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

• Received 22 August 2007

DOI:https://doi.org/10.1103/PhysRevA.78.010701