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g factor of the \(12^+\) K-isomer in \(^{174}\)W

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Abstract

The g factor of the \(12^+\) K-isomer in \(^{174}\)W has been measured by means of the time-differential perturbed angular distribution technique as \(g(12^+)=+0.304(11)\). In addition, the half-life of the isomer has been remeasured as \(T_{1/2}(12^+)=124(8)\) ns, in agreement with the literature value and confirming the anomalous hindrance F of the E2 transition to the \(10^+\) level of the ground state band with respect to the \(\gamma \)-tunnelling model prediction. The measured g factor has been compared with estimates based on experimental g factors from odd-mass isotopes in the same mass region and with Nilsson model calculations. The results establish unique features of the \(12^+\) K-isomer in \(^{174}\)W, which can possess a non-pure intrinsic configuration and/or can be characterised by values of the intrinsic quadrupole moment \(Q_0\) and the rotational g factor \(g_R\) significantly different with respect to the majority of K-isomers at mass \(A \approx 180\).

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The dataset analyzed during the current study is available from the corresponding author on reasonable request.]

Notes

  1. The \(8^-\) level at 2268 keV with \(T_{1/2} = 158(3)\) ns [18] is fed from the the \(K=12^+\) isomer (see Fig. 1). For this reason, and also because of the chosen value of the magnetic field (optimized for the \(K=12^+\) isomer), the level of statistics achieved in the present experiment prevented the determination of the g factor for the \(K=8^-\) isomer.

  2. In the case of a state with \(K=1/2\), instead of using Eq. 4, the g factor is calculated with the equation 4-88 of Ref. [33]:

    $$\begin{aligned} g=g_R+\frac{g_K-g_R}{4I(I+1)}\left[ 1+\left( 2I+1\right) \left( -1\right) ^{I+\frac{1}{2}}b_0\right] \end{aligned}$$
    (6)

    where \(b_0\) is the magnetic decoupling parameter.

  3. It should be noted that if the band built on the \(K=12^+\) isomer is affected by Coriolis mixing, the \(\left| (g_K-g_R) /Q_0\right| \) ratio determined from the excited states in the band in Ref. [18] could be different than the one of the band head. This would be particularly true if the \(K=12^+\) isomer configuration includes orbits with \(i_{13/2}\) neutron parentage, such as \(7/2^+[633]\) or \(5/2^+[642]\). As discussed in Ref. [36], the effect of Coriolis interactions could manifest as a renormalization of the \(g_R\) value. However, in the present discussion, it is assumed that the effect of the Coriolis mixing in the band built on the \(K=12^+\) isomer is negligible and that \(g_R\) is the same in Eqs. 4 and 7.

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Acknowledgements

We thankfully acknowledge the staff of the LNL Tandem-XTU accelerator for the high quality of the delivered \(^{16}\)O beam, M. Loriggiola for producing the target and the mechanical workshops of the INFN division of Florence for their crucial contribution. The contribution of A. Stuchbery in producing Table 1 and Fig. 6 is gratefully acknowledged. We are also grateful to M. Ionescu-Bujor and P.M. Walker for the fruitful discussions on both the data analysis and the interpretation.

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Author notes

  1. C. Michelagnoli

    Present address: Institut Laue-Langevin, 38042, Grenoble Cedex, France

Authors and Affiliations

  1. INFN Sezione di Firenze, 50019, Florence, Italy

    M. Rocchini, A. Nannini, B. Melon, P. Sona, M. Ottanelli & A. Perego

  2. Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze, 50019, Florence, Italy

    M. Rocchini & A. Perego

  3. Department of Physics, University of Guelph, Guelph, N1G2W1, Canada

    M. Rocchini

  4. INFN Sezione di Milano, 20133, Milan, Italy

    G. Benzoni, E. Vigezzi, S. Bottoni, S. Ceruti, R. Avigo, N. Blasi, G. Bocchi, A. Bracco, F. Camera, S. Capra, F. C. L. Crespi, E. R. Gamba, A. Giaz, S. Leoni, B. Million, A. I. Morales, L. Pellegri & O. Wieland

  5. Dipartimento di Fisica e Astronomia, Università degli Studi di Padova, 35131, Padua, Italy

    P. R. John, D. Bazzacco & D. Mengoni

  6. INFN Sezione di Padova, 35131, Padova, Italy

    P. R. John, C. A. Ur, D. Bazzacco, R. Menegazzo & D. Mengoni

  7. Institut für Kernphysik, Technische Universität Darmstadt, 64289, Darmstadt, Germany

    P. R. John

  8. Dipartimento di Fisica, Università degli Studi di Milano, 20133, Milan, Italy

    S. Bottoni, S. Ceruti, R. Avigo, G. Bocchi, A. Bracco, F. Camera, S. Capra, F. C. L. Crespi, E. R. Gamba, A. Giaz, S. Leoni, A. I. Morales & L. Pellegri

  9. Centre de Sciences Nucléaires et de Sciences de la Matiére (CSNSM), 91405, Orsay, France

    G. Georgiev

  10. INFN Laboratori Nazionali di Legnaro, 35020, Padua, Italy

    A. Gottardo, V. Modamio, D. R. Napoli & J. J. Valiente-Dobón

  11. GANIL, 14076, Caen, France

    C. Michelagnoli

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Correspondence to G. Benzoni.

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Communicated by Wolfram Korten

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Rocchini, M., Nannini, A., Benzoni, G. et al. g factor of the \(12^+\) K-isomer in \(^{174}\)W. Eur. Phys. J. A 56, 289 (2020). https://doi.org/10.1140/epja/s10050-020-00298-3

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