Static structure factor of a strongly correlated Fermi gas at large momenta
arXiv:1003.3511 · doi:10.1209/0295-5075/91/20005
Abstract
We theoretically investigate the static structure factor of an interacting Fermi gas near the BEC-BCS crossover at large momenta. Due to short-range two-body interactions, we predict that the structure factor of unlike spin correlations falls off as in a universal scaling region with large momentum and large scattering length. The scaling coefficient is determined by the celebrated Tan's contact parameter, which links the short-range behavior of many-body systems to their universal thermodynamic properties. By implementing this new Tan relation together with the random-phase approximation and the virial expansion theory in various limiting cases, we show how to calculate at zero and finite temperatures for arbitrary interaction strengths, at momentum transfer higher than the Fermi momentum. Our results provide a way to experimentally confirm a new Tan relation and to accurately measure the value of contact parameter.
arXiv comment8 pages, 3 figures; revised according to the Referee's suggestions; publised version
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