Shock Acceleration Model for the Toothbrush Radio Relic

Journal Article · Mon May 01 04:00:00 EDT 2017 · Astrophysical Journal

DOI:https://doi.org/10.3847/1538-4357/AA6D0D· OSTI ID:22872742

Kang, Hyesung ^[1]; Ryu, Dongsu ^[2]

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1. Department of Earth Sciences, Pusan National University, Busan 46241 (Korea, Republic of)
2. Department of Physics, School of Natural Sciences, UNIST, Ulsan 44919 (Korea, Republic of)

Although many of the observed properties of giant radio relics detected in the outskirts of galaxy clusters can be explained by relativistic electrons accelerated at merger-driven shocks, significant puzzles remain. In the case of the so-called Toothbrush relic, the shock Mach number estimated from X-ray observations (M{sub X}≈1.2--1.5) is substantially weaker than that inferred from the radio spectral index (M{sub rad}≈2.8). Toward understanding such a discrepancy, we here consider the following diffusive shock acceleration (DSA) models: (1) weak-shock models with M{sub s}≲2 and a preexisting population of cosmic-ray electrons (CRe) with a flat energy spectrum, and (2) strong-shock models with M{sub s}≈3 and either shock-generated suprathermal electrons or preexisting fossil CRe. We calculate the synchrotron emission from the accelerated CRe, following the time evolution of the electron DSA, and the subsequent radiative cooling and postshock turbulent acceleration (TA). We find that both models could reproduce reasonably well the observed integrated radio spectrum of the Toothbrush relic, but the observed broad transverse profile requires the stochastic acceleration by downstream turbulence, which we label “turbulent acceleration” or TA to distinguish it from DSA. Moreover, to account for the almost uniform radio spectral index profile along the length of the relic, the weak-shock models require a preshock region over 400 kpc with a uniform population of preexisting CRe with a high cutoff energy (≳40 GeV). Due to the short cooling time, it is challenging to explain the origin of such energetic electrons. Therefore, we suggest the strong-shock models with low-energy seed CRe (≲150 MeV) are preferred for the radio observations of this relic.

• OSTI ID: 22872742
• Journal Information: Astrophysical Journal, Journal Name: Astrophysical Journal Journal Issue: 1 Vol. 840; ISSN ASJOAB; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
COSMIC RADIATION
EMISSION
ENERGY SPECTRA
GALAXY CLUSTERS
GEV RANGE 10-100
MACH NUMBER
MEV RANGE 100-1000
RADIATIVE COOLING
RELATIVISTIC RANGE
SHOCK WAVES
STOCHASTIC PROCESSES
SYNCHROTRON RADIATION
TAIL ELECTRONS
TURBULENCE
X RADIATION