Double-Λ hypernuclei in the Skyrme-Hartree-Fock approach and nuclear core polarization

Extension of the Skyrme-Hartree-Fock approach to double-A hypernuclei is presented. Several Skyrme-like Lambda Lambda potentials are fitted to the binding energy of B-13(Lambda Lambda). So-called Lambda Lambda bond energy Delta B-Lambda Lambda appears generally from a complicated interplay between the Lambda Lambda potential, the nuclear core polarization, and Lambda spatial distributions. The core polarization gives a positive contribution to the bond energy even in the absence of Lambda Lambda interaction. This contribution can be substantial even in heavy double-Lambda hypernuclei. The greatest uncertainties in extraction of the Lambda Lambda potential from empirical data arise if hyperons contract the core, a Lambda Lambda potential is of a short range, and the nuclear incompressibility is small. [S0556-2813(98)02912-4].