Abstract
The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like at large momentum , as pointed out by Tan. He used novel methods to derive exact relations between the coefficient of the tail in the momentum distribution and various other properties of the system. We present simple derivations of these relations using the operator product expansion for quantum fields. We identify the coefficient as the integral over space of the expectation value of a local operator that measures the density of pairs.
- Received 12 March 2008
DOI:https://doi.org/10.1103/PhysRevLett.100.205301
©2008 American Physical Society