P-shell hypernuclear energy spectra using the Gogny-interaction shell model

X. Y. Chen, Z. Zhou, W. G. Jiang, B. S. Hu, F. R. Xu

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4 Scopus citations

Abstract

Recent high-resolution experiments at JLab give the energy spectra of the hypernuclei 7 λHe, 9 λLi, 10 λBe and 12 λB. However, their spins and parities of the excited states have not been known experimentally. In the present paper, we make a systematical theoretical investigation for the p-shell hypernuclei, within the shell model based on the nucleon-nucleon (NN) and hyperon-nucleon interactions. The effective NN interaction takes the finite-range density-dependent Gogny force, and the hyperon-nucleon interaction takes an empirical ΛN interaction which includes the ΛN-ΣN and ΣN-ΣN coupling effects. The shell model with the Gogny force without parameters being refitted can reasonably describe both spectra and binding energies of the p-shell nuclei, which gives a confidence for the further calculations of hypernuclei. We compare our results with experimental data as well as various theoretical calculations, and explain the recent experimental hypernuclear spectra observed at JLab.

Original languageEnglish
Article number125106
JournalJournal of Physics G: Nuclear and Particle Physics
Volume46
Issue number12
DOIs
StatePublished - Nov 6 2019
Externally publishedYes

Funding

We would like to thank B Dai and JG Li for their useful comments and discussions. We are also grateful to H Zeng for his help in computing coding. This work has been supported by the National Key R&D Program of China under Grant No. 2018YFA0404401; the National Natural Science Foundation of China under Grants No. 11835001, No. 11575007, No. 11921006 and No. 11847203; the China Postdoctoral Science Foundation under Grant No. 2018M630018, and Beijing innovation research program for undergraduates. We acknowledge the High-Performance Computing Platform of Peking University for providing computational resources.

FundersFunder number
Beijing innovation research program for undergraduates
National Key R&D Program of China2018YFA0404401
National Natural Science Foundation of China11835001, 11921006, 11847203, 11575007
China Postdoctoral Science Foundation2018M630018

    Keywords

    • Gogny force
    • energy spectra
    • shell model
    • λ hypernuclei
    • λN ΣN coupling

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