Three Body Bound State in Non-Commutative Space

Details Three Body Bound State in Non-Commutative Space Three Body Bound State in Non-Commutative Space

2002-06-03

arxiv.org/abs/hep-th/0206019v3

Phys.Rev.D67:096003,2003

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.67.096003

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 Schr\"{o}dinger 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, $\theta\sim10^{-9}\lambda_e^2$.

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