https://doi.org/10.1140/epja/s10050-021-00522-8
Regular Article - Theoretical Physics
S-shell 
hypernuclei based on chiral interactions
1
IAS-4, IKP-3 and JHCP, Forschungszentrum Jülich, 52428, Jülich, Germany
2
HISKP and BCTP, Universität Bonn, 53115, Bonn, Germany
3
Tbilisi State University, 0186, Tbilisi, Georgia
Received:
19
March
2021
Accepted:
14
June
2021
Published online:
2
July
2021
We generalize the Jacobi no-core shell model (J-NCSM) to study double-strangeness hypernuclei. All particle conversions in the strangeness 
sectors are explicitly taken into account. In two-body space, such transitions may lead to the coupling between states of identical particles and of non-identical ones. Therefore, a careful consideration is required when determining the combinatorial factors that connect the many-body potential matrix elements and the free-space two-body potentials. Using second quantization, we systematically derive the combinatorial factors in question for 
sectors. As a first application, we use the J-NCSM to investigate s-shell hypernuclei based on hyperon-hyperon (YY) potentials derived within chiral effective field theory at leading order (LO) and up to next-to-leading order (NLO). We find that the LO potential overbinds 
while the prediction of the NLO interaction is close to experiment. Both interactions also yield a bound state for 
. The 
system is predicted to be unbound.
Key words: Hyperon–Hyperon interactions / ΛΛ Hypernuclei / Forces in hadronic systems and effective interactions / Shell model
© The Author(s) 2021
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