Liquid 3He! is studied in a constrained variational approach, where the truncation of the cluster expansion is accounted for by means of an adjustment to the conditions of healing on a two-body lastrow function, The scheme of calculations involved is very rapid, enabling a detailed study of ground-state saturation properties for intermediate phases of nuclear spin-polarization, Imposing certain consistency requirements on the energy levels E (po, v), the equilibrium density po displays a distinct variation with v, Results obtained with the HFDHE2, HFD-B(HE) and HFD-B2 twobody interaction models are presently reported, PACS 67,65 -Spin-polarized hydrogen and helium. PACS 05,30,Fk -Fermion systems and electron gas,
L -IntroductionIn the bulk aggregate, the weak nature of forces between He atoms, in combination with low nuclear masses, is the cause of a large "zero-point" motion which prevents solidification as the temperature decreases, Helium thus remains a liquid down to absolute zero, providing a unique test case as far as many-body quantum theory is concerned, Previous studies of liquid 3He concentrate on the unpolarized and the fully spin-polarized phases, the best results having been obtained in Fermi hypernetted-chain (FHNC) calculations and Monte Carlo computer simulations [1-3], To our knowledge, however, the overall ground-state energetics of liquid 3He have not been studied previously Presently, results for intermediately spin-polarized liquid 3He (liquid 3Het, where the arrow superscript means nuclear spin-polarization and the v subscript denotes the spin degeneracy) are reported using a modified lowest-order constrained variational (LOCV) method [4,5], In our calculations an interval, rather than a definite estimate, is initially obtained for E(po) v), Within 1 ::; v ::; 2, an application of realistic constraints to the C*) The authors of this paper have agreed to not receive the proofs for correction,