2.4 ft-value and integrated Fermi function

Microscopic model of optical potential for testing the 12,14Be+p elastic scattering at 700 Mev

EPJ Web of Conferences ◽

10.1051/epjconf/201920409003 ◽

2019 ◽

Vol 204 ◽

pp. 09003 ◽

Cited By ~ 2

Author(s):

Valery Lukyanov ◽

Elena Zemlyanaya ◽

Konstantin Lukyanov

Keyword(s):

Elastic Scattering ◽

Cross Sections ◽

Optical Potential ◽

Relativistic Wave Equation ◽

Relativistic Wave ◽

Generator Coordinate Method ◽

Generator Coordinate ◽

Microscopic Models ◽

Fermi Function ◽

Scattering Cross Sections

The data on the 12,14Be + p elastic scattering cross sections at 700 Mev are compared with those obtained by solving the relativistic wave equation with the microscopic optical potentials calculated as folding of the NN amplitude of scattering with densities of these nuclei in the form of the symmetrized Fermi function with the fitted radius and diffuseness parameters, and also with the densities obtained in two microscopic models, based on the Generator Coordinate Method (GCM) and the other one – on the Variational Method of Calculations (VMC). For 12Be, above models turn out to be in a small disagreement with the data at "large" angles of scattering θ ≥ 9°, while for the 14Be one sees some inconsistence at smaller angles, too.

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The Chandrasekhar Mass of A Gravitating Electron Crystal

International Astronomical Union Colloquium ◽

10.1017/s0252921100026610 ◽

1994 ◽

Vol 147 ◽

pp. 565-570

Author(s):

D. Engelhardt ◽

I. Bues

Keyword(s):

Magnetic Field ◽

Density Matrix ◽

White Dwarf ◽

Matrix Formalism ◽

Plasma Zone ◽

Isothermal Model ◽

Fermi Function ◽

Density Matrix Formalism ◽

The Magnetic Field ◽

Electron Crystal

AbstractThe internal structure of a white dwarf may be changed by a strong magnetic field. A local model of the electrons is constructed within a thermal density matrix formalism, essentially a Heisenberg magnetism model. This results in a matrix Fermi function which is used to construct an isothermal model of the electron crystal. The central density of the crystal is 108kg/m3 independent of the magnetic field within the plasma and therefore lower than the relativistic density, whereas this density is constant until the Fermi momentum x f = 0.3 * me * c. Chandrasekhar masses up to 1.44 * 1.4M0 are possible for polarizations of the plasma zone lower than 0.5, if the temperature is close to the Curie point, whereas the crystal itself destabilizes the white dwarf dependent on temperature.

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