dorsal/arxiv
View SchemaOn the Threshold for the Pair Production and Localization of Spinless Particles
| Authors | Tatiana R. Cardoso, Antonio S. de Castro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702143 |
| URL | https://arxiv.org/abs/quant-ph/0702143 |
| Journal | Rev.Bras.Ens.Fis.29:203-208,2007 |
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.
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"abstract": "The one-dimensional Klein-Gordon equation is investigated with the most\ngeneral Lorentz structure for the external potentials. The analysis of the\nscattering of particles in a step potential with an arbitrary mixing of vector\nand scalar couplings reveals that the scalar coupling contributes for\nincreasing the threshold energy for the particle-antiparticle pair production.\nFurthermore, it is shown that the pair production is only feasible whether the\nvector coupling exceeds the scalar one. An apparent paradox concerning the\nlocalization of a particle in an arbitrarily small region of space, due to the\npresence of the scalar coupling, is solved by introducing the concept of\neffective Compton wavelength.",
"arxiv_id": "quant-ph/0702143",
"authors": [
"Tatiana R. Cardoso",
"Antonio S. de Castro"
],
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"quant-ph"
],
"journal_ref": "Rev.Bras.Ens.Fis.29:203-208,2007",
"title": "On the Threshold for the Pair Production and Localization of Spinless Particles",
"url": "https://arxiv.org/abs/quant-ph/0702143"
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