Density Functional approach for multi-strange hypernuclei: competition between $\Lambda$ and ${\Xi }^{0,-}$ hyperons

Abstract

The question of the competition between $\Lambda$ and ${\Xi }^{0,-}$ in the ground-state of multi-strange hypernuclei is addressed within a non-relativistic density functional approach, partially constrained by ab-initio calculations and experimental data. The exploration of the nuclear chart for $10<Z<120$ as a function of the strangeness number is performed by adding hyperons to a nuclear core imposing either conserved total charge $Q$ or conserved proton number $Z$. We find that almost all $\Lambda$ hypernuclei present an instability with respect to the strong interaction decay of $\Lambda$ towards ${\Xi }^{0,-}$ and that most of the instabilities generates ${\Xi }^{-}$ (resp. ${\Xi }^0$) in the case of conserved total charge $Q$ (resp. proton number $Z$). The strangeness number at which the first ${\Xi }^{0,-}$ appear is generally lower for configurations explored in the case of conserved $Q$ compared to the case of conserved $Z$, and corresponds to the crossing between the $\Lambda$ and the neutron or proton chemical potentials. About two to three hundred thousands pure $\Lambda$ hypernuclei may exist before the onset of ${\Xi }^{0,-}$. The largest uncertainty comes from the unknown $\Lambda \Xi$ interaction, since the $N\Lambda$ and the $N\Xi$ ones can be constrained by a few experimental data. The uncertainty on the $\Lambda \Xi$ interaction can still modify the previous estimation by 30-40\%, while the impact of the unknown $\Xi \Xi$ interaction is very weak.

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Cited by in corpus (9)

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• Effects of $\bm\la$ hyperons on the deformations of even-even nuclei
• $\Lambda \Lambda$ pairing in multi-strange hypernuclei
• Ground State Properties of Charmed Hypernuclei with Mean Field Approach
• Effects of Finite Temperature and Pairing Correlations in Multi-$\Lambda$ Hypernuclei