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Structure of single-\(\varLambda \) hypernuclei with chiral hyperon–nucleon potentials

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Abstract

The structure of single-\(\varLambda \) hypernuclei is studied using the chiral hyperon-nucleon potentials derived at leading order (LO) and next-to-leading order (NLO) by the Jülich–Bonn–Munich group. Results for the separation energies of \(\varLambda \) single-particle states for various hypernuclei from \(^5_{\varLambda }\hbox {He}\) to \(^{209}_{\,\,\,\,\,\varLambda }\hbox {Pb}\) are presented for the LO interaction and the 2013 (NLO13) and 2019 (NLO19) versions of the NLO potentials. It is found that the results based on the LO potential show a clear tendency for overbinding while those for the NLO13 interaction underbind most of the considered hypernuclei. A qualitatively good agreement with the data is obtained for the NLO19 interaction over a fairly large range of mass number values when considering the uncertainty due to the regulator dependence. A small spin-orbit splitting of the p-, d-, f-, and g-wave states is predicted by all interactions, in line with the rather small values observed in pertinent experiments.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All the data is already contained in the manuscript.]

Notes

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    The results for \(U_{\varLambda }(k=0)\) differ slightly from those in Ref. [65], mainly because of differences in the employed nucleon single-particle potential – it e.g. the one utilized in the present work includes effects from three-nucleon forces - but also due to technicalities of the actual calculations.

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Acknowledgements

We acknowledge helpful communications with Avraham Gal, Andreas Nogga and Hirokazu Tamura. This work is partially supported by the COST Action CA16214 and by the DFG and the NSFC through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (DFG grant. no. TRR 110).

Author information

Correspondence to Isaac Vidaña.

Additional information

Communicated by V. Somà

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Haidenbauer, J., Vidaña, I. Structure of single-\(\varLambda \) hypernuclei with chiral hyperon–nucleon potentials. Eur. Phys. J. A 56, 55 (2020). https://doi.org/10.1140/epja/s10050-020-00055-6

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