Electron Capture and Scaling Anomaly in Polar Molecules

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dc.creatorGiri, Pulak Ranjan
dc.creatorGupta, Kumar S.
dc.creatorMeljanac, S.
dc.creatorSamsarov, A.
dc.date2007-03-13
dc.date.accessioned2026-07-07T11:44:07Z
dc.date.available2026-07-07T11:44:07Z
dc.descriptionWe 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.
dc.description4 pages, 1 figure, latex file
dc.identifierhttps://arxiv.org/abs/hep-th/0703121
dc.identifierhttp://arxiv.org/abs/hep-th/0703121
dc.identifierPhys.Lett.A372:2967-2970,2008
dc.identifierdoi:10.1016/j.physleta.2008.01.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201488
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleElectron Capture and Scaling Anomaly in Polar Molecules
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