Application of the ivv-w formalism to the continuum shell model

Abstract

Energy-dependent radial functions v c and w c are employed to achieve good channel convergence in continuum shell-model calculations. All required many-body matrix elements are expressed with respect to standard shell-model basis states constructed from oscillator eigenfunctions. Target recoil and the Pauli principle are treated correctly. Test calculations for nucleon scattering from LS closed targets demonstrate the effectiveness of this approach. Target recoil corrections are shown to have a significant effect on the calculated energies of single-particle bound states and resonances. Other calculations illustrate the use of a finite-range two-body spin-orbit (in addition to central) interaction and the influence of target recoil corrections on 16O + p and 40Ca + p scattering in the 40–50 MeV region.