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The acceptance-corrected dielectron excess mass spectra, where the knownhadronic sources have been subtracted from the inclusive dielectron massspectra, are reported for the first time at mid-rapidity $|y_{ee}|<1$ inminimum-bias Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6 and 200 GeV. The excessmass spectra are consistently described by a model calculation with a broadened$\rho$ spectral function for $M_{ee}<1.1$ GeV/$c^{2}$. The integrateddielectron excess yield at $\sqrt{s_{NN}}$ = 19.6 GeV for $0.4<M_{ee}<0.75$GeV/$c^2$, normalized to the charged particle multiplicity at mid-rapidity, hasa value similar to that in In+In collisions at $\sqrt{s_{NN}}$ = 17.3 GeV. For$\sqrt{s_{NN}}$ = 200 GeV, the normalized excess yield in central collisions ishigher than that at $\sqrt{s_{NN}}$ = 17.3 GeV and increases from peripheral tocentral collisions. These measurements indicate that the lifetime of the hot,dense medium created in central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeVis longer than those in peripheral collisions and at lower energies.

Energy dependence of acceptance-corrected dielectron excess mass spectrum at mid-rapidity in Au+Au collisions at $\sqrt{s_{NN}} = 19.6$ and 200 GeV