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Sommerfeld radiation condition at threshold

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arxiv 1106.4654 v1 pith:ALARHJED submitted 2011-06-23 math-ph math.MP

classification math-phmath.MP
keywords radiationconditionconditionsclassdimensionenergypotentialsresolvent
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abstract

We prove Besov space bounds of the resolvent at low energies in any dimension for a class of potentials that are negative and obey a virial condition with these conditions imposed at infinity only. We do not require spherical symmetry. The class of potentials includes in dimension $\geq3$ the attractive Coulomb potential. There are two boundary values of the resolvent at zero energy which we characterize by radiation conditions. These radiation conditions are zero energy versions of the well-known Sommerfeld radiation condition.

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Cited by 1 Pith paper

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  1. A scale invariant extension of the Georgi Machacek model

    hep-ph 2025-04 reject novelty 5.0 of 10

    By adding a gauge-singlet scalar to the Georgi-Machacek model and imposing classical scale invariance, the electroweak scale arises radiatively and the model predicts a scalon below 200 GeV and a heavier scalar below 600 GeV.

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