  We point out that inflaton decays can be a copious source of stable or
long--lived particles $\chi$ with mass exceeding the reheat temperature $T_R$.
Once higher order processes are included, this statement is true for any $\chi$
particle with renormalizable (gauge or Yukawa) interactions. This contribution
to the $\chi$ density often exceeds the contribution from thermal $\chi$
production, leading to significantly stronger constraints on model parameters
than those resulting from thermal $\chi$ production alone. For example, we all
but exclude models containing stable charged particles with mass less than half
the mass of the inflaton.
