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BCS theory accounts for the pairing instability in the weak coupling limit,but fails to describe pairing fluctuations above $T_c$. One possibility fordescribing these fluctuations in the dilute limit is the T-matrixapproximation. We critically examine various degrees of self-consistency in theT-matrix formalism, along with a non-diagrammatic two-particle self-consistent(TPSC) formulation, in the strong coupling regime, where an exact solution isreadily available. We find that one particular degree of self-consistency isquite accurate, particularly at low temperature as evidenced by examining bothstatic and dynamic properties.Comment: 5 pages, 3 figure

Minimally self-consistent T-matrix approximation to describe the low-temperature properties of the Hubbard model in the atomic limit