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Effect of long cyclic exchanges on the magnetic properties of bcc 3He

Using path-integral Monte Carlo calculations, we have calculated ring exchange frequencies in the bcc phase of solid 3He for densities from melting to the highest stable density. We evaluate 42 different exchange frequencies from two atoms up to eight atoms and find their Gruneisen exponents. Using a fit to these frequencies, we calculate the contribution to the Curie-Weiss temperature, CW, and upper critical magnetic field, Bc2, for even longer exchanges using a lattice Monte Carlo procedure. We find that contributions from sevenand eight-particle exchanges make a significant contribution to CW and Bc2 at melting density. Comparison with experimental data is given.