Feshbach resonances in ultracold ^{6,7}Li + ^{23}Na atomic mixtures

TL;DR

This paper provides a detailed theoretical analysis of Feshbach resonances in ultracold lithium-sodium mixtures, offering precise resonance data and predicting new resonances for experimental exploration.

Contribution

The study introduces new accurate interaction potentials and full quantum calculations, improving the understanding of Feshbach resonances in Li-Na mixtures and predicting additional resonances.

Findings

Agreement with previous measurements for certain resonances

Precise scattering length values obtained

Predicted new resonances within experimental magnetic fields

Abstract

We report a theoretical study of Feshbach resonances in $^{6}$Li + $^{23}$Na and $^{7}$Li + $^{23}$Na mixtures at ultracold temperatures using new accurate interaction potentials in a full quantum coupled-channel calculation. Feshbach resonances for $l=0$ in the initial collisional open channel $^6$Li$(f=1/2, m_f=1/2) + ^{23}$Na$(f=1, m_f=1)$ are found to agree with previous measurements, leading to precise values of the singlet and triplet scattering lengths for the $^{6,7}$Li$+^{23}$Na pairs. We also predict additional Feshbach resonances within experimentally attainable magnetic fields for other collision channels.