Role of inelastic scattering on nuclei in cosmic-ray muon transport through matter

Spectra of hadron showers formed by cosmic-ray muons in water are calculated for two models of inelastic muon scattering on nuclei. The shape of these spectra depends on the model, and the difference is rather significant (by a factor of ∼2) for showers with very high energies. It is demonstrated that the integral muon spectra at great depths in water, calculated for a hybrid model of muon-nucleus interaction, are also significantly distorted for E > 100 TeV in comparison with the spectra calculated for the generalized model of vector dominance. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 87–90, May, 2006.     

Cross section and transverse momentum of hadron interactions with air nuclei at primary cosmic ray energies of 0.3–5 PeV

The Tien Shan experimental data on hadrons with energies exceeding 0.5 TeV in extensive air showers (EAS) from primary cosmic rays with energies from 0.3 to 5 PeV are compared with the results of CORSIKA + QGSJET model simulations. Some conclusions are drawn on the increase of the cross section and transverse momentum in the hadron interactions with air atom nuclei from 0.1 TeV (accelerator with a fixed target) to 5 PeV (EAS) energies.     

Quark-gluon state of matter and positive excess of cosmic-ray muons at high energies

The problem of the relationship between the numbers of positively and negatively charged particles in the flux of cosmic-ray muons arriving at sea level with energies in excess of 0.1 TeV (up to 100 TeV) is discussed. It is shown that the formation of quark—gluon matter as the result of high-energy nuclear interactions leads to a reduction of the positive excess in cosmic-ray muons at the above energies. At the present time, the quark-gluon state of matter is studied in accelerator experiments at colliding-particle energies of up to √s = 200 GeV per nucleon. Estimates presented in this article for the positive excess of muons having energies of up to 3 or 4 TeV are based on available data from accelerator experiments; at higher muon energies, the respective estimates are based on extrapolating these data.     

Mass Composition of Cosmic Rays with Energies above 1017 eV According to the Data from the Muon Detectors of the Yakutsk EAS Array

The lateral distribution of muons in extensive air showers with energies above 1017 eV detected by underground scintillation detectors with a threshold of 1.0 GeV at the Yakutsk array in 1986–2016 has been analyzed. The experimental data on the muon flux density at a distance of 300 m from the shower axis have been compared to the calculations within various models of hadron interactions at ultrahigh energies. The experimental data are in the best agreement with the QGSJet01 and QGSJet II-04 models. The mass composition of cosmic rays in the energy range of (1–30) × 10¹⁷ eV changes from middle nuclei to a purely proton composition.

     

Portion of muons with a threshold energy above 1 GeV in extensive air showers with ultra-high energies,according to the Yakutsk EAS array data

Characteristics of the muon component in extensive air showers and the fluctuations of muons are considered. In this work, we compare experimental data with computations performed for various models of the hadron interactions of protons and iron nuclei. The aim of this analysis is to obtain information on the mass composition of cosmic rays in an ultra-high energy region.     

Intensity of muon bundles at large zenith angles and hadron interaction models at energy of 1018 eV

Characteristics of muon bundles detected with the DECOR detector are compared to predictions based on different hadron interaction models and various assumptions as to the spectrum and mass composition of primary cosmic rays. The intensity of primary cosmic rays derived from the muon bundle data is considerably higher than that measured by means of the fluorescence technique. Either changes in the hadron interaction characteristics at ultrahigh energies or a revision of the energy calibration in the fluorescence technique of measuring EAS energy is required to explain these results.     

Tycho’s supernova remnant as a source of cosmic rays in our galaxy

The Tycho’s supernova remnant was observed using the SHALON atmospheric Cherenkov telescope at the Tien Shan High-Altitude Observatory. This object has long been considered to be a candidate for sources of cosmic ray hadrons in the Northern Hemisphere. In [1, 2], the Tycho’s properties were described using the nonlinear kinetic model of cosmic ray acceleration in supernovae remnants. The expected γ-ray flux from π ⁰-decay extends to energies > 30 eV, whereas the γ-ray photon flux generated by inverse Compton scattering is cut off above several TeV. Therefore, the detection of γ-rays at energies of 10–80 TeV by the SHALON telescope is an indication of their hadron origin. From the SHALON telescope data, additional information on such parameters of the Tycho’s supernova remnant as the distance and interstellar medium density was obtained within the theory [1, 2].     

Measurement of energy of medium-mass and heavy cosmic-ray nuclei by a specific energy deposition at the maximum of hadron showers in dense matter

The possibility of measuring the energy of cosmic-ray nuclei (for energies higher than 1 TeV) by means of recording the greatest specific energy deposition in hadron showers generated in dense matter is investigated. This method makes it possible to improve the accuracy of energy measurements by thin calorimeters in studying high-energy cosmic rays at high altitudes. Attainable accuracies in measuring energy are considered for the cases of light and heavy nuclei. The results of a relevant simulation are compared with data from the Kosmos-1713 satellite-borne experiment.     

Extremely high energy cosmic rays

The evidence for the existence of cosmic rays with energies in excess of 10²⁰ eV is now overwhelming. There is so far no indication of the GZK cutoff in the energy spectrum at 5 × 10¹⁹ eV. This conclusion is not firm for lack of statistics. A cutoff would be expected if the sources of the cosmic rays were distributed uniformly throughout the cosmos. The sources of cosmic rays with energy above the GZK cutoff must be at a distance ≤ 100 Mpc, and if they are protons they are very likely to point to these sources. There are no easy explanations how known astrophysical objects can accelerate protons (or atomic nuclei) to these energies. This difficulty has led to speculation that there may be exotic sources such as topological defects which produce these energetic cosmic rays directly along with a copious supply of neutrinos of similar energy. The fluxes of these cosmic rays is very low and large instruments are required to observe them even with modest statistics. One such instrument, the Pierre Auger Observatory, is described. It is designed for all-sky coverage and the construction of its southern site will begin in Argentina in 1999.     

Features of cosmic ray variation at the phase of the minimum between the 23rd and 24th solar cycles

The minimum between the 23rd and 24th cycles of solar activity was unusually deep and extended. The modulation of cosmic rays was minimal for the more than 70-year-long period of direct measurements. The data from stratospheric measurements by the Lebedev Physical Institute suggest that the flux of cosmic rays with more than 100 MeV/nucleon of energy exceeded the highest ever observed level (May 1965) by almost 12%. However, the ground-based neutron monitors sensitive to relatively high energies indicated that the flux of cosmic rays increased by less than 3%. This work compares the variations in the cosmic rays over periods of five minima of solar activity (the 20th to the 24th cycle). It is shown that in late 2008, an extra flux of particles with energies less than several GeV/nucleon was detected in the Earth’s orbit. A similar (though far smaller in scale) phenomenon was also observed in 1987 at the same orientation of the Sun’s magnetic field A < 0, but was not observed in epochs where A > 0.     

Fluxes of high- and ultrahigh-energy cosmic-ray muons

The positive excess of cosmic-ray muons at energies higher than 1 TeV is estimated taking into account the data obtained from accelerator experiments on the production of particle and antiparticles in proton-proton interactions at energies of ～20 TeV. The fluxes of cosmic-ray muons at energies up to ～10¹¹ GeV and the production functions of muon bremsstrahlung photons at different depths in the atmosphere are calculated with due regard for the contribution from the decay of J/ψ mesons. The analysis performed is based on the accelerator data and their extrapolation to higher energies.     

Experimental study of hadronic interaction models using coincident data from EAS-TOP and MACRO

The contemporaneous measurement of TeV muons in deep underground laboratories and of the e.m. component at the surface allows checking the hadron interaction models and the propagation codes used in EAS experiments in a primary energy range 10–50 TeV in which the primary spectra are measured by direct experiments. First results of such measurements between MACRO and EAS-TOP at the Gran Sasso laboratory, in this energy range, are here reported.     

Ultra-high energy cosmic rays and prompt TeV gamma rays from gamma ray bursts

Gamma ray bursts (GRBs) have been proposed as one possible class of sources of the ultrahigh energy cosmic ray (UHECR) events observed up to energies ≳ 10²⁰ eV. The synchrotron radiation of the highest energy protons accelerated within the GRB source should produce gamma rays up to TeV energies. Here we briefly discuss the implications on the energetics of the GRB from the point of view of the detectability of the prompt TeV γ-rays of proton-synchrotron origin in GRBs in the up-coming ICECUBE muon detector in the south pole.     

Can EMMA solve the puzzle of the knee?

The knee is a change in the slope of the cosmic ray spectrum at approximate energy of 3 PeV. There are multiple competing models for the knee giving conflicting predictions about this change for different masses of the primary particle. Accurate mass measurements of cosmic rays spectra around 3 PeV would be able to exclude some of these models. Cosmic-ray experiment EMMA uses a new method for studying the composition of cosmic rays at the knee area. It is able to determine the multiplicity, the lateral distribution, and the arrival direction of incoming muons produced early in the shower evolution on an event-by-event basis and deduce from these measurements the mass and the energy of the primary particle. EMMA is situated at the depth of 75 m in the Pyhäsalmi mine, Finland. This rock overburden, which corresponds to 210 m of water equivalent, gives EMMA a cut-off energy of 50 GeV for vertical muons. Since the simulations using different air-shower models give similar predictions for the lateral distribution of these high energy muons, we are confident that EMMA should yield a reliable and an air-shower model independent data on the composition of cosmic rays around the knee region.     

Cosmic rays of energies in the range 103–105 TeV and higher

Over a period of more than 30 years, the knee in the spectrum of extensive air showers (EAS) generated by cosmic radiation has been explained in two ways: as a consequence of a cusp in the energy spectrum of primary cosmic rays or as a consequence of a change undergone by the process of multiparticle hadron production in the interactions of primary protons with nuclei of air atoms. Investigations at the Tien Shan EAS array confirm a change in the properties of showers generated by protons near the upper boundary of the atmosphere and evince the invariability of the energy spectrum of protons in the energy range 10³–10⁵ TeV.     

Estimation of The Cosmic Ray Mass Composition at Energy Above 10 17 eV According to Scintillation Detectors of the Yakutsk Array

The lateral distribution of cascade particles was studied in extensive air showers initiated by cosmic rays with energies above 1017 eV. The study is based on experimental data of ground-based and ground-shielded (with ∼1-GeV energy threshold) scintillation detectors of the Yakutsk EAS array collected during the continuous observational period from 1977 to 2017. Particle density measured in experiment is compared to the results of simulations performed with the use of several ultra-high energy hadron interaction models. The best agreement between theory and experiment was obtained for qgsjet01 and qgsjet ii-04 models. Interpretation of our data has indicated that within the energy range (1–30) × 1017 eV the cosmic ray mass composition changes from nuclei of intermediate group towards protons.     

Lateral distribution of EAS muons measured for the primary cosmic ray energy around 100 TeV

The muonic component of the extensive air showers (EAS) is of great importance for the astroparticle physics. It carries the information about the properties of primary cosmic ray (CR) particles, such as their mass, and electromagnetic and hadronic nature. It provides a sensitive test for the hadronic interaction models, which are inevitable for describing the cascade shower development of cosmic rays in EAS experiments. The YangBaJing Hybrid Array (YBJ-HA) experiment has been in operation since the end of 2016. Surface detectors are used for the measurements of primary energy, angular direction and core position of a shower event, while underground muon detectors are used for measuring the density of muons at various locations. Using the data obtained by the YBJ-HA experiment,this work reports the first measurement of the lateral muon distribution for the primary cosmic ray energy in the 100TeV region. The punch-through effect is evaluated via MC simulation.     

The possibility of searching for new physics in cosmic rays

One possible explanation of cosmic-ray energy spectrum behavior around the knee (3–5 PeV) by means of production of new heavy particles or a new state of matter is considered. It is shown that, in this case, a large excess of muons and neutrinos with energies of >100 TeV must be generated. The existing VHE muon experimental data are analyzed. Possible experiments on VHE muon investigations are discussed.     

Role of very-high-energy muons in generation of penetrating cascades in the Pamir experiment

The question of processes responsible for some unusual events with the energy deposition over 100 TeV recorded in X-ray emulsion chambers (XECs) of the Pamir experiment is still open. Among the events of this type are penetrating cascades in deep lead XECs. The evaluations show that these events can be qualitatively explained by multiple interactions of muons with energies in the PeV range. In this work, the expected number of penetrating cascades induced in the Pamir XECs by very-high-energy muons is calculated for different muon generation processes in the atmosphere.     

Energy spectrum of cosmic ray muons above 10 TeV according to BUST data

The energy spectrum of cosmic ray muons in the range of several TeV to PeV obtained through the analysis of multiple interactions of muons (the pair meter technique) in the Baksan Underground Scintillation Telescope (BUST) is presented. Results are compared with prior BUST data on the muon energy spectrum measurements and data of other experiments, along with calculations for different muon spectrum models.