The angular momentum dependent calculation of the ground state energy of liquid 3He

We investigate the Possible angular momentum, 1, dependence of the ground state energy of normal liquid He-3. The method of lowest order constrained variational (LOCV) which includes the three-body cluster energy and normalization constraint (LOCVE) is used with angular momentum dependent two-body correlation functions. A functional minimization is performed with respect to each l-channel correlation function. It is shown that this dependence increases the binding energy of liquid He-3 by 8% with respect to calculations without angular momentum dependent correlation functions. The l = 0 state has completely different behavior with respect to other 1-channels. It is also found that the main contribution from potential energy comes from the l = 1 state (p-waves) and the effect of l >= 11 is less than about 0.1%. The effective interactions and two-body correlations in different channels are being discussed. Finally we conclude that this l-dependence can be verified experimentally by looking into the magnetization properties of liquid helium 3 and interatomic potentials.