Laser Spectroscopy of Neutron-Rich 
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 Isotopes: Illuminating the Kink and Odd-Even Staggering in Charge Radii across the 
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Goodacre, T. Day; Afanasjev, A. V.; Barzakh, A. E.; Marsh, B. A.; Sels, S.; Ring, P.; Nakada, H.; Andreyev, A. N.; Duppen, P. Van; Althubiti, N. A.; Andel, B.; Atanasov, D.; Billowes, J.; Blaum, Klaus; Cocolios, T. E.; Cubiss, J. G.; Farooq-Smith, G. J.; Fedorov, D. V.; Fedosseev, V. N.; Flanagan, Kieran; Gaffney, L. P.; Ghys, L.; Huyse, M.; Kreim, S.; Lunney, D.; Lynch, K. M.; Manea, V.; Palenzuela, Y. Martinez; Molkanov, P. L.; Rosenbusch, M.; Rossel, R. E.; Rothe, S.; Schweikhard, L.; Seliverstov, M. D.; Spagnoletti, P.; Beveren, C. Van; Veinhard, Matthieu; Verstraelen, E.; Welker, A.; Wendt, Κ.; Wienholtz, F.; Wolf, R.; Zadvornaya, A.; Zuber, Κ.

doi:10.1103/physrevlett.126.032502

Cited by 66 publications

(39 citation statements)

References 46 publications

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“…Only the 7/2 − configuration close to a spherical shape appears to be compatible with experiment. Its HFB spectroscopic moments are estimated to μ eff S = −1.11μ N and Q S = 0.58 b in rather good agreement with measured value of μ exp S = −0.949 (29)μ N and Q exp S = 0.77(28) b.…”

Section: A Odd Hg Isotopessupporting

confidence: 81%

“…In the latter case, an actual GS compatible with experimental spin, parity, electric, and magnetic moments can be found. Note that a similar procedure constraining the spin and parity on experimental data has been applied within the spherical relativistic Hartree-Bogolyubov framework to explain the kink in the isotopic shifts for heavier Hg isotopes around the N = 126 closed shell [29]. Since the corresponding magnetic moments have not been measured yet for such heaviest A 207 isotopes, our present study is restricted to N 126 Hg isotopes.…”

Section: A Odd Hg Isotopesmentioning

confidence: 99%

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Description of magnetic moments within the Gogny Hartree-Fock-Bogolyubov framework: Application to Hg isotopes

et al. 2021

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While the ground state configuration is classically determined by the variational principle minimizing the binding energy of the system, we propose here a different procedure to identify the configuration of the ground state in odd-A nuclei. This procedure is based on the Hartree-Fock-Bogolyubov (HFB) framework with a self-consistent blocking of the unpaired nucleon and identifies the ground state as the blocked quasiparticle configuration compatible with the observed spin and parity and, most importantly, the measured magnetic moment. The magnetic moments are calculated within the HFB framework for all odd Hg isotopes for which experimental data is available. To validate the method, a systematic comparison between the predicted and measured electric quadrupole moments and isotopic shifts is performed. For even-even isotopes, we show that the ground state deformation, and more particularly the competition between the prolate and oblate shapes, can hardly be determined through a comparison of the QRPA β-decay half-life with experiment, though this approach also calls for an observable similar to the one used for odd-A isotopes, namely the spin-flip component of the isovector part of the magnetic moment operator. For even isotopes with shape coexistence, no adequate constraint could be identified, except though the charge radius. Assuming light even-even Hg isotopes to have an oblate shape, the resulting charge radii staggering observed in the Hg chain by laser spectroscopy can through this identification procedure be reproduced.

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Section: A Odd Hg Isotopessupporting

confidence: 81%

Section: A Odd Hg Isotopesmentioning

confidence: 99%

Description of magnetic moments within the Gogny Hartree-Fock-Bogolyubov framework: Application to Hg isotopes

et al. 2021

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“…The source of OES behavior is demonstrated by various possible mechanisms [70], such as the staggering oscillation in occupation of single-particle levels between odd and even isotopes [20] and the pairing contributions [23]. Besides, OES in the charge radii might be related to the evolution of nuclear deformation [71], etc.…”

Section: Resultsmentioning

confidence: 99%

“…Remarkably in calcium isotopes, nuclear charge radii feature a distinct aspect of odd-even staggering (OES) [18,19]. Furthermore, this conspicuous feature of the odd-even oscillations in charge radii is still observed apparently along mercury [20] and lead [21] isotopes, etc. Along isotopic chains, abrupt changes in the nuclear charge radii are usually observed.…”

Section: Introductionmentioning

confidence: 99%

Local variations of charge radii for nuclei with even $Z$ from 84 to 120

An¹,

Dong²,

Li³

et al. 2021

Preprint

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In this work, the evolution of nuclear charge radii along even Z = 98 − 120 isotopes are systematically investigated by various approaches. The new parametrization sets based on liquid drop model (LDM) formulas are proposed by covering the shell closure effect at N = 126 and odd-even staggering (OES) in calibration procedure. In comparison with available database, highorder neutron-proton asymmetry may be indispensable in fitting protocol. The fitted formula within theoretical uncertainty below 0.02 fm is used to make extrapolative calculations. Results obtained by the deduced relationship associating to α-decay properties and the modified charge radius formula in relativistic mean field (RMF) model are also employed to make reinforce. The latter shows that the abrupt change of nuclear charge radii emerges apparently across N = 184 shell closure. In addition, the abrupt jumps at N = 146 and 200 are also disclosed remarkably due to the large deformation. These different methods give comparable predictions of nuclear charge radii for 286,288 Fl, 290,292 Lv and 288−310 120 isotopes.

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“…Introduction.-The nuclear charge radius is a fundamental property of an atomic nucleus. It serves as an important probe in various nuclear phenomena, such as the occurrence of magic numbers [1][2][3], shape staggering [4] and evolution [5,6], shape coexistence [7], proton [8] and neutron [9,10] halos, and neutron skins [11]. Moreover, the subtle evolution of charge radii along isotopic chains provides a stringent test and challenge for nuclear models.…”

mentioning

confidence: 99%

Multidimensional King-plot analysis for accurate extraction of Cd nuclear charge radii: a challenge for nuclear structure theory

Han¹,

Pan²,

Zhang³

et al. 2021

Preprint

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High-accuracy determination of isotope shift factors, which plays a crucial role in accurate extraction of nuclear charge radius, is well-known to be challenging experimentally and theoretically. Nonetheless, based on an accurate measurement of the isotope shifts for the Cd + 5s 2 S 1/2 − 5p 2 P 3/2 and the Cd 5s 2 1 S0 − 5s5p 1 P1 transition, a multidimensional King-plot analysis is performed to extract the atomic field shift and mass shift factors accurately. The results are further cross-checked against results from atomic structure calculations using a high-accuracy configuration interaction and many-body perturbation theory. Combined with previous isotope shifts, nuclear charge radii for 100−130 Cd of the highest accuracy are reported. For the neutron-rich region, accuracies for the charge radii are improved by nearly one order of magnitude. This work provides a coherent and systematic extraction of Cd nuclear charge radii from isotope shifts. The results offer stringent testing and possible challenges to the latest advances in nuclear theory and excellent benchmarking to the atomic structure calculations.

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Laser Spectroscopy of Neutron-Rich Hg207,208 Isotopes: Illuminating the Kink and Odd-Even Staggering in Charge Radii across the N

Cited by 66 publications

References 46 publications

Description of magnetic moments within the Gogny Hartree-Fock-Bogolyubov framework: Application to Hg isotopes

Description of magnetic moments within the Gogny Hartree-Fock-Bogolyubov framework: Application to Hg isotopes

Local variations of charge radii for nuclei with even $Z$ from 84 to 120

Multidimensional King-plot analysis for accurate extraction of Cd nuclear charge radii: a challenge for nuclear structure theory

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