Study of Bound Nucleon Wave Functions by Coulomb Stripping in the Reaction 208Pb(d, p)209Pb

Abstract

The differential cross sections of the ²⁰⁸Pb(d, p)²⁰⁹Pb transitions to the states 9/2⁺, 5/2⁺*, ½⁺, 7/2⁺, and 3/2⁺ in ²⁰⁹Pb were measured at 135° laboratory angle for deuteron energies between 7.0 and 10.5 MeV. The data below 8.0 MeV were analyzed in COULOMB Wave BORN Approximation to give accurate spectroscopic factors of the five levels according to a simple shell model potential in the final nucleus. The dependence on some of the parameters that determine this potential is studied. The absolute value of the normalizing constants of the bound neutron wave functions outside the nuclear potential well are determined without reference to any shell model potential, i. e. their true values are given. It is confirmed that the ground and excited states up to 2.52 MeV in ²⁰⁹Pb are pure single particle states so that from their study one can draw a proper shell model potential in the lead region.