Feshbach resonances in $^{52}$Cr-$^{53}$Cr and $^{53}$Cr-$^{53}$Cr gas
POSTER
Abstract
We present calculations of Feshbach resonances in the ultra-cold boson-fermion and fermion-fermion mixtures in a chromium gas. In the bosonic chromium-chromium collision, the Feshbach resonances are determined by magnetic dipolar interaction of atoms in the ground state with a large magnetic moment, $6\mu_B$, while the presence of a fermionic, $^{53}$Cr, component leads to resonances due to hyperfine interaction term, whose constant is $A=-80.6$ MHz. Apart from mapping the position and width of resonances, we also follow the behavior of the vibrational levels in the magnetic field. The results are obtained through coupled-channel quantum calculations that utilize exact solutions of the Schr\"odinger equation for the $1/r^6$ potential and frame transformation to hyperfine states.