{"title":"Fermion-antifermion pairs in magnetized spacetime generated by a point source","authors":"Abdullah Guvendi , Omar Mustafa","doi":"10.1016/j.nuclphysb.2025.116803","DOIUrl":null,"url":null,"abstract":"<div><div>In this research, we study fermion-antifermion pairs in a magnetized spacetime induced by a point-like source and characterized by an angular deficit parameter, <em>α</em>. In the rest frame, the relative motion (∝<em>r</em>) of these pairs is analyzed using exact solutions of a two-body Dirac equation with a position-dependent mass expressed as <span><math><mi>m</mi><mo>(</mo><mi>r</mi><mo>)</mo><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>+</mo><mi>S</mi><mo>(</mo><mi>r</mi><mo>)</mo></math></span>. We select the Lorentz scalar potential <span><math><mi>S</mi><mo>(</mo><mi>r</mi><mo>)</mo><mo>=</mo><mo>−</mo><msub><mrow><mi>α</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>/</mo><mi>r</mi></math></span>, which modifies the rest mass in a manner analogous to an attractive Coulomb potential, and derive analytical solutions to the resulting radial wave equation. Our findings are applicable to pairs in flat spacetime when <span><math><mi>α</mi><mo>=</mo><mn>1</mn></math></span> without loss of generality. We elucidate how the spectra of such pairs are influenced by the spacetime background. Additionally, we observe that even the well-known non-relativistic energy (<span><math><mo>∝</mo><msubsup><mrow><mi>α</mi></mrow><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msubsup></math></span>) reflects the influence of the parameter <em>α</em> in positronium-like fermion-antifermion systems. We propose that our results can also be extended to study charge carriers in magnetized monolayer materials. Furthermore, we demonstrate that the metric for a 2+1-dimensional spinning point source background can be transformed into the metric describing the near-horizon region of a rotating BTZ black hole, a result not previously reported in the literature. This metric holds potential for providing meaningful insights into topics such as holographic superconductivity and quantum critical phenomena in future research.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1011 ","pages":"Article 116803"},"PeriodicalIF":2.5000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321325000136","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
引用次数: 0
Abstract
In this research, we study fermion-antifermion pairs in a magnetized spacetime induced by a point-like source and characterized by an angular deficit parameter, α. In the rest frame, the relative motion (∝r) of these pairs is analyzed using exact solutions of a two-body Dirac equation with a position-dependent mass expressed as . We select the Lorentz scalar potential , which modifies the rest mass in a manner analogous to an attractive Coulomb potential, and derive analytical solutions to the resulting radial wave equation. Our findings are applicable to pairs in flat spacetime when without loss of generality. We elucidate how the spectra of such pairs are influenced by the spacetime background. Additionally, we observe that even the well-known non-relativistic energy () reflects the influence of the parameter α in positronium-like fermion-antifermion systems. We propose that our results can also be extended to study charge carriers in magnetized monolayer materials. Furthermore, we demonstrate that the metric for a 2+1-dimensional spinning point source background can be transformed into the metric describing the near-horizon region of a rotating BTZ black hole, a result not previously reported in the literature. This metric holds potential for providing meaningful insights into topics such as holographic superconductivity and quantum critical phenomena in future research.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.