Potentials by inversion ofHe3+α phase shifts and bound state energies inBe7

A method is introduced to determine a potential by inversion from both bound state energies and phase shifts, based upon the iterative perturbative S matrix to potential inversion procedure. The method is applied to determine the local potential reproducing low-energy ${}_{}{}^3{}_{}{}^{}\mathrm{He}$+α phase shifts as well as the l=1 bound states and lowest l=3 resonances in ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$, for both the single channel RGM and empirical data. An even-parity potential is determined from phase shifts up to l=4, which differs significantly from the shape of the odd-parity term. The need for a pronounced parity-dependent potential underlying the RGM is confirmed, which strongly resembles that found in both α+p and α${+}^{12}$C scattering.