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Sommerfeld radiation condition at threshold

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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.

fields

hep-ph 1

years

2025 1

verdicts

REJECT 1

representative citing papers

A scale invariant extension of the Georgi Machacek model

hep-ph · 2025-04-27 · reject · novelty 5.0

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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  • A scale invariant extension of the Georgi Machacek model hep-ph · 2025-04-27 · reject · none · ref 28 · internal anchor

    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.