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We have carried out bound-state and low-energy quantum scatteringcalculations on He + NH (triplet Sigma) in magnetic fields, with the NHmolecule in its n=1 rotationally excited states. We have explored the patternof levels as a function of magnetic field and identified the nearly goodquantum numbers in different regimes. We have used the bound-state calculationsto locate low-energy Feshbach resonances. When the magnetic field is used totune across such a resonance, the real and imaginary part of the scatteringlength show asymmetric oscillations and peaks with amplitude between 1 and 3Angstroms. The scattering length does not pass through a pole at resonance. Theresonant behavior is characterized by a complex resonant scattering lengtha_res. The corresponding inelastic cross sections show troughs as well as peaksnear resonance. This may be important for efforts to achieve evaporative andsympathetic cooling for molecules, because it offers the hope that inelastictrap losses can be reduced by tuning close to a Feshbach resonance.

Ultracold collisions in magnetic fields: reducing inelastic cross sections near Feshbach resonances