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The Sommerfeld enhancement for dark matter with an excited state

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We present an analysis of the Sommerfeld enhancement to dark matter annihilation in the presence of an excited state, where the interaction inducing the enhancement is purely off-diagonal, such as in models of exciting or inelastic dark matter. We derive a simple and accurate semi-analytic approximation for the s-wave enhancement, which is valid provided the mass splitting between the ground and excited states is not too large, and discuss the cutoff of the enhancement for large mass splittings. We reproduce previously derived results in the appropriate limits, and demonstrate excellent agreement with numerical calculations of the enhancement. We show that the presence of an excited state leads to generically larger values of the Sommerfeld enhancement, larger resonances, and shifting of the resonances to lower mediator masses. Furthermore, in the presence of a mass splitting the enhancement is no longer a monotonic function of velocity: the enhancement where the kinetic energy is close to that required to excite the higher state can be up to twice as large as the enhancement at zero velocity.

citation-role summary

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citation-polarity summary

fields

hep-ph 2

years

2025 1 2019 1

verdicts

UNVERDICTED 2

roles

background 1

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background 1

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Showing 2 of 2 citing papers.

  • Scalar-Mediated Inelastic Dark Matter as a Solution to Small-Scale Structure Anomalies hep-ph · 2025-12-22 · unverdicted · none · ref 39 · internal anchor

    A scalar-mediated inelastic dark matter model with 100 eV splitting, Z2 symmetry forbidding elastic scattering, and a dimension-5 dipole operator reconciles dwarf galaxy observations with cosmological bounds via resonant enhancement and provides a distinct direct detection signal.

  • Dark Matter Energy Deposition and Production from the Table-Top to the Cosmos hep-ph · 2019-07-09 · unverdicted · none · ref 237 · internal anchor

    The thesis presents a new 3-to-2 freezeout mechanism, bound-state effects on searches, a new axion interferometric search, reionization assessments, 21-cm constraints, and the DarkHistory code for ionization and thermal histories.