  Three-body recombination is a prime example of the fundamental interaction
between three particles. Due to the complexity of this process it has resisted
a comprehensive description. Experimental investigations have mainly focussed
on the observation of corresponding loss rates without revealing information on
the reaction products. Here, we provide the first general experimental study on
the population distribution of molecular quantum states after three-body
recombination in a non-resonant regime. We have developed a highly sensitive
detection scheme which combines photoionization of the molecules with
subsequent ion trapping. By analyzing the ionization spectrum, we identify the
population of energy levels with binding energies up to $h\times 750\:$GHz. We
find a broad population of electronic and nuclear spin states and determine a
range of populated vibrational and rotational states. The method presented here
can be expanded to provide a full survey of the products of the recombination
process. This may be pivotal in developing an in-depth model that can
qualitatively and quantitatively predict the reaction products of three-body
recombination.
