Structure of the lightest tin isotopes
2018
We link the structure of nuclei around $^{100}$Sn, the heaviest doubly magic nucleus with equal neutron and proton numbers ($N=Z=50$), to
nucleon-nucleon($NN$) and three-
nucleon($NNN$) forces constrained by data of few-
nucleonsystems. Our results indicate that $^{100}$Sn is doubly magic, and we predict its quadrupole collectivity. We present precise computations of $^{101}$Sn based on three-particle--two-hole excitations of $^{100}$Sn, and reproduce the small splitting between the lowest $J^\pi=7/2^+$ and $5/2^+$ states. Our results are consistent with the sparse available data.
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