High-precision determination of transition amplitudes of principal transitions in Cs from van der Waals coefficient C_6

Abstract

A method for determination of atomic dipole matrix elements of principal transitions from the value of dispersion coefficient C_6 of molecular potentials correlating to two ground-state atoms is proposed. The method is illustrated on atomic Cs using C_6 deduced from high-resolution Feshbach spectroscopy. The following reduced matrix elements are determined < 6S_{1/2} || D || 6P_{1/2} > =4.5028(60) |e| a0 and < 6S_{1/2} || D || 6P_{3/2} > =6.3373(84) |e| a0 (a0= 0.529177 \times 10^{-8} cm.) These matrix elements are consistent with the results of the most accurate direct lifetime measurements and have a similar uncertainty. It is argued that the uncertainty can be considerably reduced as the coefficient C_6 is constrained further.

4 pages; 3 figs

References in corpus (2)

• High accuracy calculation of 6s -> 7s parity nonconserving amplitude in Cs
• Correlated many-body treatment of Breit interaction with application to cesium atomic properties and parity violation

Cited by in corpus (33)

• Atom Interferometers
• Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles
• Theory and applications of atomic and ionic polarizabilities
• Precision determination of electroweak coupling from atomic parity violation and implications for particle physics
• Precise calculation of parity nonconservation in cesium and test of the standard model
• High precision measurement of the static dipole polarizability of cesium
• Precision determination of weak charge of ${}^{133}$Cs from atomic parity violation
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Accurate relativistic many-body calculations of van der Waals coefficients C_8 and C_10 for alkali-metal dimers
• Dynamic polarizabilities and related properties of clock states of ytterbium atom
• Thermal Casimir-Polder interaction of different atoms with graphene
• Measurements of the Ground-State Polarizabilities of Cs, Rb, and K using Atom Interferometry
• Frequency shift of hyperfine transitions due to blackbody radiation
• High precision measurement of the 87Rb D-line tune-out wavelength
• 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
• Impact of graphene coating on the atom-plate interaction
• Black Body Radiation Shift of the 133Cs Hyperfine Transition Frequency
• Precision lifetime measurement of the cesium $6P_{3/2}$ level using ultrafast pump-probe laser pulses
• Measurement of the radial matrix elements for the $6s^2{S}_{1/2}\to 7p^2{P}_J$ transitions in cesium
• Measurement of the radial matrix elements of the $6s{}^2{S}_{1/2}\to 7p{}^2{P}_J$ transitions in atomic cesium
• Measurement scheme and analysis for weak ground state hyperfine transition moments through two-pathway coherent control
• Electric dipole matrix elements for the $6p{}^2{P}_J\to 7s{}^2{S}_{1/2}$ transition in atomic cesium
• Photoassociative molecular spectroscopy for atomic radiative lifetimes
• Experimental constraints on the polarizabilities of the 6s^2 1S0 and 6s6p 3P0 states of Yb
• Precision theoretical determination of electric-dipole matrix elements in atomic cesium
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• QED radiative corrections to electric dipole amplitudes in heavy atoms
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Measurement of the Stark shift of the $6s^2{S}_{1/2}\to 7p^2{P}_J$ transitions in atomic cesium
• 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
• Ultralong Rydberg Cs${}_2$ Molecules Investigated by Combined ab initio Calculations and Perturbation Theory
• Analysis of polarizability measurements made with atom interferometry