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 1S0 interaction, the Reid 1S0 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 1S0 interaction and the 1S0 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