Hyperfine structure and hyperfine anomaly in Pb

Abstract

The hyperfine structure in the 6p 2 -configuration in lead has been analysed and the results are compared with calculations. The hyperfine anomaly and improved values of the nuclear magnetic moment for four lead isotopes are obtained, using the results from the analysis. Using the the trend recommended adjustment of the nuclear magnetic moment in four isotopes is suggested. The results open up for new measurements of the hyperfine structure in unstable lead isotopes, in order to obtain improved values of the nuclear magnetic moment,extract information of the hyperfine anomaly and distribution of magnetisation in the nucleus. Experimental hyperfine structure constantsThe hfs in Pb has been studied by different methods over the years, using optical spectroscopy as well as with the Atomic Beam Magnetic Resonance (ABMR) technique. With the advent of lasers, especially in the UV-region, more studies have been done. In table 1 an overview of the experimental hfs constants in 207 Pb for a number of OPEN ACCESS RECEIVED

Broadband High-Precision Faraday Rotation Spectroscopy with Uniaxial Single Crystal CeF3 Modulator

“…However, these line shape considerations are also relevant for other types of atomic structure measurements. For example, the use of CeF 3 -based Faraday rotation spectroscopy to improve on existing hyperfine structure measurements in Pb [31][32][33][34] would require accurate determination of the crystal-induced asymmetric contributions on top of similar lineshape asymmetries that arise from hyperfine mixing [35]. One way this can be achieved is by measuring the ellipticity pattern as a function of crystal rotation and estimating this effect from a rigorous line shape analysis.…”

Electron affinity of lead

“…The trend is confirmed, for the 6p 3 would be increased with respect to the hyperfine-averaged electron affinity, correspondingly, by about 0.9 m −1 . This correction, though not a large one, shall be taken into account when giving an estimate of ( ) A Pb [36,37]. The energies of electrons detached from -Pb 207 will be distributed, accordingly, between two energies the separation of which may be a large fraction of the average photoelectron energy reached in a photodetachment microscopy experiment.…”

Calculation of Francium Hyperfine Anomaly

“…We see very good agreement with Equations (5) and (6). R (fm) (5) and (6). Dots: both BR and BW corrections are taken into account; circles: BW correction is equal to zero.…”

“…On the other hand, the HFA correction is usually small (less than 1%) [5] and only recently the measurements for the short-lived nuclei reached this level of accuracy. Thus, the development of the new methods of atomic calculations of the hyperfine constants accounting for the HFA becomes relevant and timely [6]. Below, we discuss how to calculate HFA for many-electron atoms with available atomic package [7], which is based on the original Dirac-Hartree-Fock code [8].…”