  In addition to well-motivated scenarios like supersymmetric particles, the
so-called exotic matter (quirky matter, hidden valley models, etc.) can show up
at the LHC and ILC, by exploring the spectroscopy of high mass levels and decay
rates. In this paper we use QCD-inspired potential models, though without
resorting to any particular one, to calculate level spacings of bound states
and decay rates of the aforementioned exotic matter in order to design
discovery strategies. We mainly focus on quirky matter, but our conclusions can
be extended to other similar scenarios.
