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Title:Calculation Of The Correction On The Magnetization Distribution In The Nucleus To The Hyperfine Structure Of Heavy Atoms
Author(s):Prosnyak, Sergey
Contributor(s):Maison, Daniel E.; Skripnikov, Leonid V.
Subject(s):Mini-symposium: Precision Spectroscopy for Fundamental Physics
Abstract:To reproduce accurately experimental values of hyperfine spliting of heavy atoms one have to take into account the corrections for the distribution of charge (the Breit-Rosenthal effect\footnote{M. Crawford, Phys. Rev. 76, 1310 (1949).}) and magnetization (the Bohr-Weisskopf effect\footnote{A. Bohr and V. Weisskopf, Physical Review 77, 94 (1950).}) over the nucleus. In the presented study, a program was written to calculate the Bohr-Weisskopf correction in the one-particle model of the nucleus, in which the distribution of the valence nucleon is found from the solution of the Schrödinger equation with the Woods-Saxon potential. It was used to calculate the hyperfine structure of a neutral Tl atom, as well as a hyperfine magnetic anomaly - a special combination of hyperfine interaction constants and g factors of two different isotopes, which is quite sensitive to differences in the magnetization distribution. By comparing the results obtained with the model of a uniformly magnetized ball\footnote{Prosnyak, S. D., Maison, D. E., Skripnikov, L. V., The Journal of Chemical Physics, 152(4), 044301. (2020).}, it was shown that, with a sufficient accuracy, the ratio of anomalies for two electronic states is stable with respect to the choice of the nuclear model and its parameters\footnote{S. Schmidt, J. Billowes, M. Bissell, K. Blaum, R. G. Ruiz, H. Heylen, S. Malbrunot-Ettenauer, G. Neyens, W. Nörtershäuser, G. Plunien, et al., Phys. Lett. B 779, 324 (2018).}. This fact is important because it is used to predict the magnetic moments of short-lived nuclei. In addition, the differential hyperfine anomaly was calculated in the above mentioned nuclear models and the results obtained were compared with experimental data. Calculations of the electronic structure were carried out with the support of the grant of the Russian Science Foundation (project 19-72-10019). The calculation of the correction for the Breit interaction in the Gaunt approximation was carried out with the support of the RFBR grant (project 20-32-70177).
Issue Date:2021-06-24
Publisher:International Symposium on Molecular Spectroscopy
Genre:Conference Paper / Presentation
Date Available in IDEALS:2021-09-24

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