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The temperature-dependent Galitskii-Feynman T-matrix, which sums the two-body scattering series, allowing any number of pairs of either particles outside or holes inside the Fermi sea in intermediate states, for a two-body potential appropriate to liquid 3He, is shown to exhibit a bound-state singularity. The two-body binding energy within the 3He background is shown to be highly sensitive to both the temperature and the density of the system. A critical density below which the binding disappears is observed to be a function of the temperature and of the total momentum of the interacting pair. Detailed numerical computations of this structure are presented using the modified Frost-Musulin potential. To our knowledge, these computations represent the first attempt at a temperature-dependent many-body calculation based on a realistic 3He potential. Possible consequences are drawn for more detailed and realistic calculations of the properties of liquid 3He.

Bound-state pairing singularities in the 3He Galitskii-Feynman T-matrix: Temperature dependence