Ground state energy of nuclear matter with pure hard core interaction with neutron excess

Abstract

The possibility of spin instability of dense neutron matter, and of spin and isospin instability of dense nuclear matter is investigated using a simplified model of a pure hard core gas, with hard core radius c. Expansion in powers of x = kFc and the variational approach are applied. The model predicts spin stability of neutron matter, and for χ ≳ 1 it suggests a possible spin, isospin, and spin-isospin instability of nuclear matter.