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We provide a comprehensive theoretical study of the radio-frequency (rf)spectra of a two-component Fermi gas with balanced populations in the normalregion of the temperature-vs-coupling phase diagram. In particular, rf spectraare analyzed in terms of two characteristic peaks, which can be either distinctor overlapping. On the BEC side of the crossover, these two contributions areassociated with a fermionic quasi-particle peak and a bosonic-like contributiondue to pairing. On the BCS side of the crossover, the two peaks are insteadassociated with interactions between particles occurring, respectively, at highor low relative momenta. Through this two-peak analysis, we show how and towhat extent the correlation between the widths of the rf spectra and the pairsize, previously identified in the superfluid phase at low temperature, can beextended to the normal phase, as well as how the temperature-vs-coupling phasediagram of the BCS-BEC crossover can be partitioned in a number of distinctphysical sectors. Several analytic results for the shape and widths of the rfspectra are also derived in appropriate temperature and coupling limits.

Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases