in neutron stars

Langlois

Sedrakian

Carter

1998

Monthly Notices of the Royal Astronomical Society

154

258

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“…For realistic neutron star models, you can consult [29] and [30] for instance. You should however have in mind that these models rely strongly on general relativity as underlying gravitational theory.…”

Section: Macroscopic Bodies With Intrinsic Spinmentioning

confidence: 99%

Mathisson–Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation

Leclerc¹

2005

Class. Quantum Grav.

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We present a simple method to derive the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particles, i.e. the so-called pole-dipole particles, as well as particles with an additional intrinsic spin. We show that, starting with a simple Lagrangian, one can derive equations for the spin evolution and momentum propagation in the framework of metric theories of gravity (general relativity) and in theories based on a Riemann-Cartan geometry (Poincaré gauge theory), without explicitly referring to matter current densities (spin and stress-energy). Our results agree with those derived from the multipole expansion of the current densities by the conventional Papapetrou method and from the WKB analysis for elementary particles.

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“…It seems that this kind of systems can be formed during the evolution of cold stars, for example, in white dwarfs or other superdense stars. Indeed, the core of these stars can transform into solid crystalline body under very high pressure [13].…”

Section: The Model Of Neutrino Generatormentioning

confidence: 99%

Exact Analytical Solutions in Three-Body Problems and Model of Neutrino Generator

Takibayev

2010

EPJ Web of Conferences

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Abstract. Exact analytic solutions are obtained in three-body problem for the scattering of light particle on the subsystem of two fixed centers in the case when pair potentials have a separable form. Solutions show an appearance of new resonance states and dependence of resonance energy and width on distance between two fixed centers. The approach of exact analytical solutions is expanded to the cases when two-body scattering amplitudes have the Breit-Wigner's form and employed for description of neutron resonance scattering on subsystem of two heavy nuclei fixed in nodes of crystalline lattice. It is shown that some resonance states have widths close to zero at the certain values of distance between two heavy scatterer centers, this gives the possibility of transitions between states. One of these transitions between three-body resonance states could be connected with process of electron capture by proton with formation of neutron and emission of neutrino. This exoenergic process leading to the cooling of star without nuclear reactions is discussed.

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Paradoxes of superfluid rotation

Cited by 8 publications

References 1 publication

Differential rotation of relativistic superfluid in neutron stars

Differential rotation of relativistic superfluid in neutron stars

Mathisson–Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation

Exact Analytical Solutions in Three-Body Problems and Model of Neutrino Generator

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