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We demonstrate that it is possible to efficiently control ultracold chemicalreactions of alkali-metal atoms colliding with open-shell alkali-metal dimersin their metastable triplet states by choosing the internal hyperfine androvibrational states of the reactants as well as by inducing magnetic Feshbachresonances with an external magnetic field. We base these conclusions oncoupled-channel statistical calculations that include the effects of hyperfinecontact and magnetic-field-induced Zeeman interactions on ultracold chemicalreactions of hyperfine-resolved ground-state Na and the tripletNaLi(a$^3\Sigma^+$) producing singlet Na$_2$($^1\Sigma^+_g$) and a Li atom. Wefind that the reaction rates are sensitive to the initial hyperfine states ofthe reactants. The chemical reaction of fully spin-polarized, high-spin statesof rotationless NaLi(a$^3\Sigma^+, v = 0, N = 0$) molecules with fullyspin-polarized Na is suppressed by a factor of 10-100 compared to that ofunpolarized reactants. We interpret these findings within the adiabatic statemodel, which treats the reaction as a sequence of nonadiabatic transitionsbetween the initial non-reactive high-spin state and the final low-spin statesof the reaction complex. In addition, we show that magnetic Feshbach resonancescan similarly change reaction rate coefficients by several orders of magnitude.Some of these resonances are due to resonant trimer bound states dissociatingto the $N=2$ rotational state of NaLi(a$^3\Sigma^+, v = 0$) and would thusexist in systems without hyperfine interactions.

Quantum spin state selectivity and magnetic tuning of ultracold chemical reactions of triplet alkali-metal dimers with alkali-metal atoms