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COMMON PART


Project Number19-12-00369

Project titleDetailed study of interaction between radiation and matter in astrophysical sources for benefits of the physics of objects and cosmology

Project LeadSunyaev Rashid

AffiliationSpace Research Institute of the RAS,

Implementation period 2019 - 2021  extension for 2022 - 2023

PROJECT EXTENSION CARD

Research area 02 - PHYSICS AND SPACE SCIENCES, 02-705 - Galaxy and Metagalaxy

Keywordsastrophysics, cosmology, X-ray astronomy, interaction of matter and radiation under extreme astrophysical conditions, high-energy astrophysics, space research


 

PROJECT CONTENT


Annotation
This project is devoted to discussion of some of the most important tasks of astrophysics and cosmology, in which a detailed analysis of the processes of interaction of matter and radiation makes it possible to obtain non-trivial information about the objects under study. Among these objects: i) galaxy clusters which are the most massive virialized objects in the Universe, more than 80% mass of which is contributed by dark matter, ii) molecular clouds irradiated by a supermassive black hole in the center of our Galaxy, iii) progenitors of type Ia supernovae, which are used as standard candles in observational cosmology. All the objects under study are powerful sources of X-ray radiation, while scattering and absorption of photons (x-ray, ultraviolet or microwave) in their medium plays a crucial role in the formation of their emission spectra. In each of these areas, the group has many years of successful theoretical and experimental research, allowing to formulate the most interesting current tasks, as well as be sure that further work will reveal the best ways to observationally verify the obtained results and will lead to a deeper understanding of the nature of the objects and ways to use them for observational cosmology and astrophysics. Studies of this type are important for interpreting the data of the current and future all- sky surveys in microwave (South Pole Telescope and Atacama Cosmology Telescope Surveys) and X-rays (SRG/eRosita and IXPE mission for X-ray polarimetry, prepared by NASA), which are intended for extensive observations of the objects under discussion in order to use them for the benefits of cosmology.

Expected results
Among the expected results of this project are the following: 1) New methods will be developed for joint analysis of data from orbital X-ray observatories and ground-based telescopes operating in the millimeter wavelength range, which allows for obtaining nontrivial restrictions on the dynamic state of gas in clusters of galaxies. 2) Constraints will be obtained on the transport coefficients in a hot plasma of clusters of galaxies, which allow analyzing their influence on gas dynamics and on models of the interaction of supermassive black holes with gas. 3) New constraints on the contribution of accreting white dwarfs to the production of type Ia supernovae will be obtained. In particular: a) According to the results of optical IFU spectroscopy of young supernova remnants, constraints on the characteristic X-ray and UV luminosity of the precursors will be obtained on time scales of the order of the recombination time of the surrounding gas, which is on the order of 1e5 years. b) Ionization zones around ultra-soft X-ray sources will be investigated using the methods of spatially resolved optical IFU spectroscopy. For weaker sources, constraints on their surface brightness will be obtained. The influence of accretion variability on the structure of ionization zones around an accreting white dwarf will be theoretically investigated. A comparison of the observed high-resolution optical spectra with the results of theoretical calculations of the ionization of the interstellar medium by the radiation of an accreting white dwarf will make it possible to obtain constraints both on the parameters of the interstellar medium and on the accretion history of the white dwarf. Methods of reliable measurement of the statistical properties of the gas density field inside molecular clouds based on the reflection signal from a short X-ray flare of Sgr A * will be developed and applied to real data. Using this measurement, information will be obtained on the properties of turbulence inside molecular clouds in the Galactic Center. The methods of cross-calibration of the intensity of radiation in the lines of molecular transitions with the total density of the molecular gas, measured by X-ray reflection, will be developed and applied. Such an analysis will allow to combine various data sets to obtain a more complete picture of the chemical diversity and conditions of the formation and "survival" of various molecular species in the conditions of the Galactic center. All these results are of great interest for wide areas of astrophysics and cosmology and correspond to the world level.


 

REPORTS


Annotation of the results obtained in 2021
A wide-angle map of the supernova remnant Puppis A at energies above 4 keV has been obtained using the ART-XC Pavlinsky X-ray telescope on-board Spektr-RG. An article describing the work will be published in a peer-reviewed journal. A review of the most important results of the INTEGRAL observatory on sky mapping and cataloguing of X-ray radiation sources has been prepared. The uniqueness of wide-angle X-ray surveys of the Galaxy at energies of the hard X-ray energy range is demonstrated. An overview of the results of measuring the cosmic X-ray background using unique Earth shading maneuvers carried out at the INTEGRAL observatory is also presented. A study of the long-term evolution of the intensity of the massive molecular cloud Sagittarius B2 in the galactic centre was carried out using data from the INTEGRAL observatory in 2003-2019. It is shown that after the previously observed decrease in the reflected radiation flux in 2003-2009, constant radiation at a level of 1 mCrab in the range of 30-80 keV is observed. The X-ray spectrum of Sgr B2 is well described by a power law with a slope Γ = 1.4 and an exponential cutoff at an energy of about 43 keV. The residual radiation of the Sgr B2 molecular cloud in 2011-2019 is in good agreement with the models of a reflected X-ray flare from an external X-ray source, as well as with models of ionization of the cloud's neutral gas by low-energy particles of cosmic rays. However, the latter model predicts the amount of ionization of the interstellar medium, which is not confirmed by other experiments, which makes the model of ionization by cosmic rays less plausible. The data of the Coma cluster observations in the X-ray band with SRG/eROSITA have been analysed. The data cover a ~3°×3° area around the cluster with a typical exposure time of more than 20 ks. The stability of the instrumental background and operation of the SRG observatory in the scanning mode provided us with an excellent data set for studies of the diffuse emission up to a distance of ~1.5R200 from the Coma centre. In this study, we discuss the rich morphology revealed by the X-ray observations (also in combination with the SZ data) and argue that the most salient features can be naturally explained by a recent (ongoing) merger with the NGC 4839 group. The gas in the Coma core went through two shocks, first through the shock driven by NGC 4839 during its first passage through the cluster some gigayear ago and, more recently, through the "mini-accretion shock" associated with the gas settling back to quasi-hydrostatic equilibrium in the core. After passing through the primary shock, the gas should spend much of the time in a rarefaction region, where radiative losses of electrons are small, until the gas is compressed again by the mini-accretion shock. Unlike "runway" merger shocks, the mini-accretion shock does not feature a rarefaction region downstream and, therefore, the radio emission can survive longer. Such a two-stage process might explain the formation of the radio halo in the Coma cluster. A new X-ray-selected supernova remnant (SNR) candidate SRGe J0023+3625 = G116.6-26.1 was found in the SRG/eROSITA all-sky survey. The source features a large angular extent (~4 degrees in diameter), nearly circular shape, and X-ray spectrum dominated by emission lines of helium- and hydrogen-like oxygen. It lacks bright counterparts of similar extent at other wavelengths which could be unequivocally associated with it. Given the relatively high Galactic latitude of the source, |b|~26 degrees, we interpret these observational properties as an indication of the off-disc location of this SNR candidate. Namely, we propose that this object originated from a Type Ia supernova which exploded some 40 000 yr ago in the low density gas of the Milky Way halo at a distance of ~3 kpc from the Sun. The low density of the halo gas implies that the cooling and collisional ionization equilibrium (CEI) time-scales downstream of the forward shock are much longer than the age of the SNR. This results in a relatively soft spectrum, reflecting pre-shock ionization state of the gas, and strong boost in the plasma emissivity (compared to CEI) due to enhanced collisional excitation through the increased electron temperature. If confirmed, such a rare object would provide us with a unique 'in situ' probe of physical conditions (density, temperature and metallicity) near the interface between the Milky Way's disc and the halo. Recently, Medvedev et al. 2020 discovered X-ray emission from the quasar CFHQS J142952+544717 at redshift z = 6.18 in the SRG/eROSITA all-sky survey. We obtained additional observations of CFHQS J14+54 using the XMM-Newton orbital observatory. A detailed analysis of the data performed in Medvedev et al. 2021 has shown that the X-ray luminosity of this quasar is ~ 10 ^ 46 erg/sec and turns out to be hundreds of times higher than the luminosity of known quasars at redshifts z > 6. In this work, we estimated the mass of a supermassive black hole (SMBH) in CFHQS J14+54 at the level of > 2 x 10^9 solar masses. How SMBHs with such great masses appeared in the early Universe (the quasar redshift corresponds to the age of the Universe of ~ 1 billion years) is still one of the most intriguing questions in astrophysics today. The found quasar is "radio-loud", that means it has powerful emission in the radio range. It is commonly believed that such radiation is generated by relativistic charged particles produced in jets of quasars. However, CFHQS J14+54 is unlikely to be a blazar, so its high X-ray luminosity is unlikely to be related to the Doppler boosting effect. We put forward the hypothesis that the extreme X-ray properties of CFHQS J14+54 could be associated with the inverse Compton scattering of cosmic microwave background photons (at z = 6.18) off relativistic electrons in the jets. If so, CFHQS J14+54 along with SRGe J170245.3+130104, recently discovered in the SRG/eROSITA all-sky survey (z = 5.5, Khorunzhev et al 2021), might be the tip of the iceberg of high-z quasars with enhanced X-ray emission. X-ray reflection off dense molecular clouds in the Galactic Centre region has established itself as a powerful probe for the past activity record of the supermassive black hole Sgr A* on a timescale of a few hundred years. Detailed studies of the reflection signal from individual clouds allow us to estimate parameters of the brightest flare(s) and explore properties of the dense gas distribution inside and around them. On the other hand, wide area surveys covering the full Central Molecular Zone are crucial to spot brightening of the new clouds and long-term decay of the flux from the once bright ones. We present and discuss the data obtained by the SRG/eROSITA telescope in the course of its commissioning observations in late 2019 in regard to the X-ray reflection off CMZ clouds located to the East of Sgr A*. We measure the 4-8 keV flux from the currently brightest (in reflected emission) molecular complex Sgr A and derive upper limits for other molecular complexes. We confirm that the Sgr A complex keeps being bright at the level of 4e-13 erg/s/cm2/arcmin2, making it an excellent target for the deep forthcoming high resolution imaging and polarimetric observations. We also describe distinct features of the reflected emission from the clouds for which the primary illumination front has already passed away and the observed signal is dominated by multiply scattered radiation. The ionization state of the circumbinary material in symbiotic systems was studied with the help of the two-dimensional photoionization calculations based on the CLOUDY code and their emission-line spectra were predicted. The simulations are parameterised via the orbital parameters of the binary and the wind mass-loss rate of the donor star, while the mass accretion rate, temperature and luminosity of the white dwarf are computed self-consistently. The parameter space of symbiotic binaries was explored and luminosities of various astrophysically important emission lines computed. The line ratios were compared with traditional diagnostic diagrams used to distinguish symbiotic binaries from other types of sources, and it is shown how the binary system parameters shape these diagrams. In the significant part of the parameter space, the wind material is nearly fully ionized, except for the ‘shadow’ behind the donor star, so the white dwarf emission is typically freely escaping the system. The X-ray emission from the counterparts of historical classical novae in our Galaxy is studied. For this purpose, the data from three SRG/eROSITA sky surveys were used. We obtained distributions of the accretion rate of classical novae and stationary supersoft sources, and showed that these two classes of accreting white dwarfs occupy different, non-intersecting intervals in the accretion rate. Several super soft X-ray sources have been discovered that are associated with the post-nova supersoft X-ray emission. The X-ray spectra of sources of classical novae in a quiescent state have been investigated and it has been demonstrated that some of them are close in their X-ray properties to intermediate polars.

 

Publications

1. Churazov E., Khabibullin I., Lyskova N., Sunyaev R., Bykov A. M. Tempestuous life beyond R500: X-ray view on the Coma cluster with SRG/eROSITA. I. X-ray morphology, recent merger, and radio halo connection Astronomy & Astrophysics, Volume 651, Article Number A41 (year - 2021) https://doi.org/10.1051/0004-6361/202040197

2. Churazov E.M., Khabibullin I.I., Bykov A.M., Chugai N.N., Sunyaev R.A., Zinchenko I.I. SRG/eROSITA discovery of a large circular SNR candidate G116.6−26.1: SN Ia explosion probing the gas of the Milky Way halo? Monthly Notices of the Royal Astronomical Society, Volume 507, Issue 1, Pages 971–982 (year - 2021) https://doi.org/10.1093/mnras/stab2125

3. Galiullin I.I., Gilfanov M.R. Рентгеновские наблюдения источников классических новых телескопом eРозита орбитальной обсерватории СРГ в ходе обзора неба Письма в Астрономический Журнал, том 47, №9, с. 613-633 (year - 2021) https://doi.org/10.31857/S0320010821090059

4. Khabibullin I., Churazov E., Sunyaev R. SRG/eROSITA view of X-ray reflection in the Central Molecular Zone: a snapshot in September-October 2019 Monthly Notices of the Royal Astronomical Society, - (year - 2021) https://doi.org/10.1093/mnras/stab3333

5. Krivonos R., Arefiev V., Lapshov I., Filippova E., Burenin R., Semena A., Grebenev S., Sazonov S., Shtykovsky A., Tkachenko A., Lutovinov A. Wide-field X-ray observations of the supernova remnant Puppis A with the SRG/ART-XC telescope Monthly Notices of the Royal Astronomical Society, - (year - 2022)

6. Kuuttila J., Gilfanov M. Optical emission-line spectra of symbiotic binaries Monthly Notices of the Royal Astronomical Society, Volume 507, Issue 1, Pages 594–607 (year - 2021) https://doi.org/10.1093/mnras/stab2025

7. Kuznetsova E., Krivonos R., Lutovinov A., Clavel, M. Sgr B2 hard X-ray emission with INTEGRAL after 2009: still detectable? Monthly Notices of the Royal Astronomical Society, Volume 509, Issue 2, Pages 1605–1613 (year - 2021) https://doi.org/10.1093/mnras/stab3004

8. Medvedev P., Gilfanov M., Sazonov S., Schartel N., and Sunyaev R. XMM-Newton observations of the extremely X-ray luminous quasar CFHQS J142952+544717=SRGE J142952.1+544716 at redshift z=6.18 Monthly Notices of the Royal Astronomical Society, Volume 504, Issue 1, Page 576-582 (year - 2021) https://doi.org/10.1093/mnras/stab773

9. Krivonos R.A., Bird A.J., Churazov E.M., Tomsick J.A., Bazzano A., Beckmann V., Belanger G., Bodaghee A., Chaty S., Kuulkers E., Lutovinov A., Malizia A., Masetti N., Mereminskiy I.A., Sunyaev R., Tsygankov S.S., Ubertini P., Winkler C. 15 years of galactic surveys and hard X-ray background measurements New Astronomy Reviews, Volume 92 (year - 2021) https://doi.org/10.1016/j.newar.2021.101612


Annotation of the results obtained in 2019
Galaxy clusters Moderately strong shock waves at the periphery of clusters have been shown to explain the nature of the observed radio relics. Methods have been developed for the joint analysis of data from interferometers and traditional telescopes (as applied to the millimeter wavelength range). Using these methods, the distribution of thermal pressure in the rich cluster of galaxies RX J1347.5-1145 was reconstructed and restrictions were imposed on the parameters of the shock wave in the Bullet cluster. Using observations of galaxy clusters in the X-ray range, it is shown that the viscosity of hot gas in clusters is suppressed by at least several orders of magnitude compared to a plasma in which the viscosity is determined by purely Coulomb collisions. The Galactic Center Possibility of determining the characteristics of supersonic turbulence inside molecular clouds irradiated with a short burst of X-ray radiation from Sgr A * by the measured distribution function of the surface brightness of the reflected signal has been demonstrated. Using IBIS/INTEGRAL data, we obtained the image of the supernova remnant RX J1713.7-3946 and performed the detailed analysis at energies up to 120 keV. It is shown that the available observational data are in a good agreement with the theoretical model of particle acceleration in young supernova remnants assuming the Bohm diffusion limit. The diffuse continuum of the inner region of the Galactic bulge was studied according to the NUSTAR telescope. It is shown that dwarf novae dominate in the bulge. A three-dimensional model of the ionization of the stellar wind of a giant star by ultraviolet and soft x-ray radiation of an accreting white dwarf with nuclear burning on the surface is constructed. Observations of a number of super-soft sources in the Magellanic Clouds with a spatial spectrometer WiFeS 2.3-meter telescope of the Australian National University were performed.

 

Publications

1. Di Mascolo L., Churazov E., Mroczkowski T. A joint ALMA-Bolocam-Planck SZ study of the pressure distribution in RX J1347.5-1145 Monthly Notices of the Royal Astronomical Society, Volume 487, Issue 3, August 2019, Pages 4037–4056 (year - 2019) https://doi.org/10.1093/mnras/stz1550

2. Di Mascolo L., Mroczkowski T., Churazov E., Markevitch M., Basu K., Clarke T. E., Devlin M., Mason B. S., Randall S. W., Reese E. D., Sunyaev R., Wik D. R. An ALMA+ACA measurement of the shock in the Bullet Cluster Astronomy & Astrophysics, Volume 628, A100, August 2019 (year - 2019) https://doi.org/10.1051/0004-6361/201936184

3. Kuznetsova E., Krivonos R., Churazov E., Lyskova N., Lutovinov A. Progressive steepening of the SNR RX J1713.7-3946 X-ray spectrum from XMM-Newton to INTEGRAL Monthly Notices of the Royal Astronomical Society, Volume 489, Issue 2, October 2019, Pages 1828–1836 (year - 2019) https://doi.org/10.1093/mnras/stz2261

4. Perez K., Krivonos R., Wik D. R. The Galactic Bulge Diffuse Emission in Broadband X-Rays with NuSTAR The Astrophysical Journal, Volume 884, Number 2 (year - 2019) https://doi.org/10.3847/1538-4357/ab4590

5. Tsuji N., Uchiyama Y., Aharonian F., Berge D., Higurashi R., Krivonos R., Tanaka T. NuSTAR Observations of the Supernova Remnant RX J1713.7-3946 The Astrophysical Journal, Volume 877, Number 2 (year - 2019) https://doi.org/10.3847/1538-4357/ab1b29

6. Zhang C., Churazov E., Forman W. R., Lyskova N. Runaway merger shocks in galaxy cluster outskirts and radio relics Monthly Notices of the Royal Astronomical Society, Volume 488, Issue 4, October 2019, Pages 5259–5266 (year - 2019) https://doi.org/10.1093/mnras/stz2135

7. Zhuravleva I., Churazov E., Schekochihin A. A., Allen S. W., Vikhlinin A., Werner N. Suppressed effective viscosity in the bulk intergalactic plasma Nature Astronomy, Volume: 3 Issue: 9 Pages: 832-837 (year - 2019) https://doi.org/10.1038/s41550-019-0794-z


Annotation of the results obtained in 2020
We systematically analysed heretofore the largest sample of spectra from black hole and neutron star X-ray binaries in the hard state. We found that the black holes and neutron stars occupy distinctly different regions in the y − kTe plane with neutron stars being characterised by systematically lower values of y-parameter and electron temperature. Observations of the symbiotic binary system LIN 358 were carried out and a 2D photo-ionisation model describing the observational data was constructed. The dependence of populations of soft and super-soft X-ray sources on the morphological type of the host galaxy was explored. Within the framework of the program for the joint study of the history of the activity of the supermassive black hole Sgr A* and the characteristics of the distribution of dense interstellar gas in the center of our Galaxy 1) predictions of properties of the X-ray echo of Sgr A*'s historical flares were obtained depending on the polarization properties of the primary flare radiation. 2) a proposal has been prepared and submitted for deep observations of the currently brightest (in reflected emission) molecular complex Sgr A by Chandra X-ray observatory. The proposal has been fully approved, the observations will be carried out in 2021. Chandra Proposal 22910118 “Unique X-ray Window into Internal Structure of the Cold Gas in Dense Molecular Clouds”, PI: Alexey Vikhlinin, https://cxc.harvard.edu/target_lists/cycle22/cycle22_approved_bpp.html 3) preparation for deep observations of the Sgr A molecular complex by the first imaging X-ray polarimeter IXPE (scheduled for launch in 2021) has been started. Within the framework of the program for the theoretical and numerical study of shock waves formed during the merging of galaxy clusters, 1) We show that merger shocks in galaxy clusters can take over regular accretion shocks and form a new baryonic boundary of a cluster. 2) We suggest that a newly discovered Mpc-size contact discontinuity in the periphery of the Perseus cluster (Abell 426) is the result of a collision between the merger and accretion shocks. 3) We argue that in the process of galaxy clusters merger, a pair of shocks is formed (one closer to the center and one much farther away). Formation of these shocks bears some similarity to nonlinear evolution of shocks, which produce so-called N-waves. 4) The feasibility of using Atacama Compact Array for validation of distant galaxy cluster candidates has been studied. This is in particular important for ongoing search of clusters with the SRG observatory. 5) The structure of the magnetic fields in the hot intra-cluster medium (ICM) and the ICM transport coefficients (e.g.,thermal conductivity) are poorly known. Here we suggest a new method for measuring these properties by studying the characteristic of weak shocks propagating through the ICM. 6) There are examples of compact sources, in particular, stellar mass black holes, which accrete matter at a rate exceeding the Eddington limit. Such systems drive outflows with sub-relativistic velocities. Observations suggest that the outflowing matter can recombine. We consider the consequences of having a fast beam of neutral particles of the ISM heating. It has been shown that Compton scattering by electrons of hot intergalactic gas in galaxy clusters should lead to distortions of the cosmic background X-ray and soft gamma radiation: namely, to an increase in its brightness at energies <60–100 keV and a fall at higher energies. A quantity is proposed that can be estimated from X-ray observations and which correlates well with the depth of the potential well of galaxy clusters. It is shown that the function of gravitational potentials is sensitive to the density of matter in the Universe and the amplitude of the mean-square fluctuations of the density of matter on a scale of 8 Mpc.

 

Publications

1. Banerjee S., Gilfanov M., Bhattacharyya S., Sunyaev, R Observing imprints of black hole event horizon on X-ray spectra Monthly Notices of the Royal Astronomical Society, Volume 498, Issue 4, November 2020, Pages 5353–5360 (year - 2020) https://doi.org/10.1093/mnras/staa2788

2. Churazov E., Khabibullin I., Sunyaev R. Does Nature use neutral beams for interstellar plasma heating around compact objects Monthly Notices of the Royal Astronomical Society: Letters, Volume 495, Issue 1, June 2020, Pages L51–L55 (year - 2020) https://doi.org/10.1093/mnrasl/slaa053

3. Di Mascolo L., Mroczkowski T., Churazov E., Moravec E., Brodwin M., Gonzalez A., Decker B.B., Eisenhardt P.R.M., Stanford S. A., Stern D., Sunyaev R., Wylezalek D. The Massive and Distant Clusters of WISE Survey. SZ effect of Verification with the Atacama Compact Array - Localization and Cluster Analysis Astronomy & Astrophysics, Volume 638, June 2020, Article Number A70, Number of page(s) 17 (year - 2020) https://doi.org/10.1051/0004-6361/202037818

4. Galiullin I., Gilfanov M. Populations of super-soft X-ray sources in galaxies of different morphological types Astronomy & Astrophysics, - (year - 2021)

5. Grebenev S.A., Sunyaev R.A. Понижение яркости космического рентгеновского и мягкого гамма-фона в направлении на скопления галактик Письма в Астрономический журнал, т. 45, № 12, сс. 835-865 (year - 2019) https://doi.org/10.1134/S1063773719120016

6. Khabibullin I., Churazov E., Sunyaev R., Impact of intrinsic polarization of Sgr A* historical flares on (polarization) properties of their X-ray echoes Monthly Notices of the Royal Astronomical Society, Volume 498, Issue 3, November 2020, Pages 4379–4385 (year - 2020) https://doi.org/10.1093/mnras/staa2619

7. Khabibullin I., Churazov E., Sunyaev R., Federrath C., Seifried D., Walch S. X-raying molecular clouds with a short flare: probing statistics of gas density and velocity fields Monthly Notices of the Royal Astronomical Society, Volume 495, Issue 1, June 2020, Pages 1414–1432 (year - 2020) https://doi.org/10.1093/mnras/staa1262

8. Komarov S., Reynolds C., Churazov E. Propagation of weak shocks in cool-core galaxy clusters in two-temperature magnetohydrodynamics with anisotropic thermal conduction Monthly Notices of the Royal Astronomical Society, Volume 497, Issue 2, September 2020, Pages 1434–1442 (year - 2020) https://doi.org/10.1093/mnras/staa1986

9. Kuuttila J., Gilfanov M., Woods T.E., Seitenzahl I.R., Ruiter A.J. LIN 358: a symbiotic binary accreting above the steady hydrogen fusion limit Monthly Notices of the Royal Astronomical Society, Volume 500, Issue 3, January 2021, Pages 3763-3775 (year - 2021) https://doi.org/10.1093/mnras/staa3485

10. Zhang C., Churazov E., Dolag K., Forman W. R., Zhuravleva, I. Collision of merger and accretion shocks: formation of Mpc-scale contact discontinuity in the Perseus cluster Monthly Notices of the Royal Astronomical Society: Letters, Volume 498, Issue 1, October 2020, Pages L130–L134 (year - 2020) https://doi.org/10.1093/mnrasl/slaa147

11. Zhang C., Churazov E., Dolag K., Forman W. R., Zhuravleva, I. Encounters of merger and accretion shocks in galaxy clusters and their effects on intracluster medium Monthly Notices of the Royal Astronomical Society, Volume 494, Issue 3, May 2020, Pages 4539–4547 (year - 2020) https://doi.org/10.1093/mnras/staa1013

12. Zhang C., Churazov E., Zhuravleva I. Pairs of Giant Shock Waves (N-Waves) in Merging Galaxy Clusters Monthly Notices of the Royal Astronomical Society, - (year - 2021) https://doi.org/10.1093/mnras/staa3718