Sg. Cooper, POTENTIALS BY INVERSION OF HE-3 PLUS ALPHA-PHASE SHIFTS AND BOUND-STATE ENERGIES IN BE-7, Physical review. C. Nuclear physics, 50(1), 1994, pp. 359-369
A method is introduced to determine a potential by inversion from both
bound state energies and phase shifts, based upon the iterative pertu
rbative S matrix to potential inversion procedure. The method is appli
ed to determine the local potential reproducing low-energy He-3 + alph
a phase shifts as well as the l = 1 bound states and lowest l = 3 reso
nances in Be-7, for both the single channel RGM and empirical data. An
even-parity potential is determined from phase shifts up to l = 4, wh
ich differs significantly from the shape of the odd-parity term. The n
eed for a pronounced parity-dependent potential underlying the RGM is
confirmed, which strongly resembles that found in both alpha + p and a
lpha + C-12 scattering.