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We theoretically investigate the momentum-resolved radio-frequencyspectroscopy of a harmonically trapped atomic Fermi gas near a Feshbachresonance in the presence of equal Rashba and Dresselhaus spin-orbit coupling.The system is qualitatively modeled as an ideal gas mixture of atoms andmolecules, in which the properties of molecules, such as the wavefunction,binding energy and effective mass, are determined from the two-particlesolution of two-interacting atoms. We calculate separately the radio-frequencyresponse from atoms and molecules at finite temperatures by using the standardFermi golden rule, and take into account the effect of harmonic traps withinlocal density approximation. The total radio-frequency spectroscopy isdiscussed, as functions of temperature and spin-orbit coupling strength. Ourresults give a qualitative picture of radio-frequency spectroscopy of aresonantly interacting spin-orbit coupled Fermi gas and can be directly testedin atomic Fermi gases of K40 atoms at Shanxi University and of Li6 atoms atMIT.

Momentum-resolved radio-frequency spectroscopy of a spin-orbit coupled atomic Fermi gas near a Feshbach resonance in harmonic traps