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By varying the density of an ultracold $^{88}$Sr sample from $10^9$ cm$^{-3}$to $> 10^{12}$ cm$^{-3}$, we make the first definitive measurement of thedensity-related frequency shift and linewidth broadening of the $^1S_0$ -$^3P_1$ optical clock transition in an alkaline earth system. In addition, wereport the most accurate measurement to date of the $^{88}$Sr $^1S_0 - ^3P_1$optical clock transition frequency. Including a detailed analysis of systematicerrors, the frequency is ($434 829 121 312 334 \pm 20_{stat} \pm 33_{sys}$) Hz.Comment: 4 pages, 4 figures, 1 table. submitte

Precision Spectroscopy and Density-Dependent Frequency Shifts in Ultracold Sr