Abstract

The s-wave scattering lengths are obtained for all stable isotope combinations of Ca atoms and those values are very sensitive to small changes of the reduced mass. These results rely on a recent measurement of the 40Ca–40Ca scattering length in a Bose condensate of 40Ca and making small corrections to a Born–Oppenheimer potential that reproduces all known spectroscopic data. We find that the 42Ca isotope has a scattering length of 417.5a0 and, thus, can be Bose condensed. The large interisotope scattering length between 43Ca and 42Ca indicates that sympathetic cooling of 43Ca by 42Ca atoms will be effective, and 43Ca–42Ca can also be used to study isotopic Bose–Fermi mixtures. We also predict a d-wave shape resonance for collisions of fermionic 43Ca atoms in different spin components.

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