Solid neutron matter

The ground state of solid neutron matter is investigated using the $t$-matrix formalism developed for the quantum crystal problem. Studies of neutrons interacting through the repulsive part of the Reid ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ interaction, the Reid ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ interaction, and the full Reid potentials are made in the Hartree, Hartree $t$-matrix, Hartree-Fock, and Hartree-Fock $t$-matrix approximations. The results of the studies of the two model problems, the repulsive part of the ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ interaction and the ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}$ interaction, are exhibited and discussed in detail. These model problems provide a test of the computational procedures employed in using the quantum crystal formalism on the neutron matter problem. The result of the study of neutrons interacting through the Reid soft-core potentials is described. We find no evidence in the study of either of the model problems for the presence of a solid ground state. Further, we find no evidence in the study of neutrons interacting through the full set of Reid soft-core potentials for the presence of a solid ground state.