## Abstract

Understanding the nuclear properties in the vicinity of

^{100}Sn – suggested to be the heaviest doubly magic nucleus with equal proton number*Z*and neutron number*N*– has been a long-standing challenge for experimental and theoretical nuclear physics. In particular, contradictory experimental evidence exists regarding the role of nuclear collectivity in this region of the nuclear chart. Here, we provide additional evidence for the doubly-magic character of^{100}Sn by measuring the ground-state electromagnetic moments and nuclear charge radii of indium (*Z*= 49) isotopes as N approaches 50 from above using precision laser spectroscopy. Our results span almost the complete range between the two major neutron closed shells at*N*= 50 and*N*= 82 and reveal parabolic trends as a function of the neutron number, with a clear reduction toward these two neutron closed-shells. A detailed comparison between our experimental and numerical results from two complementary nuclear many-body frameworks, density functional theory and ab initio methods, exposes deficiencies in nuclear models and establishes a benchmark for future theoretical developments.Original language | English |
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Journal | Nature Physics |

Publication status | Accepted/In press - 10 Jul 2024 |

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