Effect of Spin-dependent Correlation Functions on the Ground State Energy of Liquid 3He

The energy of normal liquid 3 He is obtained using the lowest order constrained variational (LOCV) method with the spin-dependent two-body correlation functions. A functional minimization was performed with respect to both spin singlet and spin triplet correlation functions. It is shown that this dependence increases the binding energy of liquid 3 He by about 8% with respect to spin-independent case and it has the same magnitude as our previous work with angular momentum-dependent correlation functions. The S=0 state has completely different behavior with respect to S=1 state. It is also found that the main contribution from potential energy comes from S=1 state and the effect of S=0 state is almost repulsive. We conclude that this spin-dependet effect can be measured experimentaly. The effective interactions and two-body correlation functions in different spin states are being discussed.