Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective lambda-proton and lambda-neutron potentials from subthreshold
  inverse scattering   Potentials are constructed for the lambda-nucleon interaction in the
$^1\text{S}_0$ and $^3\text{S}_1$ channels. These potentials are recovered from
scattering phases below the inelastic threshold through
Gel'fand-Levitan-Marchenko theory. Experimental data with good statistics is
not available for lambda-nucleon scattering. This leaves theoretical scattering
phases as the only option through which the rigorous theory of quantum inverse
scattering can be used in probing the lambda-nucleon force. Using
rational-function interpolations on the theoretical scattering data, the
kernels of the Gel'fand-Levitan-Marchenko integral equation become degenerate,
resulting in a closed-form solution. The new potentials restored, which are
shown to be unique through the Levinson theorem, bear the expected features of
short-range repulsion and intermediate-range attraction. Charge symmetry
breaking, which is perceptible in the scattering phases, is preserved in the
new potentials. The lambda-nucleon force in the $^1\text{S}_0$ channel is
observed to be stronger than in the $^3\text{S}_1$ channel, as expected. In
addition, the potentials bear certain distinctive features whose effects on
hypernuclear systems can be explored through Schr\"{o}dinger calculations.

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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
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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: math-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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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: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an