Inelastic cross-sections and natural lifetimes for the 62D3/2, 5/2 and 82S1/2 states of Rb

Экерс, А.; Głódź, M.; Szonert, J.; Bieniak, B.; Fronc, K.; Radelitski, T.

doi:10.1007/s10053-000-9066-8

Cited by 10 publications

(8 citation statements)

References 32 publications

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“…The uncertainties in the lifetime values are obtained from the uncertainties in the matrix elements large fraction of which is listed in Table II. The comparison of our results with the latest experimental [8,11,16,19,21,22,[27][28][29] and theoretical [21,55] values is given in Table IV. The present lifetimes are in good agreement with experiential results when theoretical and experimental uncertainties are taken into account.…”

Section: Lifetimesmentioning

confidence: 75%

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

2011

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Systematic study of Rb atomic properties is carried out using high-precision relativistic all-order method. Excitation energies of the ns, np, nd, and nf (n ≤ 10) states in neutral rubidium are evaluated. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the levels up to n = 8. Recommended values and estimates of their uncertainties are provided for a large number of electric-dipole transitions. Electric-dipole (5s − np, n = 5 − 26), electricquadrupole (5s − ndj, n = 4 − 26), and electric-octupole (5s − nfj , n = 4 − 26) matrix elements are calculated to obtain the ground state E1, E2, and E3 static polarizabilities. Scalar polarizabilities of the ns, np, and nd states, and tensor polarizabilities of the np 3/2 and nd excited states of Rb are evaluated. The hyperfine A-and B-values in 87 Rb are determined for the first low-lying levels up to n = 9. These calculations provide recommended values critically evaluated for their accuracy for a number of Rb atomic properties useful for a variety of applications.

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Section: Lifetimesmentioning

confidence: 75%

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

2011

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“…where v D w is the reduced electric-dipole matrix element for the transition between states v and w and λ is corresponding wavelength in nm. The lifetime of the state v is calculated as 4) and the denominator of Eq. (4) gives the radiative width of the level v. Several electric-dipole (E1) transitions contribute to the lifetime of each of the levels considered here.…”

Section: Lifetimesmentioning

confidence: 99%

“…These results are combined with previous all-order calculations of the 5s − np and 6s − np matrix elements [3] to obtain values of the lifetimes of the 6s, 7s, 8s, 6p, 7p, 8p, 4d, 5d, and 6d levels. The lifetime of the 6d 3/2 level is of special interest owing to the large discrepancies between existing experiments [4,5]. The third-order matrix-element calculation has also been carried out to evaluate the importance of the higher-order contributions.…”

Section: Introductionmentioning

confidence: 99%

Relativistic many-body calculations of electric-dipole matrix elements, lifetimes, and polarizabilities in rubidium

2004

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Electric-dipole matrix elements for ns − n ′ p, nd − n ′ p, and 6d − 4f transitions in Rb are calculated using a relativistic all-order method. A third-order calculation is also carried out for these matrix elements to evaluate the importance of the high-order many-body perturbation theory contributions. The all-order matrix elements are used to evaluate lifetimes of ns and np levels with n = 6, 7, 8 and nd levels with n = 4, 5, 6 for comparison with experiment and to provide benchmark values for these lifetimes. The dynamic polarizabilities are calculated for ns states of rubidium. The resulting lifetime and polarizability values are compared with available theory and experiment.

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“…Glass of this type was used for two reasons: (i) as an alkali resistant glass and (ii) because the penetration of atmospheric helium through the walls of such cell is much weaker than for a Pyrex glass cell of similar dimensions, heated to the same temperature. Thus, unlike the case of Pyrex cells [21,22], the amount of atmospheric helium can be safely neglected as an impurity even after long periods of operation at elevated temperatures. The cell was a cylinder (86 mm high, 25 mm dia) vaulted at both ends.…”

Section: Experimental Set-up and Proceduresmentioning

confidence: 99%

Cross Sections for l-Mixing of K(n²F) States in Collisions with Ground-State K(4²S) Atoms

et al. 2000

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We report measurements of the cross sections σt-mix for angular momentum mixing of the K(n2F) (n = 6, 7, 8) states with the K(n, d > 3) states, induced in thermal collisions with parent ground state K(4 2S) atoms. The experiment was performed in a cell heated to ca. 450 K. The n2F states were excited in two steps: 4 2S-> 42P-4. n2F by using a diode laser for the first step (a dipole-transition) and a pulsed dye laser for the second step (a quadrupole-transition). The measured values σl-mix (62F) = 3. 6 ± 2. 2 , σ l-m i x (7 2 F) = 4. 2 ± 2. 6 a n d o l-m i x (82 F) = 8. 0 ± 4. 6 (i n u n i t s o f 10-13 cm-1) are close to the corresponding values of the geometrical cross sections.

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Inelastic cross-sections and natural lifetimes for the 62D3/2, 5/2 and 82S1/2 states of Rb

Cited by 10 publications

References 32 publications

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

Relativistic many-body calculations of electric-dipole matrix elements, lifetimes, and polarizabilities in rubidium

Cross Sections for l-Mixing of K(n²F) States in Collisions with Ground-State K(4²S) Atoms

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Inelastic cross-sections and natural lifetimes for the 62D3/2, 5/2 and 82S1/2 states of Rb

Cited by 10 publications

References 32 publications

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

Critically evaluated theoretical energies, lifetimes, hyperfine constants, and multipole polarizabilities inRb87

Relativistic many-body calculations of electric-dipole matrix elements, lifetimes, and polarizabilities in rubidium

Cross Sections for l-Mixing of K(n2F) States in Collisions with Ground-State K(42S) Atoms

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Cross Sections for l-Mixing of K(n²F) States in Collisions with Ground-State K(4²S) Atoms