Multifractal analysis is carried out for the interactions of 4.5 A and 14.5 A GeV/c 28 Si beams with emulsion, CNO and AgBr targets using the standard method of Gq moments. The Rényi dimensions Dq are evaluated and the results on self-similar multifractal spectra are presented. The variation of Dq with q is looked into and the findings reveal that the behaviour is in consistency with the multifractal characteristic of the multiplicity distributions in the various interactions studied. The self-similar multifractal spectra are found to be concave downwards with maximum at αq = 0. Further, Lévy stability analysis is carried out for these interactions. The Lévy stability index μ extracted from multifractal spectrum is found to lie in the range [0, 2] in agreement with the Lévy stability theory.
In this paper, we investigate thermal pairwise quantum correlation for any pair of spins of a mixed-three-spin XXX Heisenberg system (with spins connected together with the nearest-neighbour (NN) and that of the next-nearest-neighbour (NNN) coupling constants J 1 and J 2 ) by means of concurrence and quantum discord, as functions of temperature T , magnetic field B and the coupling constants J 2 and J 1 . Some comparisons between these measures of entanglement are done for next-nearest-neighbour spins. We also express some magnetic properties and discuss the behaviour of the system in some special critical points. Some interesting and novel discussions are done to introduce some entanglement witnesses.
Neutrino oscillation parameters can be understood in a better way by building a more complete picture of neutrino interactions. This poses a series of important theoretical and experimental challenges, given the elusive nature of neutrino and an inherent difficulty in its detection. This work is an attempt to study the neutrino interactions through a purely theoretical approach using the concept of vacuum fluctuation particle pairs, where an antiparticle from a virtual particle pair is captured via annihilation, allowing the matter particle of the virtual pair to become free. Though experiments are trying hard to shed more light on neutrino interactions, our knowledge of neutrino oscillation parameters is not precise at different energy levels. In this context, one cannot help but give a bold try to marvel at how far our theoretical frameworks can extend.
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