Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
arXiv:2410.15220 · doi:10.1016/j.physletb.2025.139598
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 of the order of .
References in corpus (23)
- String Theory and Noncommutative Geometry
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Field Theory and Lorentz Violation
- Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
- Signals for Non-Commutative Interactions at Linear Colliders
- Non-Commutative GUTs, Standard Model and C,P,T
- Constraining non-commutative space-time from GW150914
- Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups
- Scattering of twisted electron wave-packets by atoms in the Born approximation
- What are the Bounds on Space-Time Noncommutativity?
- Geodesic equation in non-commutative gauge theory of gravity
- The Aharonov-Casher effect for spin-1 particles in non-commutative quantum mechanics
- New treatment of the noncommutative Dirac equation with a Coulomb potential
- Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- A New Limit for the Non-Commutative Space-Time Parameter
- String Theory, Space-Time Non-Commutativity and Structure Formation
- The inclusive b -> s γdecay in the noncommutative standard model
- Noncommutative of space-time and the relativistic Hydrogen atom
- Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
- New exact solution of Dirac-Coulomb equation with exact boundary condition
- Higgs distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model
- Relativistic Spectrum of Hydrogen Atom in Space-Time Non-Commutativity