Reply to “Comment on ‘Three-body properties of low-lying ${}^{12}\mathbf{Be}$ resonances’ ”

We suggested that the two resonances at $0.89$ and $2.03$ MeV above the two-neutron separation threshold have spins and parities of $0^{+}$ and $1^{-}$. In the Comment, Fortune claims that these states almost unambiguously must be $3^{-}$ and $4^{+}$ states. We work in three-body cluster models with $J^{\pi }=0^{+},1^{-},2^{+}$ where all three-body continuum structures are included. Fortune bases his assignments on the bound-state shell-model and $(t,p)$ calculations. Our conclusions are from three-body structure results including widths. Assignments as $0^{+}$ and $1^{-}$ (or, perhaps, $3^{-}$) resonances are the most natural within the three-body cluster model.

Figure 1

Lowest adiabatic potentials for the (a) $3^{-}$ and (b) $4^{+}$ states in ${}^{12}\mathrm{Be}$ by using the same method and interactions as in Ref. [2].