Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions   Experimental evidence exists that the $\Xi$-nucleus interaction is
attractive. We search for $NN\Xi$ and $NNN\Xi$ bound systems on the basis of
the AV8 $NN$ potential combined with either a phenomenological Nijmegen $\Xi N$
potential or a first principles HAL QCD $\Xi N$ potential. The binding energies
of the three-body and four-body systems (below the $d+\Xi$ and $^3{\rm
H}$/$^3{\rm He}+\Xi$ thresholds, respectively) are calculated by a high
precision variational approach, the Gaussian Expansion Method. Although the two
$\Xi N$ potentials have significantly different isospin ($T$) and spin ($S$)
dependence, the $NNN\Xi$ system with quantum numbers $(T=0, J^{\pi}=1^+$)
appears to be bound (one deep for Nijmegen and one shallow for HAL QCD) below
the $^3{\rm H}$/$^3{\rm He}+\Xi$ threshold. Experimental implications for such
a state are discussed.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: stat