Evaluation of the ⁵²Cr-⁵²Cr interaction via spin-flip scatterings

In order to evaluate $g_0$, the interaction strength of a pair of $^{52}$Cr atoms with total spin S=0, a specially designed s-wave scattering of the pair has been studied theoretically. Both the incident atom and the target atom trapped by a harmonic potential are polarized previously but in reverse directions. Due to spin-flip, the outgoing atom may have spin component $\mu$ ranging from -3 to 3. The outgoing channels are classified by $\mu$. The effect of $g_{0}$ on the scattering amplitudes of each of these $\mu-$channels has been predicted.