Skyrme force for light and heavy hypernuclei

We present a lambda-nucleon Skyrme force suitable for reproducing the observed binding energies of the whole range of known light and heavy single-lambda hypernuclei with $A=5,...,208$. Notable exceptions such as ${}_{\Lambda }^9\mathrm{Be}$, featuring a well-developed cluster structure, are identified and examined in comparison with a cluster approach for the hypernuclear structure.

Figure 1

Binding energies of light single-$\Lambda$ hypernuclei. Red bars and numbers (in MeV) show SHF predictions and full dots indicate experimental data from Refs. [16] and [17] (for ${}_{\Lambda }^7\mathrm{He}$). Open dots show conflicting experimental results for ${}_{\Lambda }^{16}\mathrm{O}$ from Refs. [20, 21, 22] or [1, 23]; see text. The green dots are excluded from the fitting procedure; see discussion in text.

Figure 2

Density distributions of nucleons (solid curves) and $\Lambda$ (dashed curves) in ${}_{\Lambda }^9\mathrm{Be}$ (red) and ${}_{\Lambda }^{13}\mathrm{C}$ (black) obtained within the SHF (thick) and cluster (thin) approaches. The dotted green curve shows twice the experimental charge density of ${}^{12}\mathrm{C}$ from Ref. [24].

Figure 3

$\Lambda$ removal energies of heavy single-$\Lambda$ hypernuclei. Experimental data are from Ref. [1].