Three Body Bound State in Non-Commutative Space

Abstract

The Bethe-Salpeter equation in non-commutative QED (NCQED) is considered for three-body bound state. We study the non-relativistic limit of this equation in the instantaneous approximation and derive the corresponding Schrödinger equation in non-commutative space. It is shown that the experimental data for Helium atom puts an upper bound on the magnitude of the parameter of non-commutativity, $\theta \sim 10^{-9}{\lambda }_e^2$.

10 pages, 3 figures, to appear in Phys. Rev. D

References in corpus (5)

• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• Aharonov-Bohm Effect in Noncommutative Spaces
• Positronium Hyperfine Splitting in Non-commutative Space at the Order ${\alpha }^6$
• One Loop Renormalization of Spontaneously Broken U(2) Gauge Theory on Noncommutative Spacetime
• Scalar-Scalar Bound State in Non-commutative Space

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• Massive Neutrino in Non-commutative Space-time
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• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
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• Bounds on the Parameter of Noncommutativity from Supernova SN1987A
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Constraints on Non-Commutative Physics Scale with Neutrino-Electron Scattering
• Higgs Couplings in NonCommutative Standard Model
• Noncommutative QED+QCD and $\beta$-function for QED
• Noncommutative Brownian motion
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• Two-particle system in Coulomb potential for twist-deformed space-time
• Amplitudes With Different Helicity Configurations Of Noncommutative QED