Structure of the lightest tin isotopes

Abstract

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-nucleon systems. 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.

8 pages, 4 figures

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