Five-body cluster structure of double-$\Lambda$ hypernucleus ${}_{\Lambda \Lambda }^{11}$Be

Abstract

Energy levels of the double $\Lambda$ hypernucleus, ${}_{\Lambda \Lambda }^{11}$Be are calculated within the framework of an $\alpha \alpha n\Lambda \Lambda$ five-body model. Interactions between constituent particles are determined so as to reproduce reasonably the observed low-energy properties of the $\alpha \alpha$, $\alpha \alpha n$ nuclei and the existing data for $\Lambda$-binding energies of the $\alpha \Lambda$, $\alpha \alpha \Lambda$, $\alpha n\Lambda$ and $\alpha \alpha n\Lambda$ systems. An effective $\Lambda \Lambda$ interaction is constructed so as to reproduce, within the $\alpha \Lambda \Lambda$ three-body model, the $B_{\Lambda \Lambda }$ of ${}_{\Lambda \Lambda }^6$He, which was extracted from the emulsion experiment, the NAGARA event. With no adjustable parameters for the $\alpha \alpha n\Lambda \Lambda$ system, $B_{\Lambda \Lambda }$ of the ground and bound excited states of ${}_{\Lambda \Lambda }^{11}$Be are calculated with the Gaussian Expansion Method. The Hida event, recently observed at KEK-E373 experiment, is interpreted as an observation of the ground state of the ${}_{\Lambda \Lambda }^{11}$Be.

4pages, 3 figures

References in corpus (2)

• Four-body cluster structure of $A=7-10$ double-$\Lambda$ hypernuclei
• Cluster Structures of the Ground and Excited States of 12Be Studied with Antisymmetrized Molecular Dynamics

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