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g-Factor and static quadrupole moment of \(^{135}\)Pr, \(^{105}\)Pd, and \(^{187}\)Au in wobbling motion

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Abstract

The g-factor and static quadrupole moment of the nuclides \(^{135}\)Pr, \(^{105}\)Pd, and \(^{187}\)Au in the wobbling motion are investigated in the particle-rotor model as functions of the total spin I. The g-factor of \(^{105}\mathrm {Pd}\) increases with increasing I, due to the negative gyromagnetic factor of a valence-neutron. This behavior is in contrast to the decreasing g-factor of the other two nuclides, \(^{135}\)Pr and \(^{187}\)Au, which feature a valence-proton. The static quadrupole moment Q depends on all three expectation values of the total angular momentum. It is smaller in the yrast band than in the wobbling band for the transverse wobblers \(^{135}\)Pr and \(^{105}\)Pd, while larger for the longitudinal wobbler \(^{187}\)Au.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Author’s comment: This is a theoretical study with particle-rotor model calculations, and there are no experimental data associated. All model calculations have been explained with references and our procedures are described also in details.]

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Acknowledgements

Financial support for this work was provided in parts by Deutsche Forschungsgemeinschaft (DFG) and National Natural Science Foundation of China (NSFC) through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (DFG Project-ID 196253076—TRR110, NSFC Grant no. 12070131001). The work of UGM was also supported by the Chinese Academy of Sciences (CAS) through a President’s International Fellowship Initiative (PIFI) (Grant no. 2018DM0034) and by the Volkswagen Stiftung (Grant No. 93562).

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Authors and Affiliations

  1. Physik-Department, Technische Universität München, 85747, Garching, Germany

    C. Broocks, Q. B. Chen & N. Kaiser

  2. Department of Physics, East China Normal University, Shanghai, 200241, China

    Q. B. Chen

  3. Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany

    Ulf-G. Meißner

  4. Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany

    Ulf-G. Meißner

  5. Tbilisi State University, 0186, Tbilisi, Georgia

    Ulf-G. Meißner

Authors
  1. C. Broocks
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  2. Q. B. Chen
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  3. N. Kaiser
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  4. Ulf-G. Meißner
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Correspondence to Q. B. Chen.

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Communicated by Michael Bender

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Broocks, C., Chen, Q.B., Kaiser, N. et al. g-Factor and static quadrupole moment of \(^{135}\)Pr, \(^{105}\)Pd, and \(^{187}\)Au in wobbling motion. Eur. Phys. J. A 57, 161 (2021). https://doi.org/10.1140/epja/s10050-021-00482-z

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