Sommerfeld enhancement: general results from field theory diagrams
By R. Iengo. 2009
172 citations recorded by the source corpus.
Assuming that two incoming annihilating particles interact by exchanging a generally massive attractive vector (or scalar) boson, we find, by taking the non-relativistic limit of the field theory ladder diagrams, that the complete annihilation amplitude A is equal to: the convolution of a solution of the Schroedinger equation (including the attractive potential) with the Fourier transform of the bare (i.e. ignoring the attraction) annihilation amplitude A0. The main novelty is that A0 can be completely arbitrary. For a Coulomb potential we find analytically the enhancement for the l-partial-wave cross-section, e.g. the P wave enhancement 2π(α/v)3 (v relative velocity), for a Yukawa potential we describe a simple algorithm and give numerical results showing an important P wave enhancement with a resonant pattern.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ceef318e1ffc69b33e31b592047c49b3f9786fa8
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Citations in the corpus
- Cosmological implications of Dark Matter bound states (2017, background): “(3)The Sommerfeld enhancement also affects p-wave cross sections, which remain subleading [17,18].”
- Sommerfeld factor for arbitrary partial wave processes (2009, background): “So far as the author is aware, this is a new result that, during preparation of this paper, has also been independently presented by Iengo [10] (and see footnote 1).”
- Bound-state formation for thermal relic dark matter and unitarity (2014, unknown): “[35, 36])”