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 language | English |
|---|---|
| Article number | 125106 |
| Journal | Journal of Physics G: Nuclear and Particle Physics |
| Volume | 46 |
| Issue number | 12 |
| DOIs | |
| State | Published - Nov 6 2019 |
| Externally published | Yes |
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.
Keywords
- Gogny force
- energy spectra
- shell model
- λ hypernuclei
- λN ΣN coupling