SINGLE PARTICLE AND SINGLE HOLE ENERGIES IN THE ¹⁶O REGION

Abstract：

Using the eigenvalue equation derived from the single particle (sp) Green's func-tion and the reaction (G) matrix based on the Hamada-Johnston potential, we havecalculated the sp energies of ¹⁷O and the sh (hole) energies of ¹⁵O as well as therelative magnitude of the corresponding transfer matrix elements. As a first step,we have only considered an approximation for the mass operator up to the first-orderin G, however the energy dependence of G has been taken into account properly. Theeigenvalue equation is solved by a self-consistent procedure (SCP). We have speci-fically investigated the rate of convergence of this SCP and that of the truncation ap-proximation. Further, the effect of the spurious center of mass motion and the depen-dence of our results on the input values of parameters of the harmonic oscillatorpotential which is used as the initial approximation of our SCP have also been studied.The calcuated results fit the experimental values quite well, though the method used ismuch simpler than the renormalized Brueckner-Hartree-Fock method.