Phys. Rev. A 78, 012508 (2008) [7 pages]Theoretical study of lifetimes and polarizabilities in Ba+Received 26 January 2008; published 21 July 2008 The 6s-npj (n=6–9) electric-dipole matrix elements and 6s-ndj (n=5–7) electric-quadrupole matrix elements in Ba+ are calculated using the relativistic all-order method. The resulting values are used to evaluate ground-state dipole and quadrupole polarizabilities. In addition, the electric-dipole 6pj-5dj′ matrix elements and magnetic-dipole 5d5∕2-5d3∕2 matrix element are calculated using the same method in order to determine the lifetimes of the 6p1∕2, 6p3∕2, 5d3∕2, and 5d5∕2 levels. The accuracy of the 6s-5dj matrix elements is investigated in detail in order to estimate the uncertainties in the quadrupole polarizability and 5dj lifetime values. The lifetimes of the 5d states in Ba+ are extremely long, making precise experiments very difficult. Our final results for dipole and quadrupole ground-state polarizabilities are αE1=124.15a03 and αE2=4182(34)a05, respectively. The resulting lifetime values are τ6p1∕2=7.83 ns, τ6p3∕2=6.27 ns, τ5d3∕2=81.5(1.2) s, and τ5d5∕2=30.3(4) s. An extensive comparison with other theoretical and experimental values is carried out for both lifetimes and polarizabilities. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.012508
DOI:
10.1103/PhysRevA.78.012508
PACS:
31.15.ac, 31.15.ap, 31.15.ag, 31.15.bw
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