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.

Authors

  • Z. Pavlovi\'c

    • University of Connecticut
  • Robin C\^ot\'e

    • Physics Department, University of Connecticut, Storrs, USA
    • University of Connecticut
    • University of Connecticut Storrs
    • Department of Physics, University of Connecticut, Storrs, CT 06269
    • Department of Physics, University of Connecticut
  • H.R. Sadeghpour

    • Harvard-Smithsonian Center for Astrophysics