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We propose a theoretical description of the superconducting state of under-to overdoped cuprates, based on the short coherence length of these materialsand the associated strong pairing fluctuations. The calculated $T_c$ and thezero temperature excitation gap $\Delta(0)$, as a function of holeconcentration $x$, are in semi-quantitative agreement with experiment. Althoughthe ratio $T_c/\Delta(0)$ has a strong $x$ dependence, different from theuniversal BCS value, and $\Delta(T)$ deviates significantly from the BCSprediction, we obtain, quite remarkably, quasi-universal behavior, for thenormalized superfluid density $\rho_s(T)/\rho_s(0)$ and the Josephson criticalcurrent $I_c(T)/I_c(0)$, as a function of $T/T_c$. While experiments on$\rho_s(T)$ are consistent with these results, future measurements on $I_c(T)$are needed to test this prediction.Comment: 4 pages, 3 figures, REVTeX, submitted to Phys. Rev. Let

Pairing Fluctuation Theory of Superconducting Properties in Underdoped to Overdoped Cuprates