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Revised $B (E 2; 2_{1}^{+} \to 0_{1}^{+})$ value in the semi-magic nucleus ${}^{210}{Pb}$

C. M. Nickel ^1,*, V. Werner ^1,2, G. Rainovski ³, P. R. John¹, M. Beckers⁴, D. Bittner ⁴, A. Blazhev ⁴, A. Esmaylzadeh ⁴, C. Fransen ⁴ et al.

J. Garbe⁴, L. Gerhard⁴, K. Geusen⁴, K. Gladnishki ³, A. Goldkuhle⁴, K. E. Ide ¹, J. Jolie ⁴, V. Karayonchev^4,5, R. Kern¹, E. Kleis⁴, L. Klöckner⁴, D. Kocheva ³, M. Ley ⁴, H. Mayr ¹, N. Pietralla ¹, F. von Spee ⁴, M. Steffan⁴, T. Stetz¹, and J. Wiederhold ¹

¹Institute for Nuclear Physics, Department of Physics, Technische Universität Darmstadt, Schlossgartenstraße 9, D-64289 Darmstadt, Germany
²Helmholtz Forschungsakademie Hessen für FAIR (HFHF), Campus Darmstadt, Schlossgartenstraße 2, D-64289 Darmstadt, Germany
³Faculty of Physics, University of Sofia St. Kliment Ohridski, 5 James Bourchier blvd., BG-1164 Sofia, Bulgaria
⁴Institute for Nuclear Physics, Universität zu Köln, Zülpicher Straße 77, D-50937 Cologne, Germany
⁵Tri University Meson Facility TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3

^*Contact author: cnickel@ikp.tu-darmstadt.de

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Phys. Rev. C 113, 014329 – Published 29 January, 2026

DOI: https://doi.org/10.1103/2jx6-68tc

Abstract

The lifetime of the $2_{1}^{+}$ state of ${}^{210}{Pb}$ was measured in the ${}^{208}{Pb}$ ( ${}^{18}O$ , ${}^{16}O$ ) ${}^{210}{Pb}$ two-neutron transfer reaction by $γ$ -ray spectroscopy employing the recoil-distance Doppler-shift method. The extracted absolute $B (E 2) ↓$ value of $119_{- 8}^{+ 9} e^{2} {fm}^{4}$ is consistent with previously reported measurements, but with significantly improved precision. The available experimental data for the $2_{1}^{+} − 4_{1}^{+} − 6_{1}^{+} − 8_{1}^{+}$ multiplet are compared with shell-model calculations based on the well-established Kuo-Herling interaction. The new $B (E 2) ↓$ value agrees well with the shell-model prediction, providing evidence that the properties of the $2_{1}^{+}$ and $8_{1}^{+}$ states of ${}^{210}{Pb}$ can be consistently described together within the nuclear shell-model framework.

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Phys. Rev. C 113, 014329– Published 29 January, 2026

Vol. 113, Iss. 1 — January 2026

Received 16 June 2025
Accepted 14 October 2025

DOI: https://doi.org/10.1103/2jx6-68tc

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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Revised $B (E 2; 2_{1}^{+} \to 0_{1}^{+})$ value in the semi-magic nucleus ${}^{210}{Pb}$

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Revised B(E2;21+→01+) value in the semi-magic nucleus Pb210

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Revised $B (E 2; 2_{1}^{+} \to 0_{1}^{+})$ value in the semi-magic nucleus ${}^{210}{Pb}$