Dunkl algebra and vacuum pair creation: Exact analytical results via Bogoliubov method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021735" target="_blank" >RIV/62690094:18470/24:50021735 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.nuclphysb.2024.116684" target="_blank" >https://doi.org/10.1016/j.nuclphysb.2024.116684</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nuclphysb.2024.116684" target="_blank" >10.1016/j.nuclphysb.2024.116684</a>

Result language
angličtina
Original language name
Dunkl algebra and vacuum pair creation: Exact analytical results via Bogoliubov method
Original language description
This paper examines the generation of scalar particle pairs resulting from the application of an external electric field's Coulomb potential in both three- and two-dimensional scenarios, employing Dunkl's formalism. In doing this, we present two distinct sets of exact solutions to the Dunkl-Klein-Gordon equation. Subsequently, we employ the canonical approach based on the Bogoliubov transformation to link the "in" and "out" states in order to compute both the probability of pair creation and the density of particle creation. It is shown that the conditions necessary for the creation of pairs of spinless particles depend on several factors: nucleus charge Z , quantum numbers, and Dunkl parameter. It is also shown that the Dunkl formalism enhances particle pair production.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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