2009/03/30 by S. Cassel, S Cassel · 2 citations
Physics and Astronomy · #Coulomb #Dust and Plasma Wave Phenomena #Expression (computer science) #Laser-Plasma Interactions and Diagnostics #Partial differential equation #Partial wave analysis #Quantum and Classical Electrodynamics #Wave propagation #Yukawa potential #astro-ph.HE #hep-ph #hep-th
paper · pdf · doi:10.1088/0954-3899/37/10/105009
published as J.Phys.G37:105009,2010 · 20 pages, 6 figures
arxiv created 2009/03/30 · openalex publication_date 2010/08/16 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The Sommerfeld factor for arbitrary partial wave processes is derived in the non-relativistic limit. The s-wave and p-wave numerical results are presented for the case of Yukawa interactions. An approximate analytic expression is also found for the Sommerfeld factor of Yukawa interactions with arbitrary partial waves, which is exact in the Coulomb limit. It is demonstrated that this result is accurate to within 10% for some common scenarios. The non-s-wave Sommerfeld effect is determined to be significant, and can allow higher partial waves to dominate cross sections.