Partial wave analysis of the first order Born amplitude of a Dirac particle in an Aharonov-Bohm potential

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2003-05-15
Shikakhwa, MS
Pak, Namık Kemal
A partial wave analysis using the basis of the total angular momentum operator J(3) is carried out for the first order Born amplitude of a Dirac particle in an Aharonov-Bohm potential. It is demonstrated that the s partial wave contributes to the scattering amplitude in contrast with the case with scalar nonrelativistic particles. We suggest that this explains the fact that the first order Born amplitude of a Dirac particle coincides with the exact amplitude expanded to the same order, where it does not for a scalar particle. An interesting algebra involving the Dirac velocity operator and the angular observables is discovered and its consequences are exploited.
PHYSICAL REVIEW D

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Citation Formats
M. Shikakhwa and N. K. Pak, “Partial wave analysis of the first order Born amplitude of a Dirac particle in an Aharonov-Bohm potential,” PHYSICAL REVIEW D, pp. 0–0, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62613.