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000897210 1001_ $$0P:(DE-Juel1)168554$$aLe, Hoai$$b0$$eCorresponding author
000897210 245__ $$aS-shell $\varLambda \varLambda$ hypernuclei based on chiral interactions
000897210 260__ $$aHeidelberg$$bSpringer$$c2021
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000897210 520__ $$aWe generalize the Jacobi no-core shell model (J-NCSM) to study double-strangeness hypernuclei. All particle conversions in the strangeness S=−1,−2 sectors are explicitly taken into account. In two-body space, such transitions may lead to the coupling between states of identical particles and of non-identical ones. Therefore, a careful consideration is required when determining the combinatorial factors that connect the many-body potential matrix elements and the free-space two-body potentials. Using second quantization, we systematically derive the combinatorial factors in question for S=0,−1,−2 sectors. As a first application, we use the J-NCSM to investigate ΛΛ s-shell hypernuclei based on hyperon-hyperon (YY) potentials derived within chiral effective field theory at leading order (LO) and up to next-to-leading order (NLO). We find that the LO potential overbinds 6ΛΛHe while the prediction of the NLO interaction is close to experiment. Both interactions also yield a bound state for    5ΛΛHe. The   4ΛΛH system is predicted to be unbound.
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000897210 7001_ $$0P:(DE-Juel1)131179$$aHaidenbauer, Johann$$b1$$ufzj
000897210 7001_ $$0P:(DE-Juel1)131252$$aMeißner, Ulf-G.$$b2$$ufzj
000897210 7001_ $$0P:(DE-Juel1)131273$$aNogga, Andreas$$b3$$ufzj
000897210 773__ $$0PERI:(DE-600)1459066-9$$a10.1140/epja/s10050-021-00522-8$$gVol. 57, no. 7, p. 217$$n7$$p217$$tThe European physical journal / A$$v57$$x1434-601X$$y2021
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