Electric multipole response of the halo nucleus ${}^6$He

The role of different continuum components in the weakly-bound nucleus ${}^6$He is studied by coupling unbound spd-waves of ${}^5$He by means of simple pairing contact-delta interaction. The results of our previous investigations in a model space containing only p-waves, showed the collective nature of the ground state and allowed the calculation of the electric quadrupole transitions. We extend this simple model by including also sd-continuum neutron states and we investigate the electric monopole, dipole and octupole response of the system for transitions to the continuum, discussing the contribution of different configurations.