Three-body continuum energy correlations in Borromean halo nuclei. III. Short-range external fields

Abstract

Energy correlations in transitions from the bound state to the three-body continuum of Borromean halo nuclei are considered. A core$+n+n$ three-body cluster model which reproduces the experimentally known properties of $^{6}\mathrm{He}$ and $^{11}\mathrm{Li}$ has been used to study the low-lying resonances and soft modes. An analysis of the correlated responses in $^{6}\mathrm{He}$ shows that in the case of the narrow three-body ${2}_{1}^{+}$ resonance the transition energy correlations are the same as in the intrinsic correlated structure in $3\ensuremath{\rightarrow}3$ scattering. They differ significantly for wide ${2}_{2}^{+},{1}_{1}^{+}$ resonances, and also for the soft dipole and monopole modes, where, due to the transition operators, the intertwining of the ground state and the three-body continuum plays a significant role.