The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe
We study pair production processes from vacuum of scalar particles and fermions in the presence of an external Coulomb field on de Sitter expanding universe assuming that, the quantum fields are minimally coupled with gravity. Our study is done in the chart with spherical space coordinates and the p...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132200147X |
| _version_ | 1818552536890605568 |
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| author | Mihaela-Andreea Băloi |
| author_facet | Mihaela-Andreea Băloi |
| author_sort | Mihaela-Andreea Băloi |
| collection | DOAJ |
| description | We study pair production processes from vacuum of scalar particles and fermions in the presence of an external Coulomb field on de Sitter expanding universe assuming that, the quantum fields are minimally coupled with gravity. Our study is done in the chart with spherical space coordinates and the produced particles are described by the spherical wave solutions of the field equations. In this chart we define the transition amplitude in the first order of perturbation theory and we obtain for the first time the dependence of the probability on the angular quantum numbers. Our analytical results show that, the angular momentum of the produced particles is conserved in the sense that the quantum numbers are related through the following relations: ℓ=ℓ′ and m=−m′. Our graphical results show that, the most probable transitions are those that generate particles with small angular momentum. We obtain that, this process is significant when the Hubble's constant is large and vanishes in the Minkowski limit. |
| first_indexed | 2024-12-12T09:14:29Z |
| format | Article |
| id | doaj.art-80409586569c495bab6433356b07094b |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-12T09:14:29Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-80409586569c495bab6433356b07094b2022-12-22T00:29:26ZengElsevierNuclear Physics B0550-32132022-07-01980115796The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universeMihaela-Andreea Băloi0West University of Timişoara, V. Pârvan Avenue 4, RO-300223 Timişoara, RomaniaWe study pair production processes from vacuum of scalar particles and fermions in the presence of an external Coulomb field on de Sitter expanding universe assuming that, the quantum fields are minimally coupled with gravity. Our study is done in the chart with spherical space coordinates and the produced particles are described by the spherical wave solutions of the field equations. In this chart we define the transition amplitude in the first order of perturbation theory and we obtain for the first time the dependence of the probability on the angular quantum numbers. Our analytical results show that, the angular momentum of the produced particles is conserved in the sense that the quantum numbers are related through the following relations: ℓ=ℓ′ and m=−m′. Our graphical results show that, the most probable transitions are those that generate particles with small angular momentum. We obtain that, this process is significant when the Hubble's constant is large and vanishes in the Minkowski limit.http://www.sciencedirect.com/science/article/pii/S055032132200147X |
| spellingShingle | Mihaela-Andreea Băloi The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe Nuclear Physics B |
| title | The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe |
| title_full | The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe |
| title_fullStr | The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe |
| title_full_unstemmed | The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe |
| title_short | The production of particles with well determined angular momentum in external Coulomb field on de Sitter expanding universe |
| title_sort | production of particles with well determined angular momentum in external coulomb field on de sitter expanding universe |
| url | http://www.sciencedirect.com/science/article/pii/S055032132200147X |
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