Short-lived Quantum Entanglement in Neutron Compton Scattering
Final Report Abstract
The anomaly of the neutron scattering cross section of protons has been proven not to depend on the details of proton momentum distribution in ammonium hexachlorometallates under investigation. This means that the fact that protons seem to become "invisible" for impinging neutrons seems not to be connected with their dynamical behavior during the scattering time but rather with the fact that the scattering time itself is in the attosecond range. A detailed protocol has been established how to calculate proton momentum distribution using ab initio methods of quantum chemistry. This protocol is different fro isolated molecules and condensed matter systems. However, for both classes of samples the way to calculate the momentum distribution is via detailed analysis of translational, rotational and vibrational motion. In condensed matter systems this analysis boils down to the calculation of the phonon spectrum of a crystalline phase. A new data treatment protocol has been established that makes use of the information available only at peak centers of time of flight spectra recorded in a neutron scattering experiment. This has turned out to be the closest possible realization of the proposed constant momentum transfer (constant q) method. The method established can be directly compared and contrasted with results of other spectroscopic investigations using neutrons. A detailed description of asymptotic properties of NCS scattering has been provided. It has been proven, one and for all, that the mathematical description of NCS holds and does not lead to any artifacts in the process of data treatment from the NCS experiments.
Publications
- A new data treatment scheme for integrated intensities in neutron Compton scattering. J. Phys.: Condens. Matter 20 104249 (2008)
M. Krzystyniak, C.A. Chatzidimitriou-Dreismann
- Asymptotic properties of the scattering function in neutron Compton scattering I: Constant scattering angle vs. constant momentum transfer scan, Physica B, 403, 3443 (2008)
M. Krzystyniak, C.A. Chatzidimitriou-Dreismann
- Neutron Compton scattering from ammonium hexachlorometallates: comparison of convolution approximation with model-free data treatment, J. Phys.: Condens. Matter 21, 075502 (2009)
M. Krzystyniak, M. Lerch, C.A. Chatzidimitriou-Dreismann, Z. Lalowicz
