Calculation of the Differential Breit-Rosenthal Effect in Pb

Abstract

Recent advancements in studying long chains of unstable nuclei have revitalised interest in investigating the hyperfine anomaly. Hyperfine anomaly is particularly relevant for determining nuclear magnetic dipole moments using hyperfine structures where it limits the accuracy. This research paper focuses on the calculation of the differential Breit-Rosenthal effect for the 6p23P1,2, 1D2 and 6p7s3P1 states in Pb, utilising the multi-configurational Dirac-Hartree-Fock code, GRASP2018. The findings show that the differential Breit-Rosenthal effect is typically less than 0.1/fm2, which is often much smaller than the Bohr-Weisskopf effect. The differential Breit-Rosenthal effect for the 6p23P2 state is one order of magnitude smaller than the rest, which is why this state seems to be insensible to the hyperfine anomaly.

Keywords

• hyperfine anomaly
• Breit-Rosenthal effect
• lead
• MCDHF
• nuclear charge radius