An innovative model for coupled fermion-antifermion pairs
arXiv:2405.16290 · doi:10.1140/epjc/s10052-024-13192-9
Abstract
Understanding the behavior of fermion-antifermion (\(f\overline{f}\)) pairs is crucial in modern physics. These systems, governed by fundamental forces, exhibit complex interactions essential for particle physics, high-energy physics, nuclear physics, and solid-state physics. This study introduces a novel theoretical model using the many-body Dirac equation for \(f\overline{f}\) pairs with an effective position-dependent mass (i.e., \(m \rightarrow m + \mathcal{S}(r)\)) under the influence of an external magnetic field. To validate our model, we show that by modifying the mass with a Coulomb-like potential, \(m(r) = m - α/r\), where \(-α/r\) is the Lorentz scalar potential \(\mathcal{S}(r)\), our results match the well-established energy eigenvalues for \(f\overline{f}\) pairs interacting through the Coulomb potential, without approximation. By applying adjustments based on the Cornell potential (i.e., \(\mathcal{S}(r) = kr - α/r\)), we derive a closed-form energy expression. We believe this unique model offers significant insights into the dynamics of \(f\overline{f}\) pairs under various interaction potentials, with potential applications in particle physics. Additionally, it could be extended to various \(f\overline{f}\) systems, such as positronium, relativistic Landau levels for neutral mesons, excitons in monolayer transition metal dichalcogenides, and Weyl pairs in monolayer graphene sheets.
10 pages, no Figures, To appear in Eur. Phys. J C (2024)
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- Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
- Two-body Dirac equation in DSR: results for fermion-antifermion pairs
- On the Klein-Gordon scalar field oscillators in a spacetime with spiral-like dislocations in external magnetic fields
- Probing quantum criticality near the BTZ black hole horizon: Insights from coupled fermion-antifermion pairs
- Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"