Classical limit for the scattering of Dirac particles in a magnetic field


Por: Murguía G., Moreno M.

Publicada: 1 ene 2003
Resumen:
We present a relativistic quantum calculation at first order in perturbation theory of the differential cross section for a Dirac particle scattered by a solenoidal magnetic field. The resulting cross section is symmetric in the scattering angle as those obtained by Aharonov and Bohm (AB) in the string limit and by Landau and Lifshitz (LL) for the non-relativistic case. We show that taking pr0 |sin (?/2)|/? ? 1 in our expression of the differential cross section it reduces to the one reported by AB, and if additionally we assume ? ? l our result becomes the one obtained by LL. However, these limits are explicitly singular in ? as opposed to our initial result. We analyse the singular behaviour in ? and show that the perturbative Planck limit (? ? 0) is consistent, in contrast to those of the AB and LL expressions. We also discuss the scattering in a uniform and constant magnetic field, which resembles some features of QCD.

Filiaciones:
Murguía G.:
 Instituto de Física, UNAM, Apartado Postal 20-364, 01000 México, DF, Mexico

Moreno M.:
 Instituto de Física, UNAM, Apartado Postal 20-364, 01000 México, DF, Mexico
ISSN: 03054470
Editorial
Institute of Physics Publishing
Tipo de documento: Article
Volumen: 36 Número: 10
Páginas: 2545-2553
WOS Id: 000182303400015
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