Comments on the Hydrogen Atom Spectrum in the Noncommutative Space

Details Comments on the Hydrogen Atom Spectrum in the Noncommutative Space Comments on the Hydrogen Atom Spectrum in the Noncommutative Space

2002-12-20

arxiv.org/abs/hep-th/0212259v1

Eur.Phys.J.C36:251-252,2004

Physics

High Energy Physics

High Energy Physics - Theory

3 pages, latex, no figures

Scientific paper

10.1140/epjc/s2004-01886-1

There has been disagreement in the literature on whether the hydrogen atom spectrum receives any tree-level correction due to noncommutativity. Here we shall clarify the issue and show that indeed a general argument on the structure of proton as a nonelementary particle leads to the appearance of such corrections. As a showcase, we evaluate the corrections in a simple nonrelativistic quark model with a result in agreement with the previous one we had obtained by considering the electron moving in the external electric field of proton. Thus the previously obtained bound on the noncommutativity parameter, $\theta < (10^4 GeV)^{-2}$, using the Lamb shift data, remains valid.

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