The shell model at¹⁰⁰Sn—An experimental status report

Abstract

The present status of the shell model structure at N = Z = 50 is given. On the basis of recent and previous experimental work a shell model description of known nuclei is given resulting in predictions for single particle energies for the doubly magic 100Sn core. Various approaches for the residual (two-body) interaction (empirical, realistic, schematic) were used (and combined), to test their influence on the extrapolated single particle energies. A comparison with the lighter N = Z doubly magic nuclei 16O, and 40Ca and 56Ni reveals consistent results for Coulomb shifts, spin–orbit splitting and proton–neutron symmetry. There are first indications for dripline effects breaking the isospin symmetry. The results are used to discuss future experiments and their relevance for the determination of the 100Sn shell model parameters.