Reliability test for the experimental results of electric-quadrupole hyperfine-structure constants and assessment of nuclear quadrupole moments in 135Ba and 137Ba

Abstract

We investigate electric quadrupole hyperfine-structure constant (B) results in 135Ba+ and 137Ba+ and compare their ratios with the reported measurements of the ratio between the nuclear quadrupole moment (Q) values of these isotopes. We carry out confidence tests for the reported experimental B values and calculations of B/Q from the present work. Inconsistencies in the experimental B values are observed in both the isotopes from different experiments performed using the same techniques. The present calculations are carried out using an all order relativistic many-body theory considering only single and double excitations in the coupled-cluster ansatz. After a detailed analysis of the results, the values of Q we obtain for 135Ba and 137Ba are 0.153(2)b and 0.236(3)b, respectively, which differ by about 4% from the currently referred precise values.