A core excited shell model for the mass-40 region is developed to account for the discrepancies between particle-particle (pp) and particle-hole (ph) nuclear partners. Explicitly, second order perturbative-type calculations are incomplete when used in an attempt to simultaneously account for the spectral discrepancies between 40K(vf 7 2-πd 3 2-) and the Racah transform of 38Cl(vf 7 2-πd 3 2) and those between 48Sc(πf 7 2-vf 7 2-1) and the Racah transform of 42Sc(πf 7 2-vf 7 2). However, an (fd) shell model, which includes core excitations (multi-particle, multi-hole states) from the 0d 3 2 shell to the 0f 7 2 shell, yields the cancellation of the second order perturbative-type results which is necessary for a satisfactory explanation for both sets of spectral discrepancies. The usefulness of the model in the investigation of the positioning of core excited states in 40Ca (like 8p-8h) and in the generation of effective operators is also explored.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics