On the Threshold for the Pair Production and Localization of Spinless Particles
Quantum Physics
2008-11-26 v1
Abstract
The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis of the scattering of particles in a step potential with an arbitrary mixing of vector and scalar couplings reveals that the scalar coupling contributes for increasing the threshold energy for the particle-antiparticle pair production. Furthermore, it is shown that the pair production is only feasible whether the vector coupling exceeds the scalar one. An apparent paradox concerning the localization of a particle in an arbitrarily small region of space, due to the presence of the scalar coupling, is solved by introducing the concept of effective Compton wavelength.
Keywords
Cite
@article{arxiv.quant-ph/0702143,
title = {On the Threshold for the Pair Production and Localization of Spinless Particles},
author = {Tatiana R. Cardoso and Antonio S. de Castro},
journal= {arXiv preprint arXiv:quant-ph/0702143},
year = {2008}
}
Comments
12 pages, in Portuguese