On the Threshold for the Pair Production and Localization of Spinless Particles

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dc.creatorCardoso, Tatiana R.
dc.creatorde Castro, Antonio S.
dc.date2007-02-14
dc.date.accessioned2026-07-07T10:38:49Z
dc.date.available2026-07-07T10:38:49Z
dc.descriptionThe 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.
dc.description12 pages, in Portuguese
dc.identifierhttps://arxiv.org/abs/quant-ph/0702143
dc.identifierhttp://arxiv.org/abs/quant-ph/0702143
dc.identifierRev.Bras.Ens.Fis.29:203-208,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180856
dc.subjectQuantum Physics
dc.titleOn the Threshold for the Pair Production and Localization of Spinless Particles
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