Lithium isotope shifts as a measure of nuclear size
Abstract
The isotope shifts for 2 ^{2}P_{J}2 ^{2}S and 3 ^{2}S2 ^{2}S transition energies in lithium are calculated variationally in Hylleraas coordinates, including nonrelativistic, relativistic, and QED terms up to O(μ/M), O(μ/M)^{2}, O(α^{2}μ/M), and O(α^{3}μ/M) atomic units, and the lowestorder finite nuclear size correction. With highprecision isotope shift measurements, our results can potentially yield a precise determination of the nuclear charge radius for different isotopes of lithium, and especially for the exotic ^{11}Li ``halo'' isotope. For the case of ^{7}Li^{6}Li, using the nuclear charge radii from nuclear scattering data, our calculated isotope shifts for the 2 ^{2}P_{1/2}2 ^{2}S, 2 ^{2}P_{3/2}2 ^{2}S, and 3 ^{2}S2 ^{2}S transitions are 10 534.31(61)(6) MHz, 10 534.70(61)(6) MHz, and 114 54.31(39)(5) MHz, respectively, where the first brackets indicate the uncertainties due to the nuclear charge radii, and the second brackets indicate the computational uncertainties. The experimental isotope shifts are inconsistent with each other and with theory for these transitions.
 Publication:

Physical Review A
 Pub Date:
 February 2000
 DOI:
 10.1103/PhysRevA.61.022504
 Bibcode:
 2000PhRvA..61b2504Y
 Keywords:

 31.30.Gs;
 31.30.Jv;
 21.10.Ft;
 Hyperfine interactions and isotope effects JahnTeller effect;
 Relativistic and quantum electrodynamic effects in atoms and molecules;
 Charge distribution