Evaluation of the $^{52}$Cr-$^{52}$Cr interaction via spin-flip scatterings

TL;DR

This paper theoretically investigates the spin-flip scattering of polarized $^{52}$Cr atom pairs to evaluate the interaction strength $g_0$ for total spin zero, analyzing how $g_0$ influences scattering amplitudes across different spin channels.

Contribution

It introduces a theoretical approach to determine $g_0$ by studying spin-flip scattering in polarized $^{52}$Cr atom pairs with harmonic trapping.

Findings

Predicted how $g_0$ affects scattering amplitudes in various spin channels.

Classified outgoing scattering channels based on spin component $$.

Provided a method to evaluate interaction strength $g_0$ through scattering analysis.

Abstract

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.