Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radius of the neutron star magnetosphere during disk accretion   The dependence of the spin frequency derivative $\dot{\nu}$ of accreting
neutron stars with a strong magnetic field (X-ray pulsars) on the mass
accretion rate (bolometric luminosity, $L_{bol}$) has been investigated for
eight transient pulsars in binary systems with Be stars. Using data from the
Fermi/GBM and Swift/BAT telescopes, we have shown that for seven of the eight
systems the dependence $\dot{\nu}$ can be fitted by the model of angular
momentum transfer through an accretion disk, which predicts the relation
$\dot{\nu}\sim L^{6/7}_{bol}$. Hysteresis in the dependence
$\dot{\nu}(L_{bol})$ has been confirmed in the system V 0332+53 and has been
detected for the first time in the systems KS 1947+300, GRO J1008-57, and 1A
0535+26. The radius of the neutron star magnetosphere in all of the
investigated systems have been estimated. We show that this quantity varies
from pulsar to pulsar and depends strongly on the analytical model and the
estimates for the neutron star and binary system parameters.

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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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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: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an