$A$--Dependence of $ΛΛ$ Bond Energies in Double---$Λ$ Hypernuclei

Details $A$--Dependence of $ΛΛ$ Bond Energies in Double---$Λ$ Hypernuclei $A$--Dependence of $ΛΛ$ Bond Energies in Double---$Λ$ Hypernuclei

1995-11-04

arxiv.org/abs/nucl-th/9511005v1

Z.Phys. A357 (1997) 95-100

Physics

Nuclear Physics

Nuclear Theory

11 pages, LaTex, 3 figures

Scientific paper

The $A$-dependence of the bond energy $\Delta B_{\Lambda\Lambda}$ of the ${\Lambda\Lambda}$ hypernuclear ground states is calculated in a three-body ${\Lambda + \Lambda + {^{A}Z}}$ model and in the Skyrme-Hartree-Fock approach. Various ${\Lambda\Lambda}$ and $\Lambda$-nucleus or ${\Lambda N}$ potentials are used and the sensitivity of $\Delta B_{\Lambda\Lambda}$ to the interactions is discussed. It is shown that in medium and heavy ${\Lambda\Lambda}$ hypernuclei, $\Delta B_{\Lambda\Lambda}$ is a linear function of $r_{\Lambda}^{-3}$, where $r_\Lambda$ is rms radius of the hyperon orbital. It looks unlikely that it will be possible to extract ${\Lambda\Lambda}$ interaction from the double-$\Lambda$ hypernuclear energies only, the additional information about the $\Lambda$-core interaction, in particular, on $r_{\Lambda}$ is needed.

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