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[en] Complex tetrahedral heptahedron is suggested, taking semiconductive compounds of A3B5 type as examples. It enables to make graphic representations of all possible systems, which form during interaction of 16 salts, composed of four cations and four anions (Zn, Cd and Hg chalcogenides). 3 refs.; 7 figs
[en] Model complexity in amplitude analyses is often a priori under-constrained since the underlying theory permits a large number of possible amplitudes to contribute to most physical processes. The use of an overly complex model results in reduced predictive power and worse resolution on unknown parameters of interest. Therefore, it is common to reduce the complexity by removing from consideration some subset of the allowed amplitudes. This paper studies a method for limiting model complexity from the data sample itself through regularization during regression in the context of a multivariate (Dalitz-plot) analysis. The regularization technique applied greatly improves the performance. An outline of how to obtain the significance of a resonance in a multivariate amplitude analysis is also provided
[en] A Dalitz plot analysis of ∼ 13, 000 Ds+ decays to π+π+π- has been performed. A 384 fb-1 data sample, recorded by the BABAR detector at the PEP-II asymmetric-energy e+e- storage ring running at center of mass energies near 10.6 GeV, is used. Amplitudes and phases of the intermediate resonances which contribute to this final state are measured. A high precision measurement of the ratio: Β(Ds+ → π+π+π-)/Β(Ds+ → K+K-π+) = 0.199 ± 0.004 ± 0.006 is performed. Using a model independent partial wave analysis the amplitude and phase of the S-wave have been measured
[en] In this paper we analyze the frequency response of a distributed parameters non-linear circuit. This circuit is a fractal model of an electrode-electrolyte interface. The results show that the series equivalent resistance R eq decreases as the number of fractal levels rises. Its frequency behavior is similar to the results described by other authors that used a constant phase angle element. At low frequency range, the series equivalent reactance X eq decreases with frequency and R eq shows a flat response in this range. The model also explains how interface geometry modifies the values of some electrochemical parameters. As roughness increases the Argand diagram shows smaller semicircles. The model behavior is like a single dispersion system with its central frequency increasing with the electrode roughness
[en] We discuss properties of three-particle Dalitz distributions in coupled channel systems in presence of triangle singularities. The single channel case was discussed long ago  where it was found that as a consequence of unitarity, effects of a triangle singularity seen in the Dalitz plot are not seen in Dalitz plot projections. In the coupled channel case we find the same is true for the sum of intensities of all interacting channels. Unlike the single channel case, however, triangle singularities do remain visible in Dalitz plot projections of individual channels.