Abstract
Studies of the hyperfine anomaly has found a renewed interest with the recent development of techniques to study the properties of long chains of unstable nuclei. By using the hyperfine structure for determining the nuclear magnetic dipole moments, the hyperfine anomaly puts a limit to the accuracy. In this paper, the differential Breit–Rosenthal effect is calculated for the 6s6p3P1,2 states in 199Hg as a function of the change in nuclear radii, using the MCDHF code, GRASP2018. The differential Breit–Rosenthal effect was found to be of the order of 0.1%fm−2, in most cases much less than the Bohr-Weisskopf effect. The results also indicate that large calculations might not be necessary, with the present accuracy of the experimental values for the hyperfine anomaly.
Highlights
Nuclear magnetic moments carry information which allows us to draw conclusions on the basic structure of the nucleus
The electric quadrupole moment is related to the shape of the nuclear charge distribution, while the magnetic dipole moment is related to the way the nucleus carries the angular momentum
In Relativistic Configuration Interaction (RCI) computations, the atomic wave function is expanded in configuration state functions (CSFs) and only the expansion coefficients are determined by diagonalizing the Hamiltonian matrix
Summary
Nuclear magnetic moments carry information which allows us to draw conclusions on the basic structure of the nucleus. For determining the magnetic dipole moment, many of these methods require corrections for the effect of the medium upon an applied magnetic field, such as diamagnetism and Knight shift and for the non-point-like nature of the nucleus, hyperfine anomaly (HFA) [2,3]. This puts a limit on the uncertainty of the experimental values. In this work we consider corrections due to the non-point-like nature of the nucleus, the hyperfine anomaly
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