Laser spectroscopy of radioactive isotopes: Role and limitations of accurate isotope-shift calculations

Abstract

Nuclear mean-square charge radii of radioactive isotopes are obtained from isotope-shift measurements using laser spectroscopy. To extract the values of δ r 2 the atomic field and mass shift factors need to be evaluated. We here summarize the currently available experimental and theoretical techniques for calculating the atomic field and mass shift factors for complex, open-shell atoms, including the 5s 2 1 S 0 − 4d5p 1 P 1 and 4d5s 3 D 2 − 4d5p 3 P 1 transitions for singly charged yttrium (Z = 39).

Isotope shift on the chlorine electron affinity revisited by an MCHF/CI approach

“…Limitations arise from the size of isotope shifts and/or from the low abundances of the isotopes to be studied, in which cases isotopically enriched samples [5] or in-source spectroscopy [6] could be used. One way of deducing a pure mass shift value from observation is the use of King plots [7,8], requiring measurements of isotope shifts on a transition for at least three pairs of isotopes. The nuclear stability valley narrowing for low atomic numbers, there are less possibilities of building the required experimental King plots when approaching the domain of systems for which it is realistic to do highly correlated calculations.…”

Laser and decay spectroscopy of the short-lived isotope Fr214 in the vicinity of the N=126 shell closure

“…A second observation is that the change in the radii below N = 126 is more or less constant for all isotopes from Hg (Z = 80) up to Ra (Z = 88), while an increase of the slope in the kink is observed with an increasing number of protons beyond Z = 82. It should be noted that for the cases of 83 Bi and 84 Po, large systematic uncertainties on the atomic parameters could affect this interpretation [50]. However, in accordance with Eq.…”

Multiconfiguration calculations of electronic isotope-shift factors in Zn i

“…Specific mass shifts (SMSs) were extracted, and a large value has been assigned to the ground state, emphasizing the substantial 3d core-valence polarization. Recently, Yang et al [6] investigated the 4s4p 3 P o 2 → 4s5s 3 S 1 transition (481.2 nm) in a bunched-beam collinear laser spectroscopy experiment to determine nuclear properties of the 79 Zn isotope. The isomer shift between the nuclear ground state and the long-lived 1/2 + isomeric state was measured, and the change of the mean-square charge radii of 79,79m Zn has been extracted via the MS and FS electronic factors.…”

“…The isotope shift (IS) of spectral lines, which consists of the mass shift (MS) and the field shift (FS), plays a key role in extracting the changes in mean-square charge radii of the atomic nuclei [2][3][4]. For a given atomic transition k with frequency ν k , it is assumed that the electronic response of the atom to variations of the nuclear mass and charge distribution can be described by only two factors: the mass-shift factor K k,MS and the field-shift factor F k .…”