The interacting neutron gas at high density and temperature

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Equations Of State, Gas Density, High Temperature Gases, Neutron Stars, Gas Expansion, Nuclear Potential, Stellar Evolution, Supernovae, Tables (Data)

Scientific paper

A general many-body formalism developed for the treatment of interacting fermions at finite temperature is applied to compute the interaction energy of a partially degenerate neutron gas. The grand potential is expressed in terms of an independent-particle component and a linked-cluster expansion analogous to a certain zero-temperature expansion, and the isospin triplet soft-core Reid (1968) nuclear potential is adopted. The equations of state obtained for the interacting neutron gas and for the noninteracting gas are plotted for densities ranging from 2 by 10 to the 10th power to 10 to the 14th power g/cu cm and temperatures up to approximately 300 billion K.

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