Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The onset of $\Lambda\Lambda$ hypernuclear binding   Binding energies of light, $A\leq 6$, $\Lambda\Lambda$ hypernuclei are
calculated using the stochastic variational method in a pionless effective
field theory (EFT) approach at leading order with the purpose of assessing
critically the onset of binding in the strangeness S=-2 hadronic sector. The
EFT input in this sector consists of (i) a $\Lambda\Lambda$ contact term
constrained by the $\Lambda\Lambda$ scattering length $a_{\Lambda\Lambda}$,
using a range of values compatible with $\Lambda\Lambda$ correlations observed
in relativistic heavy ion collisions, and (ii) a $\Lambda\Lambda N$ contact
term constrained by the only available $A\leq 6$ $\Lambda\Lambda$ hypernucler
binding energy datum of $^{6}_{\Lambda\Lambda}$He. The recently debated neutral
three-body and four-body systems $^{3}_{\Lambda\Lambda}$n and
$^{4}_{\Lambda\Lambda}$n are found unbound by a wide margin. A relatively large
value of $|a_{\Lambda\Lambda}| \gtrsim 1.5$ fm is needed to bind
$^{4}_{\Lambda\Lambda}$H, thereby questioning its particle stability. In
contrast, the particle stability of the $A=5$ $\Lambda\Lambda$ hypernuclear
isodoublet $^{5}_{\Lambda\Lambda} $H--$^{5}_{\Lambda\Lambda}$He is robust, with
$\Lambda$ separation energy of order 1 MeV.

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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: dg-ga