Constraining the trend of the $N = 50$ shell gap towards $^{100}$Sn with the masses of $^{96-98}$Cd

D. Lange; D. Atanasov; M. Au; A. Belley; M. Benhatchi; K. Blaum; R. B. Cakirli; P. F. Giesel; A. Herlert; J. D. Holt; B. S. Hu; A. Jaries; C. Klink; Yu. A. Litvinov; D. Lunney; V. Manea; F. Mehlhorn; T. Miyagi; M. Mougeot; S. Naimi; L. Nies; M. Schlaich; Ch. Schweiger; L. Schweikhard; T. Shickele; A. Todd; W. Wojtaczka

arXiv · 2604.18287

Constraining the trend of the $N = 50$ shell gap towards $^{100}$Sn with the masses of $^{96-98}$Cd

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Abstract

We present the first determination of the $N = 50$ empirical shell gap at $Z = 48$ by precise mass measurements of the neutron-deficient cadmium isotopes $^{96-98}$Cd with the ISOLTRAP mass spectrometer at ISOLDE-CERN, including the first precise determination of the excitation energy of the $25/2^+$ isomer in $^{97}$Cd. Through the systematics of Coulomb Displacement Energies, we further deduce the empirical shell gap in the higher-$Z$ isotopic chains, tightly constraining the $^{100}$Sn mass-surface region. The new experimental data suggest an enhancement of the gap towards $^{100}$Sn, which is discussed in comparison to state-of-the-art calculations using energy-density functional and new ab initio approaches.

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D. Lange, D. Atanasov, M. Au, A. Belley, M. Benhatchi, K. Blaum, R. B. Cakirli, P. F. Giesel, A. Herlert, J. D. Holt, B. S. Hu, A. Jaries, C. Klink, Yu. A. Litvinov, D. Lunney, V. Manea, F. Mehlhorn, T. Miyagi, M. Mougeot, S. Naimi, L. Nies, M. Schlaich, Ch. Schweiger, L. Schweikhard, T. Shickele, A. Todd, W. Wojtaczka. 2026-04-20. Constraining the trend of the $N = 50$ shell gap towards $^{100}$Sn with the masses of $^{96-98}$Cd. https://arxiv.org/abs/2604.18287

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