Structure of the Lightest Tin Isotopes

We link the structure of nuclei around $100\mathrm{Sn}$, 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 $100\mathrm{Sn}$ is doubly magic, and we predict its quadrupole collectivity. We present precise computations of $101\mathrm{Sn}$ based on three-particle–two-hole excitations of $100\mathrm{Sn}$, and we find that one interaction accurately reproduces the small splitting between the lowest $J^{\pi }=7/2^{+}$ and $5/2^{+}$ states.

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