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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.

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