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Physical properties of an ultracold Fermi gas in the temperature-couplingphase diagram can be characterized by the contact intensity C, which enters thepair-correlation function at short distances and describes how the two-bodyproblem merges into its surrounding. We show that the local order establishedby pairing fluctuations about the critical temperature Tc of the superfluidtransition considerably enhances the contact C in a temperature range wherepseudogap phenomena are maximal. Our ab initio results for C in a trap comparewell with recently available experimental data over a wide coupling range. Ananalysis is also provided for the effects of trap averaging on C.

Temperature and coupling dependence of the universal contact intensity for an ultracold Fermi gas