Many-body wavefunctions for normal liquid He3

We present new trial wave functions which include three-body correlations into the backflow coordinates and a four-body symmetric potential. We show that our wave functions lower the energy enough to stabilize the ground state energies of normal liquid 3 He in the unpolarized state at all pressures in agreement with experiment; however, quantitative discrepancies remain. Further, we include strong spin coupling into the Fermi liquid by adapting pairing wave functions. We demonstrate a new, numerically stable method to evaluate pairing functions which is also useful for path integrals calculations at low, but nonzero temperatures.