Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II

Abstract

We have performed ab initio mixed-states and sum-over-states calculations of parity nonconserving (PNC) electric dipole (E1) transition amplitudes between s-d electron states of Cs, Fr, Ba II, and Ra II. For the lower states of these atoms we have also calculated energies, E1 transition amplitudes, and lifetimes. We have shown that PNC E1 transition amplitudes between s-d states can be calculated to high accuracy. Contrary to the Cs 6s-7s transition, in these transitions there are no strong cancelations between different terms in the sum-over-states approach. In fact, there is one dominating term which deviates from the sum by less than 20%. This term corresponds to an s-p_{1/2} weak matrix element, which can be calculated to better than 1%, and a p_{1/2}-d_{3/2} E1 transition amplitude, which can be measured. Also, the s-d amplitudes are about four times larger than the corresponding s-s transitions. We have shown that by using a hybrid mixed-states/sum-over-states approach the accuracy of the calculations of PNC s-d amplitudes could compete with that of Cs 6s-7s if p_{1/2}-d_{3/2} E1 amplitudes are measured to high accuracy.

15 pages, 8 figures, submitted to Phys. Rev. A

Cited by in corpus (62)

• Search for New Physics with Atoms and Molecules
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Theory and applications of atomic and ionic polarizabilities
• Parity and Time-Reversal Violation in Atomic Systems
• Lifetime measurements of the 5d states of rubidium
• Relativistic Coupled-Cluster Theory of Atomic Parity Nonconservation: Application to ${}^{137}$Ba${}^{+}$
• Frequency shift of hyperfine transitions due to blackbody radiation
• Precision measurement of light shifts in a single trapped Ba${}^{+}$ ion
• Calculation of parity nonconserving amplitude and other properties of Ra+
• Probing low-mass vector bosons with parity nonconservation and nuclear anapole moment measurements in atoms and molecules
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence
• Investigations of Ra${}^{+}$ properties to test possibilities of new optical frequency standards
• Theoretical study of lifetimes and polarizabilities in Ba+
• Precision measurement of the branching ratio in the 6P3/2 decay of BaII with a single trapped ion
• Parity violation and electric dipole moments in atoms and molecules
• Spin-dependent exotic interactions
• Quantum electrodynamics corrections to energies, transition amplitudes and parity nonconservation in Rb, Cs, Ba${}^{+}$, Tl, Fr and Ra${}^{+}$
• Calculation of nuclear-spin-dependent parity nonconservation in s-d transitions of Ba${}^{+}$, Yb${}^{+}$ and Ra${}^{+}$ ions
• Determination of the scalar and vector polarizabilities of the cesium $6s{}^2{S}_{1/2}\to 7s{}^2{S}_{1/2}$ transition and implications for atomic parity non-conservation
• Precision measurement of light shifts at two off-resonant wavelengths in a single trapped Ba+ ion and determination of atomic dipole matrix elements
• Parity nonconservation in Fr-like actinide and Cs-like rare-earth-metal ions
• Gamma-Z box corrections to weak charges of heavy nuclei in atomic parity violation
• Nuclear-spin-dependent parity nonconservation in s-d_5/2 and s-d_3/2 transitions
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes in Th IV
• Double core polarization contribution to atomic PNC and EDM calculations
• Calculation of strongly forbidden M1 transitions and g-factor anomalies in atoms considered for parity non-conservation measurements
• Parity non-conservation in rubidium atom
• Precision measurement of branching fractions of ${}^{138}$Ba${}^{+}$: Testing many body theories below one percent level
• Fock space relativistic coupled-Cluster calculations of Two-Valence Atoms
• Production and trapping of radioactive atoms at the TRI\muP facility
• Forbidden M1 and E2 transitions in monovalent atoms and ions
• Measurements of the branching ratios for $6P_{1/2}$ decays in ${}^{138}$Ba${}^{+}$
• Correlation potential and ladder diagrams
• Compilation of spectroscopic data of Radium (Ra I and Ra II)
• Electric dipole matrix elements for the $6p{}^2{P}_J\to 7s{}^2{S}_{1/2}$ transition in atomic cesium
• Radiative Transition Properties of Singly Charged Magnesium, Calcium, Strontium and Barium Ions
• The hyperfine anomaly in heavy atoms and its role in precision atomic searches for new physics
• Nuclear magnetic moments of francium 207-213 from precision hyperfine comparisons
• All-order calculations of the spectra of Ba II, Ra II, Fr I and superheavy elements E119 I and E120 II
• Lifetime Measurement of the 8s Level in Francium
• Fundamental Symmetries and Interactions
• Branching fractions for $P_{3/2}$ decays in Ba${}^{+}$
• Isotope Shifts of the $6d{}^2$D${}_{3/2}$ - $7p{}^2$P${}_{1/2}$ Transition in Trapped Short-Lived ${}^{209-214}$Ra${}^{+}$
• Strongly enhanced atomic parity violation due to close levels of opposite parity
• Prospects for Forbidden-Transition Spectroscopy and Parity Violation Measurements using a Beam of Cold Stable or Radioactive Atoms
• Nuclear magnetic octupole moment and the hyperfine structure of the $5D_{3/2,5/2}$ states of the Ba${}^{+}$ ion
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Determination of the hyperfine coupling constant of cesium 7S1/2 state
• Comment on "New physics constraints from atomic parity violation in 133-Cs"
• Measurement of the hyperfine coupling constants and absolute energies of the $12s{}^2{S}_{1/2}$, $13s{}^2{S}_{1/2}$, and $11d{}^2{D}_J$ levels in atomic cesium
• Measurement of the $7p{}^2{P}_{3/2}$ state branching fractions in ${\mathrm{Ra}}^{+}$
• Magic wavelength of the ${}^{138}$Ba${}^{+}$ $6s{}^2{S}_{1/2}-5d{}^2{D}_{5/2}$ clock transition
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Measurement of the hyperfine coupling constants and absolute energies of the $8p{}^2{P}_{1/2}$ and $8p{}^2{P}_{3/2}$ levels in atomic cesium
• Hyperfine coupling constants of the cesium $7D_{5/2}$ state measured up to the octupole term
• Role of triple excitations in calculating different properties of Ba+
• Deciphering Core, Valence and Double-Core-Polarization Contributions to Parity Violating Amplitudes in ${}^{133}$Cs using Different Methods
• An optical lattice based method for precise measurements of atomic parity violation
• Fundamental Symmetries and Interactions - Some Aspects
• Theoretical characterisation of the barium II and radium II ions
• Lifetime measurement of the 5d${}^2$D${}_{5/2}$ state in Ba${}^{+}$
• Lifetimes of the Metastable $6\mathrm{d}{}^2{\mathrm{D}}_{5/2}$ and $6\mathrm{d}{}^2{\mathrm{D}}_{3/2}$ States of Ra${}^{+}$