Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-20
Phys.Rev. D67 (2003) 105019
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, no figures
Scientific paper
10.1103/PhysRevD.67.105019
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 (AB)potential. It is demonstrated that the s-partial wave contributes to the scattering amplitude in contrast to the case with scalar non-relativistic 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.
Pak Namik K.
Shikakhwa M. S.
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