Studies of Single Component Fermi Gas near a $p$-wave Resonance with LOCV Method

We study a single component Fermi gas near a $p$-wave resonance with the Lowest Order Constrained Variation (LOCV) method. With a many-body trial wave function, we calculate the ground state energy as well as contacts of p-wave resonant Fermi gas. The general behavior of the contacts are in accordance with experimental findings. We also calculate the compressibility of the system and identify a possible region of instability close to the p-wave resonance.