Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical computation of the EOB potential q using self-force results   The effective-one-body theory (EOB) describes the conservative dynamics of
compact binary systems in terms of an effective Hamiltonian approach. The
Hamiltonian for moderately eccentric motion of two non-spinning compact objects
in the extreme mass-ratio limit is given in terms of three potentials: $a(v),
\bar{d}(v), q(v)$. By generalizing the first law of mechanics for
(non-spinning) black hole binaries to eccentric orbits, [\prd{\bf92}, 084021
(2015)] recently obtained new expressions for $\bar{d}(v)$ and $q(v)$ in terms
of quantities that can be readily computed using the gravitational self-force
approach. Using these expressions we present a new computation of the EOB
potential $q(v)$ by combining results from two independent numerical self-force
codes. We determine $q(v)$ for inverse binary separations in the range $1/1200
\le v \lesssim 1/6$. Our computation thus provides the first-ever strong-field
results for $q(v)$. We also obtain $\bar{d}(v)$ in our entire domain to a
fractional accuracy of $\gtrsim 10^{-8}$. We find to our results are compatible
with the known post-Newtonian expansions for $\bar{d}(v)$ and $q(v)$ in the
weak field, and agree with previous (less accurate) numerical results for
$\bar{d}(v)$ in the strong field.

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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg