Coupled fermion-antifermion pairs within a traversable wormhole
This study investigates the dynamics of fermion-antifermion (ff‾) pairs within a traversable wormhole (TWH) spacetime by solving the two-body covariant Dirac equation with a position-dependent mass m→m(r). In the context of a static, radially symmetric (2+1)-dimensional TWH characterized by a consta...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000735 |
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| author | Abdullah Guvendi Omar Mustafa Semra Gurtas Dogan |
| author_facet | Abdullah Guvendi Omar Mustafa Semra Gurtas Dogan |
| author_sort | Abdullah Guvendi |
| collection | DOAJ |
| description | This study investigates the dynamics of fermion-antifermion (ff‾) pairs within a traversable wormhole (TWH) spacetime by solving the two-body covariant Dirac equation with a position-dependent mass m→m(r). In the context of a static, radially symmetric (2+1)-dimensional TWH characterized by a constant redshift function and a given shape function, we explore two Lorentz scalar potentials: (i) a Coulomb-like potential and (ii) an exponentially decaying potential. The Coulomb potential leads to positronium-like binding energies, with the ground state (n=0) energy approximately Enb≈−mec2α2/4∼−6.803 eV. On the other hand, the exponential potential establishes critical mass thresholds, mc=(n+12)ħ2λcc, at which the energy approaches zero, causing the system to cease to exist over time. Stability is maintained when n+12<2, resulting in oscillatory behavior, while n+12>2 leads to decay. The energy spectrum reveals essential features of the system, and the wave function reflects the influence of the wormhole's throat, shaping spatial configurations and probability distributions. This work enhances our understanding of quantum phenomena in curved spacetimes and establishes connections to condensed matter physics. |
| format | Article |
| id | doaj-art-080ae6e9e6924f7d886b01cde71e596b |
| institution | DOAJ |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-080ae6e9e6924f7d886b01cde71e596b2025-08-20T03:05:55ZengElsevierPhysics Letters B0370-26932025-03-0186213931310.1016/j.physletb.2025.139313Coupled fermion-antifermion pairs within a traversable wormholeAbdullah Guvendi0Omar Mustafa1Semra Gurtas Dogan2Department of Basic Sciences, Erzurum Technical University, 25050, Erzurum, TurkiyeDepartment of Physics, Eastern Mediterranean University, 99628, G. Magusa, north Cyprus, Mersin 10, TurkiyeDepartment of Medical Imaging Techniques, Hakkari University, 30000, Hakkari, Turkiye; Corresponding author.This study investigates the dynamics of fermion-antifermion (ff‾) pairs within a traversable wormhole (TWH) spacetime by solving the two-body covariant Dirac equation with a position-dependent mass m→m(r). In the context of a static, radially symmetric (2+1)-dimensional TWH characterized by a constant redshift function and a given shape function, we explore two Lorentz scalar potentials: (i) a Coulomb-like potential and (ii) an exponentially decaying potential. The Coulomb potential leads to positronium-like binding energies, with the ground state (n=0) energy approximately Enb≈−mec2α2/4∼−6.803 eV. On the other hand, the exponential potential establishes critical mass thresholds, mc=(n+12)ħ2λcc, at which the energy approaches zero, causing the system to cease to exist over time. Stability is maintained when n+12<2, resulting in oscillatory behavior, while n+12>2 leads to decay. The energy spectrum reveals essential features of the system, and the wave function reflects the influence of the wormhole's throat, shaping spatial configurations and probability distributions. This work enhances our understanding of quantum phenomena in curved spacetimes and establishes connections to condensed matter physics.http://www.sciencedirect.com/science/article/pii/S0370269325000735Traversable wormholeFermion-antifermion dynamicsPosition-dependent massTwo-body Dirac equationQuantum dynamics in curved spacetimeLorentz scalar potentials |
| spellingShingle | Abdullah Guvendi Omar Mustafa Semra Gurtas Dogan Coupled fermion-antifermion pairs within a traversable wormhole Physics Letters B Traversable wormhole Fermion-antifermion dynamics Position-dependent mass Two-body Dirac equation Quantum dynamics in curved spacetime Lorentz scalar potentials |
| title | Coupled fermion-antifermion pairs within a traversable wormhole |
| title_full | Coupled fermion-antifermion pairs within a traversable wormhole |
| title_fullStr | Coupled fermion-antifermion pairs within a traversable wormhole |
| title_full_unstemmed | Coupled fermion-antifermion pairs within a traversable wormhole |
| title_short | Coupled fermion-antifermion pairs within a traversable wormhole |
| title_sort | coupled fermion antifermion pairs within a traversable wormhole |
| topic | Traversable wormhole Fermion-antifermion dynamics Position-dependent mass Two-body Dirac equation Quantum dynamics in curved spacetime Lorentz scalar potentials |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000735 |
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