• Three-body calculation of Be double-𝛬 hypernuclei

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/083/03/0365-0375

• # Keywords

Hypernuclei; cluster models; effective interactions in hadronic systems.

• # Abstract

Energy levels and $\Lambda\Lambda$ bond energy of the double-𝛬 hypernucleus are calculated by considering two- and three-cluster interactions. Interactions between constituent particles are contact interactions for reproducing the low binding energy of nuclei. The effective action is constructed to involve three-body forces. In this paper, we also compare the obtained binding energy result with experimental and other cluster and shell models. The results of all schemes agree very well showing the high accuracy of our method to calculate the other many-body hyperonic nuclei using three-cluster interactions. The experimental values of $B_{\Lambda\Lambda}$(${}^{10}_{\Lambda\Lambda}$ Be) = (11.90 ± 0.13) MeV, $B_{\Lambda\Lambda}$(${}^{11}_{\Lambda\Lambda}$Be) = (20.49 ± 1.15) MeV and $B_{\Lambda\Lambda}$(${}^{12}_{\Lambda\Lambda}$Be) = (22.23 ± 1.15) MeV seem to be more compatible with our calculated value of $B_{\Lambda\Lambda}$(${}^{10}_{\Lambda\Lambda}$Be) = 14.04 MeV, $B_{\Lambda\Lambda}$(${}^{11}_{\Lambda\Lambda}$Be) = 19.31 MeV and $B_{\Lambda\Lambda}$(${}^{12}_{\Lambda\Lambda}$Be) = 21.45 MeV in comparison with the other calculated results by Hiyama et al, Gal et al and Guleria et al.

• # Author Affiliations

1. Department of Physics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019