Implications of the recently discoveredPb208(1+,Ex=5.845MeV) state for the spin-dependent nuclear interaction

Abstract

Measurements on the newly discovered ${1}^{+}$ state at ${E}_{x}=5.845$ MeV in $^{208}\mathrm{Pb}$ provide an opportunity to examine the spin dependence in the nuclear effective Hamiltonian. The data require a somewhat weaker spin-orbit splitting than given by conventional Hamiltonians. The isoscalar spin-dependent residual interaction, which was poorly determined by previous data, is found to be much weaker than the isovector spin-dependent interaction, as predicted by Brueckner theory.NUCLEAR STRUCTURE Simple shell model, spin parameters in the Hamiltonian for $^{208}\mathrm{Pb}$.