Double-$\Lambda$ hypernuclei in the relativistic mean-field theory

Abstract

We study the properties of double-$\Lambda$ hypernuclei in the relativistic mean-field theory, which has been successfully used for the description of stable and unstable nuclei. With the meson-hyperon couplings determined by the experimental binding energies of single-$\Lambda$ hypernuclei, we present a self-consistent calculation of double-$\Lambda$ hypernuclei in the relativistic mean-field theory, and discuss the influence of hyperons on the nuclear core. The contribution of two mesons with dominant strange quark components (scalar ${\sigma }^{\ast }$ and vector $\varphi$) to the $\Lambda \Lambda$ binding energy of double-$\Lambda$ hypernuclei is examined.

12 pages, 2 figures

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• Cluster models of Lambda-Lambda-6He and Lambda-9Be hypernuclei
• Full-coupled channel approach to S=-2 s-shell hypernuclear systems

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