Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic and Radiative Cooling of Relativistic Electrons Applied to
  Synchrotron Spectra and Light-Curves of Gamma-Ray Burst Pulses   We investigate the adiabatic and radiative (synchrotron and inverse-Compton)
cooling of relativistic electrons whose injected/initial distribution with
energy is a power-law above a typical energy $\gamma_i$. Analytical and
numerical results are presented for the cooling-tail and the cooled-injected
distribution that develop below and above the typical energy of injected
electrons, for the evolution of the peak-energy $E_p$ of the synchrotron
emission spectrum, and for the pulse shape resulting from an episode of
electron injection. The synchrotron emission calculated numerically is compared
with the spectrum and shape of Gamma-Ray Burst (GRB) pulses. Both adiabatic and
radiative cooling processes lead to a softening of the pulse spectrum, and both
types of cooling processes lead to pulses peaking earlier and lasting shorter
at higher energy, quantitatively consistent with observations. For
adiabatic-dominated electron cooling, a power-law injection rate $R_i$ suffices
to explain the observed power-law GRB low-energy spectra. Synchrotron-dominated
cooling leads to power-law cooling-tails that yield the synchrotron standard
slope alpha = -3/2 provided that $R_i \sim B^2$, which is exactly the
expectation if the magnetic field is a constant fraction of the post-shock
energy density. Increasing (decreasing) $R_i$ and decreasing (increasing) B(t)
lead to slopes alpha harder (softer, respectively) than the standard value and
to non--power-law (curved) cooling-tails. Inverse-Compton cooling yields four
values for the slope alpha but, as for synchrotron, other $R_i$ or B histories
yield a wider range of slopes and curved low-energy spectra. Feedback between
the power-law segments that develop below and above the typical injected
electron leads to a synchrotron spectrum with many breaks above and below the
usual 10 keV-1 MeV observing range.

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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: econ