Effective theory and universal relations for Fermi gases near a d-wave-interaction resonance.

In this work, we present an effective-field theory to describe a two-component Fermi gas near a d-wave-interaction resonance. The effective-field theory is renormalizable by matching with the low-energy d-wave scattering phase shift. Based on the effective-field theory, we derive universal properties of the Fermi gas by the operator-product-expansion method. We find that beyond the contacts defined by adiabatic theorems, the asymptotic expressions of the momentum distribution and the Raman spectroscopy involve two extra contacts which provide additional information on correlations of the system. Our formalism sets the stage for further explorations of many-body effects in a d-wave resonant Fermi gas. Finally, we generalize our effective-field theory for interaction resonances of arbitrary higher partial waves. [ABSTRACT FROM AUTHOR]