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Undecay

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arxiv 2310.16593 v2 pith:QKR3BZKJ submitted 2023-10-25 hep-ph hep-th

Undecay

classification hep-ph hep-th
keywords particlesstatesasymptoticcollectioncontinuousdecaydifferentthey
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Unstable particles decay sooner or later, so they are not described by asymptotic one-particle states and they should not be included as independent states in unitarity relations such as the optical theorem. The same applies to any countable collection of unstable particles. We show that the behaviour of unparticle stuff, that is, a continuous collection of particles with different masses and common decay channels, is pretty different: it has a non-vanishing probability of surviving for ever and the corresponding asymptotic states must be taken into account to comply with unitarity. We also discuss compressed spectra and the transition from the discrete to the continuous case.

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Cited by 1 Pith paper

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  1. Massive Graviton Dark Matter from a Gapped Continuum

    hep-th 2026-07 conditional novelty 6.0

    Radiative corrections in a 5D linear dilaton brane-world produce a long-lived massive graviton resonance and a holographic fluid, either or both of which can account for dark matter.