Theoretical study of lifetimes and polarizabilities in Ba+

Abstract

The 6s-np_j (n=6-9) electric-dipole matrix elements and 6s-nd_j (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 6p_j-5d_j' matrix elements and magnetic-dipole 5d_{5/2}-5d_{3/2} matrix element are calculated using the same method in order to determine the lifetimes of the 6p_{1/2}, 6p_{3/2}, 5d_{3/2}, and 5d_{5/2} levels. The accuracy of the 6s-5d_j matrix elements is investigated in detail in order to estimate the uncertainties in the quadrupole polarizability and 5d_j 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 alpha_{E1} = 124.15 a^3_0 and alpha_{E2} = 4182(34) a^5_0, respectively. The resulting lifetime values are tau(6p_{1/2})=7.83 ns, tau(6p_{3/2})=6.27 ns, tau(5d_{3/2})=81.5(1.2) s, and tau(5d_{5/2})=30.3(4) s. The extensive comparison with other theoretical and experimental values is carried out for both lifetimes and polarizabilities.

arXiv comment7 pages

References in corpus (13)

• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Measurement of the 6S-7S transition polarizablility in atomic cesium and an improved test of the standard model
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Relativistic many-body calculations of electric-dipole matrix elements, lifetimes and polarizabilities in rubidium
• Atomic Parity Nonconservation and Nuclear Anapole Moments
• High precision measurement of the static dipole polarizability of cesium
• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• New experimental and theoretical approach to the 3d D-level lifetimes of 40Ca+
• Blackbody radiation shift in a 43Ca+ ion optical frequency standard
• Precision measurement of light shifts in a single trapped Ba${}^{+}$ ion
• Inconsistencies between lifetime and polarizability measurements in Cs
• Including of triple excitations in the relativistic coupled-cluster formalism and calculation of Na properties
• Progress on indium and barium single ion optical frequency standards

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