Calculation of the Differential Breit–Rosenthal Effect in the 6<i>s</i>6<i>p</i> ³<i>p</i>_1,2 States of Hg

• Main Authors: Tarjei Heggset, Jonas R. Persson
• Format: Article
• Language: English
• Published: MDPI AG 2020-11-01
• Series: Atoms
• Subjects: hyperfine anomaly; breit-rosenthal effect; mercury; MCDHF; nuclear charge radius
• Online Access: https://www.mdpi.com/2218-2004/8/4/86

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 <inline-formula><math display="inline"><semantics><mrow><mn>6</mn><mi>s</mi><mn>6</mn><mi>p</mi></mrow></semantics></math></inline-formula><inline-formula><math display="inline"><semantics><mrow><msup><mrow></mrow><mn>3</mn></msup><msub><mi>P</mi><mrow><mn>1</mn><mo>,</mo><mn>2</mn></mrow></msub></mrow></semantics></math></inline-formula> states in <inline-formula><math display="inline"><semantics><mrow><msup><mrow></mrow><mn>199</mn></msup><mi>H</mi><mi>g</mi></mrow></semantics></math></inline-formula> 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 <inline-formula><math display="inline"><semantics><mrow><mn>0.1</mn><mo>%</mo><mi mathvariant="normal">f</mi><msup><mi mathvariant="normal">m</mi><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula>, 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.