Elastic scattering of electron by a Yukawa potential in non-commutative spacetime

• URL: http://arxiv.org/abs/2410.15220v1
• Date: Sat, 19 Oct 2024 21:33:11 GMT
• Title: Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
• Authors: Abdellah Touati,
• Abstract summary: We investigate the elastic scattering of an electron by a Yukawa potential within the framework of non-commutative (NC) geometry. Our results indicate that non-commutativity enhances the differential cross section at small scattering angles. We establish a direct relationship between the system's energy level and the bound on the NC parameter.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we investigate the elastic scattering of an electron by a Yukawa potential within the framework of non-commutative (NC) geometry. We first derive the NC correction to the Yukawa potential at leading order in the NC parameter, resulting in a modified potential resembling a screened Kratzer potential. This potential reduces to the standard Kratzer form when considering the NC correction to the Coulomb potential. Subsequently, we calculate the NC correction to the electron scattering amplitude using the first-order Born approximation. We then analyze the effects of NC geometry on both the differential and total cross sections for elastic scattering. Our results indicate that non-commutativity enhances the differential cross section at small scattering angles and naturally gives rise to a Kratzer-like potential, reflecting the quantum nature of spacetime. Additionally, we establish a direct relationship between the system's energy level and the bound on the NC parameter. Specifically, for an ultra-relativistic incident electron scattering by a heavy molecule, we derive a new lower bound on $\Theta$ of the order of $10^{-28}\,\text{m}$.

Related papers

• Dirac equation in a gauge-field background in the Moyal plane [0.10713888959520207]
  The dynamics of a noncommutative system is dictated by the standard form of Lorentz force law. The Hall effect is studied using the NC corrected fields in the non-relativistic (NR) limit.
  arXiv  Detail & Related papers  (2025-01-24T14:07:27Z)
• A New Bite Into Dark Matter with the SNSPD-Based QROCODILE Experiment [55.46105000075592]
  We present the first results from the Quantum Resolution-d Cryogenic Observatory for Dark matter Incident at Low Energy (QROCODILE) The QROCODILE experiment uses a microwire-based superconducting nanowire single-photon detector (SNSPD) as a target and sensor for dark matter scattering and absorption. We report new world-leading constraints on the interactions of sub-MeV dark matter particles with masses as low as 30 keV.
  arXiv  Detail & Related papers  (2024-12-20T19:00:00Z)
• Dipole-dipole interactions mediated by a photonic flat band [44.99833362998488]
  We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB)<n>We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length.<n>We find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D.
  arXiv  Detail & Related papers  (2024-05-30T18:00:05Z)
• Influence of catastrophes and hidden dynamical symmetries on ultrafast backscattered photoelectrons [0.0]
  We discuss the effect of using potentials with a Coulomb tail and different degrees of softening in the photoelectron momentum distributions. We show that introducing a softening in the Coulomb interaction influences the ridges observed in the PMDs associated with backscattered electron trajectories.
  arXiv  Detail & Related papers  (2024-03-04T17:53:01Z)
• Spin-dependent edge states in two-dimensional Dirac materials with a flat band [0.0]
  We investigate spin-dependent Dirac electron optics in 2D pseudospin-1 Dirac materials. electrons with a specific spin orientation (e.g., spin-down) can be trapped in a class of long-lived edge modes, generating resonant scattering.
  arXiv  Detail & Related papers  (2024-02-22T03:24:48Z)
• Modified attractive inverse-square potential in the induced electric dipole system [0.0]
  Investigation unveils the emergence of a distinct modified attractive-inverse square potential. We present compelling evidence for the realization of a discrete energy spectrum within this intricate system.
  arXiv  Detail & Related papers  (2024-02-06T10:48:44Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• A planar defect spin sensor in a two-dimensional material susceptible to strain and electric fields [0.0]
  boron-vacancy spin defect ($textV_textB-$) in hexagonal boron nitride (hBN) has a great potential as a quantum sensor in a two-dimensional material. We apply first principles calculations to determine the coupling of the $textV_textB-$ electronic spin to strain and electric fields.
  arXiv  Detail & Related papers  (2023-04-02T09:11:10Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• A first-principles calculation of electron-phonon interactions for the $\text{C}_2\text{C}_\text{N}$ and $\text{V}_\text{N}\text{N}_\text{B}$ defects in hexagonal boron nitride [52.77024349608834]
  Quantum emitters in two-dimensional hexagonal boron nitride (h-BN) have generated significant interest. Recent observations of Fourier transform (FT) limited photons emitted from h-BN flakes at room temperature.
  arXiv  Detail & Related papers  (2022-07-28T23:31:38Z)
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling [2.6855505491859755]
  We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC) As an application, we apply our pseudopotential with the Lippmann-Schwinger equation to obtain an analytical scattering matrix.
  arXiv  Detail & Related papers  (2022-02-11T03:52:40Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• Effect of phonons on the electron spin resonance absorption spectrum [62.997667081978825]
  We model the effect of phonons and temperature on the electron spin resonance (ESR) signal in magnetically active systems. We find that the suppression of ESR signals is due to phonon broadening but not based on the common assumption of orbital quenching.
  arXiv  Detail & Related papers  (2020-04-22T01:13:07Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.