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We scan the collision energy of two clouds of cesium atoms between 12 and 50$\mu$K in atomic fountain clock. By directly detecting the difference of s-wavescattering phase shifts, we observe a rapid variation of a scattering phaseshift through a series of Feshbach resonances. At the energies we use,resonances that overlap at threshold become resolved. Our statistical phaseuncertainty of 8 mrad can be improved in future precision measurements ofFeshbach resonances to accurately determine the Cs-Cs interactions, which mayprovide stringent limits on the time variation of fundamental constants.

Direct Observation of Resonant Scattering Phase Shifts and their Energy Dependence