Abstract
The Zirconium (Z = 40) isotopic chain has attracted interest for more than four decades. The abrupt lowering of the energy of the first \(2^+\) state and the increase in the transition strength B(E2; \(2^+_1\rightarrow 0^+_1)\) going from \(^{98}\)Zr to \(^{100}\)Zr has been the first example of “quantum phase transition” in nuclear shapes, which has few equivalents in the nuclear chart. Although a multitude of experiments have been performed to measure nuclear properties related to nuclear shapes and collectivity in the region, none of the measured lifetimes were obtained using the Recoil Distance Doppler Shift method in the \(\gamma \gamma \)-coincidence mode where a gate on the direct feeding transition of the state of interest allows a strict control of systematical errors. This work reports the results of lifetime measurements for the first yrast excited states in \(^{98-104}\)Zr carried out to extract reduced transition probabilities. The new lifetime values in \(\gamma \gamma \)-coincidence and \(\gamma \)-single mode are compared with the results of former experiments. Recent predictions of the Interacting Boson Model with Configuration Mixing, the Symmetry Conserving Configuration Mixing model based on the Hartree–Fock–Bogoliubov approach and the Monte Carlo Shell Model are presented and compared with the experimental data.
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Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The data may be available upon request to the AGATA collaboration.]
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Acknowledgements
The authors would like to thank the AGATA and VAMOS++ collaborations. We are grateful for the help from J. Goupil and the GANIL technical staff for their work in setting up the apparatuses and the good quality beam. The authors would also like to thank G. Fremont for preparing the target and degrader foils. G.P. and S.A. acknowledge M. Siciliano for the fruitful discussions and the help with lifetime analysis. This work has been partly funded (G.P.) by the P2IO LabEx (ANR-10-LABX-0038) in the framework Investissements d’Avenir (ANR-11-IDEX-0003-01) managed by the French Agence Nationale de la Recherche (ANR). The work of T.R.R. is supported by the Spanish MICINN under PRE2019-088036. T.R.R. gratefully thanks the support from the GSI-Darmstadt computing facility. A.G, J.S.H., V.M and L.G.P acknowledge the support of Norwegian Research Council, projects 240104, 263030, and 325714. Z.P gratefully thanks the support of STFC (UK). The work of P.-A.S. is supported by BMBF under grant NuSTAR.DA 05P15RDFN1, contract PN 23.21.01.06 sponsored by the Romanian Ministry of Research, Innovation and Digitalization. A.E, L.G., J.J., L.K. and J.-M.R. acknowledge the BMBF Verbundprojekt 05P2021 (ErUM-FSP T07) grant No. 05P21PKFN1. S.L. acknowledges funding from the European Union-NextGenerationEU, through the National Recovery and Resilience Plan of the Republic of Bulgaria, project No. BG-RRP-2.004-0008-C01. The work of A.M.B. and E.R.G. was financially supported by the Science and Technology Facility Council (STFC) Grant No. ST/L005840/1. M.S. has been supported by the OASIS project no. ANR-17-CE31-0026 and by he U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under contract number DE-AC02-06CH11357.
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Pasqualato, G., Ansari, S., Heines, J.S. et al. Shape evolution in even-mass \(^{98-104}\)Zr isotopes via lifetime measurements using the \(\gamma \gamma \)-coincidence technique. Eur. Phys. J. A 59, 276 (2023). https://doi.org/10.1140/epja/s10050-023-01172-8
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DOI: https://doi.org/10.1140/epja/s10050-023-01172-8