Electron Capture and Scaling Anomaly in Polar Molecules

Details Electron Capture and Scaling Anomaly in Polar Molecules Electron Capture and Scaling Anomaly in Polar Molecules

2007-03-13

arxiv.org/abs/hep-th/0703121v1

Phys.Lett.A372:2967-2970,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure, latex file

Scientific paper

10.1016/j.physleta.2008.01.008

We present a new analysis of the electron capture mechanism in polar molecules, based on von Neumann's theory of self-adjoint extensions. Our analysis suggests that it is theoretically possible for polar molecules to form bound states with electrons, even with dipole moments smaller than the critical value D_0 given by 1.63\times10^{-18} esu cm. This prediction is consistent with the observed anomalous electron scattering in H_2S and HCl, whose dipole moments are smaller than the critical value D_0. We also show that for a polar molecule with dipole moment less than D_0, typically there is only a single bound state, which is in qualitative agreement with observations. We argue that the quantum mechanical scaling anomaly is responsible for the formation of these bound states.

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