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

Author

Shikakhwa, MS
Pak, Namık Kemal

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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.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/62613

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.67.105019

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Department of Physics, Article

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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.