Three-Body Structure of \(^9_{\varLambda }\)Be with \(\alpha \alpha \varLambda \) Cluster Model

Abstract

In the framework of \(\alpha +\alpha +\varLambda \) three-body cluster model, we calculate energy spectra from bound energy region to resonant energy region up to around 20 MeV with respect to \(\alpha \alpha \varLambda \) threshold. To calculate resonant states, we employ Complex Scaling method which is one of the powerful method. We obtain the states of \(^8\)Be analogue and genuine hypernuclear analogue, which are consistent with those by Yamada et al. (Prog Theor Phys Suppl 81:104, 1985). However, the calculated ordering of \(^9\)Be analogue states is quite different with their calculation. We also obtain \(2^+\) and \(4^+\) resonant states of which have been never pointed out.

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Acknowledgements

The authors would like to thank to Prof. M. Kamimura for useful discussion. This work is supported by RIKEN-MOST project. One of the authors (E. H.) is supported by a Grants-in-Aid for Scientific Research from Monbukagakusho of Japan (18H05407, 16H03995 and 16H02180). One of the authors (Y. F.) is supported by JSPS KAKENHI Grant Number JP18K03658. The numerical calculations were performed at the Yukawa Institute Computer Facility. One of authors (Q.W.) is supported by National Natural Science Foundation of China (11475085, 11535005, 11690030) and National Major state Basic Research and Development of China (2016YFE0129300).

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Correspondence to Emiko Hiyama.

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Lee, J., Wu, Q., Funaki, Y. et al. Three-Body Structure of \(^9_{\varLambda }\)Be with \(\alpha \alpha \varLambda \) Cluster Model. Few-Body Syst 60, 30 (2019). https://doi.org/10.1007/s00601-019-1502-3

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