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Structure of the lightest tin isotopes
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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.
Forward citations
Cited by 2 Pith papers
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Lattice calculation of the Sn isotopes near the proton dripline
First high-fidelity lattice calculations of 99-102Sn reach percent-level agreement with measured binding energies, confirm the N=50 shell closure, and find 99Sn less bound than extrapolations from heavier tin isotopes.
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From bare two-nucleon interaction to nuclear matter and finite nuclei in a relativistic framework
A leading-order relativistic chiral two-nucleon force, with four constants fit to scattering data, describes nuclear matter saturation and medium-mass nuclei binding energies and radii without three-nucleon forces.
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