High precision studies of soft dipole mode in two-neutron halo nuclei: ${}^6$He case

Abstract

The "soft dipole" E1 strength function is calculated for the transition from the ${}^6$He $0^{+}$ ground state to the $1^{-}$ continuum ${}^4$He+$n$+$n$. The calculations were performed within the hyperspherical harmonics formalism. The sensitivity of the results to the ${}^6$He ground state structure and to final state interactions, are analyzed. The large-basis calculations show the reliably converged results for soft dipole strength function and for momentum correlations of the $^{6}\mbox{He} \rightarrow \, ^{4}$He+$n$+$n$ dissociation products. Transition mechanisms are analyzed based on the momentum correlations. The comparison with experimental data is provided.

arXiv comment16 pages, 17 figures

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• Neutron-neutron scattering length from the ${}^6$He$(p,p\alpha )nn$ reaction
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Asymptotic normalization coefficient method for two-proton radiative capture