  We resolve the unexpected and long-standing disagreement between experiment
and theory in the Efimovian three-body spectrum of Li-7, commonly referred to
as the lithium few-body puzzle. Our results show that the discrepancy arises
out of the presence of strong non-universal three-body spin-exchange
interactions, which enact an effective inflation of the universal Efimov
spectrum. This conclusion is obtained from a thorough numerical solution of the
quantum mechanical three-body problem, including precise interatomic
interactions and all spin degrees of freedom for three alkali-metal atoms. Our
results show excellent agreement with the experimental data regarding both the
Efimov spectrum and the absolute rate constants of three-body recombination,
and in addition reveal a general product propensity for such triatomic
reactions in the Paschen-Back regime, stemming from Wigner's spin conservation
rule.
