  The standard theory of electromagnetic cascades onto a photon background
predicts a quasi-universal shape for the resulting non-thermal photon spectrum.
This has been applied to very disparate fields, including non-thermal big bang
nucleosynthesis (BBN). However, once the energy of the injected photons falls
below the pair-production threshold the spectral shape is very different, a
fact that has been overlooked in past literature. This loophole may have
important phenomenological consequences, since it generically alters the BBN
bounds on non-thermal relics: for instance it allows to re-open the possibility
of purely electromagnetic solutions to the so-called "cosmological lithium
problem", which were thought to be excluded by other cosmological constraints.
We show this with a proof-of-principle example and a simple particle physics
model, compared with previous literature.
