Single-Particle Spin-Orbit Splittings in Nuclei

Abstract
Single-particle spin-orbit splittings (Δso) in 16O and 40Ca nuclei are evaluated within the framework of the effective interaction theory by employing the Reid soft-core potential and meson-exchange three-body forces (TBF). Among the two-body force contributions, the Pauli-rearrangement effect on Δso is studied with special care. The TBF contribution to Δso is found to be significant. The G-matrix, the second-order Pauli-rearrangement and the TBF contribute to Δso by the amount of ∼1/2, ∼1/5 and ∼1/4 of Δsoexp, respectively. The energy-dependence of the mass operator gives about 20% reduction of Δso, finally leaving 30% shortage to Δsoexp. Further possible origins to increase Δso are suggested.

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