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arXiv · 1910.02864

Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions

E. Hiyama·K. Sasaki·T. Miyamoto·T. Doi·T. Hatsuda·Y. Yamamoto·Th. A. Rijken
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Abstract

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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E. Hiyama, K. Sasaki, T. Miyamoto, T. Doi, T. Hatsuda, Y. Yamamoto, Th. A. Rijken. 2019-10-07. Possible lightest $\Xi$ Hypernucleus with Modern $\Xi N$ Interactions. https://doi.org/10.1103/physrevlett.124.092501

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