Abstract
The crossover and the ground-state properties in the attractive Hubbard model are studied using the exact Bethe-ansatz equations and the self-consistent field (SCF) approach with renormalized chemical potential. The exact and the SCF results for the ground-state energy, the concentration of double occupied sites D, the chemical potential μ and the kinetic energy are in good agreement for all band fillings n and a wide range of the coupling strength − U/ t. The SCF theory in one dimension suggests a smooth crossover from the BCS superconductivity to the superfluidity of local pairs under variation of − U/ t and n. We found a simple relationship between D, n and the BCS order parameter.
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