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With the creation of ultracold atoms and molecules, a new type of chemistry -"resonance" chemistry - emerges: chemical reactions can occur when the energyof colliding atoms and molecules matches a bound state of the combined molecule(Feshbach resonance). This chemistry is rather similar to reactions that takeplace in nuclei at low energies. In this paper we suggest some problems forfuture experimental and theoretical work related to the resonance chemistry ofultracold molecules. Molecular Bose-Einstein condensates are particularlyinteresting because in this system collisions and chemical reactions areextremely sensitive to weak fields; also, a preferred reaction channel may beenhanced due to a finite number of final states. The sensitivity to weak fieldsarises due to the high density of narrow compound resonances and themacroscopic number of molecules with kinetic energy E=0 (in the ground state ofa mean-field potential). The high sensitivity to the magnetic field may be usedto measure the distribution of energy intervals, widths, and magnetic momentsof compound resonances and study the onset of quantum chaos. A difference inthe production rate of right-handed and left-handed chiral molecules may beproduced by external electric and magnetic fields and the finite width of theresonance. The same effect may be produced by the parity-violating energydifference in chiral molecules.Comment: 5 pages. Included discussion of expected size of effect

Resonance reactions and enhancement of weak interactions in collisions of cold molecules