Single-Neutron States in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Sn</mml:mi><mml:mprescripts/><mml:none/><mml:mn>101</mml:mn></mml:mmultiscripts></mml:math>

The first data on the relative single-particle energies outside the doubly magic $^{100}\mathrm{Sn}$ nucleus were obtained. A prompt $171.7(6)\text{ }\text{ }\mathrm{keV}$ $\ensuremath{\gamma}$-ray transition was correlated with protons emitted following the $\ensuremath{\beta}$ decay of $^{101}\mathrm{Sn}$ and is interpreted as the transition between the single-neutron ${g}_{7/2}$ and ${d}_{5/2}$ orbitals in $^{101}\mathrm{Sn}$. This observation provides a stringent test of current nuclear structure models. The measured $\ensuremath{\nu}{g}_{7/2}\mathrm{\text{\ensuremath{-}}}\ensuremath{\nu}{d}_{5/2}$ energy splitting is compared with values calculated using mean-field nuclear potentials and is used to calculate low-energy excited states in light Sn isotopes in the framework of the shell model. The correlation technique used in this work offers possibilities for future, more extensive spectroscopy near $^{100}\mathrm{Sn}$.

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