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Exact second Born electron capture for p+He

Journal Article · · Phys. Rev. A; (United States)

Formulation and exact numerical calculation of differential and total 1s-1s electron-capture cross sections with the use of the second Born approximation with the free-wave Green's function are presented. At energies above 15 MeV there appears in the differential cross section a peak characteristic of a second Born or two-step process. For total cross sections, our calculations show that below 7 MeV the second-order cross section is larger than the first-order cross section, indicating a breakdown of second-order Born approximation with the free-wave Green's function. Results using the peaking approximation of Drisko converge to our exact second Born results only at energies well above 30 MeV. According to our exact second-Born calculations, observation of the angular distribution above 15 MeV should reveal structure related to at least one two-step mechanism for electron capture.

Research Organization:
Department of Physics, Kansas State University, Manhattan, Kansas 66506
OSTI ID:
6523105
Journal Information:
Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 26:3; ISSN PLRAA
Country of Publication:
United States
Language:
English