|
| related topics |
| {field, particle, equation} |
| {energy, state, states} |
| {information, entropy, channel} |
|
On the Threshold for the Pair Production and Localization of Spinless
Particles
Tatiana R. Cardoso, Antonio S. de Castro
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0702143
- categories:
- quant-ph
- comments:
- 12 pages, in Portuguese
- arxiv_id:
- quant-ph/0702143
- journal_ref:
- Rev.Bras.Ens.Fis.29:203-208,2007
- created:
- 2007-02-14
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