Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lesson from GW170817: most neutron star mergers result in tightly
  collimated successful GRB jets   The joint detection of gravitational waves (GWs) and $\gamma$-rays from a
binary neutron-star (NS) merger provided a unique view of off-axis GRBs and an
independent measurement of the NS merger rate. Comparing the observations of
GRB170817 with those of the regular population of short GRBs (sGRBs), we show
that an order unity fraction of NS mergers result in sGRB jets that breakout of
the surrounding ejecta. We argue that the luminosity function of sGRBs, peaking
at $\approx 2\times 10^{52}\, \mbox{erg s}^{-1}$, is likely an intrinsic
property of the sGRB central engine and that sGRB jets are typically narrow
with opening angles $\theta_0 \approx 0.1$. We perform Monte Carlo simulations
to examine models for the structure and efficiency of the prompt emission in
off axis sGRBs. We find that only a small fraction ($\sim 0.01-0.1$) of NS
mergers detectable by LIGO/VIRGO in GWs is expected to be also detected in
prompt $\gamma$-rays and that GW170817-like events are very rare. For a NS
merger rate of $\sim 1500$ Gpc$^{-3}$ yr$^{-1}$, as inferred from GW170817, we
expect within the next decade up to $\sim 12$ joint detections with off-axis
GRBs for structured jet models and just $\sim 1$ for quasi-spherical cocoon
models where $\gamma$-rays are the result of shock breakout. Given several
joint detections and the rates of their discoveries, the different structure
models can be distinguished. In addition the existence of a cocoon with a
reservoir of thermal energy may be observed directly in the UV, given a
sufficiently rapid localisation of the GW source.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol