Determination of absolute transition probabilities in neutral cerium from branching ratio and lifetime measurements

Bisson, Scott E.; Worden, Earl F.; Conway, John G.; Comaskey, B.; Stockdale, J. A. D.; Nehring, Fred

doi:10.1364/josab.8.001545

Cited by 24 publications

(45 citation statements)

References 12 publications

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“…We have chosen this energy region to cover the range explored in the experiment [15], where absolute values were derived for 228 of the most intense lines of neutral Ce between 10706 and 22184 cm −1 .…”

Section: B Dipole Matrix Elementsmentioning

confidence: 99%

“…On the other hand, the experimentally observed 228 lines include transitions between levels with various total angular momenta between J = 1 and 8 (|J i − J k | ≤ 1, of course) whereas we have about 500 hundred lines with just J i = J k = 4 in our calculation in the analogous energy range. This means that in [15] only the strongest 10% or less of all lines have in fact been measured. The very suggestive agreement with the PT distribution in Fig.…”

Section: Analysis Of Experimental Datamentioning

confidence: 99%

“…E1 amplitudes, and we should not be too concerned about the apparent disagreement with our numerical calculations. Besides that, extraction of absolute line strengths from the experimental data is not free from uncertainties estimated in [15] at 10-20%. For 30 transitions in Ce the gA values were obtained more accurately from branching ratios and delayed photoionization measurements of lifetimes ( [15], Table 2).…”

Section: Analysis Of Experimental Datamentioning

confidence: 99%

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Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms

1998

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Using a configuration interaction approach we study statistics of the dipole matrix elements (E1 amplitudes) between the 14 lower states with J π = 4 − and 21st to 100th even states with J = 4 in the Ce atom (1120 lines). We show that the distribution of the matrix elements is close to Gaussian, although the width of the Gaussian distribution, i.e. the root-mean-square matrix element, changes with the excitation energy. The corresponding line strengths are distributed according to the Porter-Thomas law which describes statistics of transition strengths between chaotic states in compound nuclei. We also show how to use a statistical theory to calculate mean squared values of the matrix elements or transition amplitudes between chaotic many-body states. We draw some support for our conclusions from the analysis of the 228 experimental line strengths in Ce [J. Opt. Soc. Am. 8, 1545(1991], although direct comparison with the calculations is impeded by incompleteness of the experimental data. Nevertheless, the statistics observed evidence that highly excited many-electron states in atoms are indeed chaotic.

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Section: B Dipole Matrix Elementsmentioning

confidence: 99%

Section: Analysis Of Experimental Datamentioning

confidence: 99%

Section: Analysis Of Experimental Datamentioning

confidence: 99%

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Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms

1998

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“…The branching ratio is generally determined from the relative intensities of emission lines over a wide wavelength range [5,10,[12][13][14]. As compared to the light elements, however, this method has disadvantages for Gd.…”

Section: Introductionmentioning

confidence: 99%

Measurement of radiative lifetime and branching ratio of Gd I using three-step resonance ionization spectroscopy

Miyabe¹,

Wakaida²,

Arisawa³

1997

Z Phys D - Atoms, Molecules and Clusters

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“…In their paper, Flambaum et al compared the line strengths measured in cesium by Bisson et al [32] with PorterThomas distribution. The agreement was good, but the authors refined the results taking into account the minimal threshold intensity that can be experimentally measured, within the modified Porter-Thomas distribution…”

Section: Distribution For the Line Strengthsmentioning

confidence: 99%

Regularities and symmetries in atomic structure and spectra

Pain¹

2013

High Energy Density Physics

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The use of statistical methods for the description of complex quantum systems was primarily motivated by the failure of a line-by-line interpretation of atomic spectra. Such methods reveal regularities and trends in the distributions of levels and lines. In the past, much attention was paid to the distribution of energy levels (Wigner surmise, random-matrix model...). However, information about the distribution of the lines (energy and strength) is lacking. Thirty years ago, Learner found empirically an unexpected law: the logarithm of the number of lines whose intensities lie between 2 k I0 and 2 k+1 I0, I0 being a reference intensity and k an integer, is a decreasing linear function of k. In the present work, the fractal nature of such an intriguing regularity is outlined and a calculation of its fractal dimension is proposed. Other peculiarities are also presented, such as the fact that the distribution of line strengths follows Benford's law of anomalous numbers, the existence of additional selection rules (PH coupling), the symmetry with respect to a quarter of the subshell in the spinadapted space (LL coupling) and the odd-even staggering in the distribution of quantum numbers, pointed out by Bauche and Cossé.

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Determination of absolute transition probabilities in neutral cerium from branching ratio and lifetime measurements

Cited by 24 publications

References 12 publications

Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms

Statistics of electromagnetic transitions as a signature of chaos in many-electron atoms

Measurement of radiative lifetime and branching ratio of Gd I using three-step resonance ionization spectroscopy

Regularities and symmetries in atomic structure and spectra

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