Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing the formation scenarios of binary neutron star systems with
  measurements of the neutron star moment of inertia   Two low mass neutron stars, J0737-3039B and the companion to J1756-2251, show
strong evidence of being formed from the collapse of an ONeMg core in an
electron capture supernova (ECSN) or in an ultra-stripped iron core collapse
supernova (FeCCSN). Using three different systematically generated sets of
equations of state we explore the relationship between the moment of inertia of
J0737-3039A and the binding energy of the two low mass neutron stars. We find
this relationship, a less strict variant of the recently discovered I-Love-Q
relations, is nevertheless more robust than a previously explored correlation
between the binding energy and the slope of the nuclear symmetry energy L. We
find that, if either J0737-3039B or the J1756-2251 companion were formed in an
ECSN, no more than 0.06 solar masses could have been lost from the progenitor
core, more than four times the mass loss predicted by current supernova
modeling. A measurement of the moment of inertia of J0737-3039A to within 10%
accuracy from pulsar timing, possible within a decade, can discriminate between
formation scenarios such as ECSN or ultra-stripped FeCCSN and, given current
constraints on the predicted core mass loss, potentially rule them out. Using
the I-Love-Q relations we find that an Advanced LIGO can potentially measure
the neutron star tidal polarizability to equivalent accuracy in a neutron
star-neutron star merger at a distance of 200 Mpc, thus obtaining similar
constraints on the formation scenarios. Such information on the occurrence of
ECSNe is important for population synthesis calculations, especially for
estimating the rate of binary neutron star mergers and resulting
electromagnetic and gravitational wave signals. Further progress needs to be
made modeling the core collapse process that leads to low-mass neutron stars,
particularly in making robust predictions for the mass loss from the progenitor
core.

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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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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: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph