Report on Tests and Measurements of Hadronic Interaction Properties with Air Showers

We present a summary of recent tests and measurements of hadronic interaction properties with air showers. This report has a special focus on muon density measurements. Several experiments reported deviations between simulated and recorded muon densities in extensive air showers, while others reported no discrepancies. We combine data from eight leading air shower experiments to cover shower energies from PeV to tens of EeV. Data are combined using the z-scale, a unified reference scale based on simulated air showers. Energy-scales of experiments are cross-calibrated. Above 10 PeV, we find a muon deficit in simulated air showers for each of the six considered hadronic interaction models. The deficit is increasing with shower energy. For the models EPOS-LHC and QGSJet-II.04, the slope is found significant at 8 sigma.Comment: Submitted to the Proceedings of UHECR201

The current status of orbital experiments for UHECR studies

Two types of orbital detectors of extreme energy cosmic rays are being developed nowadays: (i) TUS and KLYPVE with reflecting optical systems (mirrors) and (ii) JEM-EUSO with high-transmittance Fresnel lenses. They will cover much larger areas than existing ground-based arrays and almost uniformly monitor the celestial sphere. The TUS detector is the pioneering mission developed in SINP MSU in cooperation with several Russian and foreign institutions. It has relatively small field of view (+/-4.5 deg), which corresponds to a ground area of 6.4x10^3 sq.km. The telescope consists of a Fresnel-type mirror-concentrator (~2 sq.m) and a photo receiver (a matrix of 16x16 photomultiplier tubes). It is to be deployed on the Lomonosov satellite, and is currently at the final stage of preflight tests. Recently, SINP MSU began the KLYPVE project to be installed on board of the Russian segment of the ISS. The optical system of this detector contains a larger primary mirror (10 sq.m), which allows decreasing the energy threshold. The total effective field of view will be at least +/-14 degrees to exceed the annual exposure of the existing ground-based experiments. Several configurations of the detector are being currently considered. Finally, JEM-EUSO is a wide field of view (+/-30 deg) detector. The optics is composed of two curved double-sided Fresnel lenses with 2.65 m external diameter, a precision diffractive middle lens and a pupil. The ultraviolet photons are focused onto the focal surface, which consists of nearly 5000 multi-anode photomultipliers. It is developed by a large international collaboration. All three orbital detectors have multi-purpose character due to continuous monitoring of various atmospheric phenomena. The present status of development of the TUS and KLYPVE missions is reported, and a brief comparison of the projects with JEM-EUSO is given.Comment: 18 pages; based on the rapporteur talk given by M.I. Panasyuk at ECRS-2014; v2: a few minor language issues fixed thanks to the editor; to be published in the proceeding

Upgrading corporate equipment as an Asian real option

© Medwell Journals, 2016.A method for handling the problem of financial mission statement has been suggested to evaluate effects of projected upgrading equipment of a manufacturing company. For this end such project is analyzed as an Asian real option with constant business volatility. The problem is solved using the Black-Scholes Model, a refined and modified binomial model and a modified trinomial model. It has been demonstrated that the most accurate valuation of the option and the entire project in general is provided by the trinomial model. Also this study establishes a degree of influence between an inflation rate and a risk-free investment rate on the precision of estimated value of an Asian real option. It has been shown with an example that in the event of advancing by the inflation rate beyond profitability of risk-free investments which is typical for Russia, an option valuation in a trinomial lattice will be lower than that in a binomial lattice. The result serves a useful purpose for analysts considering the fact that a trinomial model is a more accurate discrete model than a binomial model

Upgrading corporate equipment as an asian real option

A method for handling the problem of financial mission statement has been suggested to evaluate effects of projected upgrading equipment of a manufacturing company. For this end, such project is analyzed as an Asian real option with constant business volatility. The problem is solved using the Black-Scholes model, a refined and modified binomial model and a modified trinomial model. It has been demonstrated that the most accurate valuation of the option and the entire project in general is provided by the trinomial model. Also this paper establishes a degree of influence between an inflation rate and a risk-free investment rate on the precision of estimated value of an Asian real option. It has been shown with an example that in the event of advancing by the inflation rate beyond profitability of risk-free investments, which is typical for Russia, an option valuation in a trinomial lattice will be lower than that in a binomial lattice. The result serves a useful purpose for analysts considering the fact that a trinomial model is a more accurate discrete model than a binomial model