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KFM: Fachverband Kristalline Festkörper und deren Mikrostruktur
KFM 24: Spectroscopy and Microscopy II with Positrons
KFM 24.7: Talk
Thursday, March 15, 2018, 12:00–12:20, E 124
Bound state resonances as a simplified model for the scaling of Compton profiles — •Jakob Bonart, Michael Sekania, and Liviu Chioncel — TP III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, Germany
We recently showed that the shape of the Compton profiles of crystalline alkali metals can be fitted by a q-Gaussian distribution [M. Sekania et al., Physica A 489C, 18-27 (2018)], which implies a novel type of scaling of the Compton profiles. Here we discuss the correspondence between Compton scattering and the process in which a non-relativistic bound state absorbs a momentum. In our simplified model we derive the transition probability into the nth-bound level, demonstrate its scaling through the q-Gaussian scaling function, and connect the q-parameter to the shape of the confining potential. We propose that this mechanism causes the scaling of the Compton profiles of alkali metals.