Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Nuclear Physics B

DOI: 10.1016/j.nuclphysb.2024.116684

Authors: H. Bouguerne, B. Hamil, B.C. Lütfüoğlu, M. Merad

Institutions: Larbi Ben M'hidi University of Oum El Bouaghi, University Frères Mentouri Constantine 1, University of Hradec Králové

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministère de l'Enseignement Supérieur et de la Recherche Scientifique

Awards: G5998205424, G8419901557