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Structure of the lightest tin isotopes

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arxiv 1709.02786 v1 pith:GHBJXFKC submitted 2017-09-08 nucl-th nucl-ex

Structure of the lightest tin isotopes

classification nucl-th nucl-ex
keywords datadoublymagicresultsstructurearoundavailablecollectivity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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