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We present experimental observations of seven vibrational levels $v'=20-26$of the $1^{3}\Sigma_{g}^{+}$ excited state of Li$_2$ molecules by thephotoassociation (PA) of a degenerate Fermi gas of $^6$Li atoms. For eachvibrational level, we resolve the rotational structure using a Feshbachresonance to enhance the PA rates from p-wave collisions. We also, for thefirst time, determine the spin-spin and spin-rotation interaction constants forthis state. The absolute uncertainty of our measurements is $\pm 0.00002$cm$^{-1}$ ($\pm 600$ kHz). We use these new data to further refine an analyticpotential for this state.

High resolution photoassociation spectroscopy of the $^{6}$Li$_2$ $1^{3}\Sigma_{g}^{+}$ state