TY - JOUR
T1 - Possible Lightest Ξ Hypernucleus with Modern ΞN Interactions
AU - Hiyama, E.
AU - Sasaki, K.
AU - Miyamoto, T.
AU - Doi, T.
AU - Hatsuda, T.
AU - Yamamoto, Y.
AU - Rijken, Th A.
N1 - Funding Information:
The authors would like to thank Professor B. F. Gibson for useful discussions. This work is supported in part by JSPS Grant-in-Aid for Scientific Research (No. JP18H05407, No. JP16H03995, No. JP18H05236, No. JP19K03879), by a priority issue (Elucidation of the fundamental laws and evolution of the universe) to be tackled by using Post “K” Computer, and by Joint Institute for Computational Fundamental Science (JICFuS). The authors thank the HAL QCD Collaboration for providing lattice QCD results of interactions and for valuable discussions.
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/3/6
Y1 - 2020/3/6
N2 - Experimental evidence exists that the Ξ-nucleus interaction is attractive. We search for NNΞ and NNNΞ bound systems on the basis of the AV8 NN potential combined with either a phenomenological Nijmegen ΞN potential or a first principles HAL QCD ΞN potential. The binding energies of the three-body and four-body systems (below the d+Ξ and H3/He3+Ξ thresholds, respectively) are calculated by a high precision variational approach, the Gaussian expansion method. Although the two ΞN potentials have significantly different isospin (T) and spin (S) dependence, the NNNΞ system with quantum numbers (T=0, Jπ=1+) appears to be bound (one deep for Nijmegen and one shallow for HAL QCD) below the H3/He3+Ξ threshold. Experimental implications for such a state are discussed.
AB - Experimental evidence exists that the Ξ-nucleus interaction is attractive. We search for NNΞ and NNNΞ bound systems on the basis of the AV8 NN potential combined with either a phenomenological Nijmegen ΞN potential or a first principles HAL QCD ΞN potential. The binding energies of the three-body and four-body systems (below the d+Ξ and H3/He3+Ξ thresholds, respectively) are calculated by a high precision variational approach, the Gaussian expansion method. Although the two ΞN potentials have significantly different isospin (T) and spin (S) dependence, the NNNΞ system with quantum numbers (T=0, Jπ=1+) appears to be bound (one deep for Nijmegen and one shallow for HAL QCD) below the H3/He3+Ξ threshold. Experimental implications for such a state are discussed.
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U2 - 10.1103/PhysRevLett.124.092501
DO - 10.1103/PhysRevLett.124.092501
M3 - Article
C2 - 32202898
AN - SCOPUS:85081280372
VL - 124
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 9
M1 - 092501
ER -