Abstract

• We calculated single-particle energy of a neutron in 208Pb and single-particle energy of a lambda in Pb 209 ^ with harmonic oscillator, Woods-Saxon without spin-orbit and with spin-orbit potentials. In these models, We solved by using Numerove's method to obtain single-particle energy levels in 208Pb and Pb 209 ^ . This model can also be extended to include the more complex configurations that arise for the nuclei with nucleon numbers that are in between the magic numbers. The lambda single-energies for 1s,1p,1d,1f states in Pb 209 ^ and neutron single-energies for various states in 208Pb are calculated by using Woods-Saxon with spin-orbit potentials. The results of our theoretical calculation for Pb 209 ^ are compared with experimental data and with the previous theoretical work. It is observed that our results are nearly agreement with experimental results. Therefore, Numerov's method is suitable to search single particle energy levels.