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Ground-state energy studies are carried out for liquid3He based on a correlated wave function which incorporates the Feynman-Cohen backflow correlation operator. Applying a lowest order constrained variation (LOCV) method, calculations have been performed for a number of realistic potentials. Our results indicate an improvement over those obtained by other LOCV calculations performed using the Jastrow ansatz and are in good agreement with other calculations involving higher order terms.

The nucleus 168O8 is the prototype for a large number of developments in nuclear structure theory. It is a doubly magic N=Z nucleus, light enough that an isotopic spin formalism should be a valid approximation. The Brueckner-Hartree-Fock procedure in a spherical basis should be capable of describing the gross properties of the ground state. The excited states of negative parity exhibit the characteristic low-lying ‘octupole vibrational state’ and there is a much studied ‘giant dipole region’ which should be amenable to the analysis of the ‘random phase approximation’. The first excited state is the ‘mysterious second zero’ par excellence and a great deal of work on describing it via the method of ‘deformed state admixtures’ has been carried out. The first excited state and a number of other excited states appear to support spectra reminiscent of rotational bands and the collective character of these states has been extensively studied in both the Bloch-Horowitz and -cluster model schemes.