Abstract
We present a simple theoretical model used for describing the suppressing reactivity of an ultracold Fermi molecular gas in a degenerate regime via the statistical potential. The statistical potential originates from the symmetry properties of the wave function of identical particles, and is derived by using the density matrix. We use our theoretical model to well reproduce recent experimental results of a potassium-rubidium molecule gas in the deep quantum degenerate regime reported by De Marco et al. [Science 363, 853 (2019)]. The suppression of the chemical reaction rate observed in the experiment is quantitatively reproduced by using the $p$-wave scattering volume as an adjusting parameter. The strength of spatial correlation can be intuitively captured by the statistical potential.
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