How accurately can the Extended Thomas-Fermi method describe the inner crust of a neutron star?
Nuclear Theory
2020-12-09 v1
Abstract
We perform a systematic comparison between the results obtained by solving fully self-consistently the Hartree-Fock-Bogoliubov equations, and those obtained using the semi-classical Extended Thomas-Fermi method, for various Wigner-Seitz cells within the inner crust of a neutron star. The lack of pairing correlations in the semi-classical approach leads to a large discrepancy between the two approaches. This discrepancy is well beyond the error of the quantum-mechanical calculation, and is related to spurious shell effects in the neutron gas.
Keywords
Cite
@article{arxiv.2002.01839,
title = {How accurately can the Extended Thomas-Fermi method describe the inner crust of a neutron star?},
author = {Matthew Shelley and Alessandro Pastore},
journal= {arXiv preprint arXiv:2002.01839},
year = {2020}
}
Comments
10 pages, 5 figures, accepted for publication in Journal of Physics: Conference Series