Application of Statistical Tests for Single-Level Populations to Neutron-Resonance-Spectroscopy Data

Liou, H.I.; Camarda, H. S.; Rahn, F.

doi:10.1103/physrevc.5.1002

Cited by 43 publications

(20 citation statements)

References 7 publications

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“…[72] and to S 0 = (0.84 ± 0.08) × 10 −4 from Refs. [16,65]. If one observes this estimate as a function of the energy interval as shown in the lower panel of Fig.…”

Section: Determination Of the Neutron S-wave Strength Function Smentioning

confidence: 81%

“…[16,65]. In the heavy compound nucleus 233 Th at excitation energies just above the neutron binding energy, the statistical model assumes that the matrix elements relating nuclear states are random variables with a Gaussian distribution with zero mean.…”

Section: Statistical Analysis Of Nuclear Levelsmentioning

confidence: 99%

“…The obtained values are always higher than the 16.8-eV value found in Refs. [16,65], probably related to the applied division here between = 0 cumulative number of levels and = 1 resonances. It should be stressed that this estimate is not reliable since it does not take into account missing levels.…”

Section: A Orbital Momentum Assignmentmentioning

confidence: 99%

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Publisher's Note: Measurement of resolved resonances of232Th(n,γ) at the n_TOF facility at CERN [Phys. Rev. C85, 064601 (2012)]

Gunsing¹,

Berthoumieux²,

Aerts³

et al. 2012

Phys. Rev. C

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The yield of the neutron capture reaction 232 Th(n, γ ) has been measured at the neutron time-of-flight facility n_TOF at CERN in the energy range from 1 eV to 1 MeV. The reduction of the acquired data to the capture yield for resolved resonances from 1 eV to 4 keV is described and compared to a recent evaluated data set. The resonance parameters were used to assign an orbital momentum to each resonance. A missing level estimator was used to extract the s-wave level spacing of D 0 = 17.2 ± 0.9 eV.

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“…[72] and to S 0 = (0.84 ± 0.08) × 10 −4 from Refs. [16,65]. If one observes this estimate as a function of the energy interval as shown in the lower panel of Fig.…”

Section: Determination Of the Neutron S-wave Strength Function Smentioning

confidence: 81%

Section: Statistical Analysis Of Nuclear Levelsmentioning

confidence: 99%

See 1 more Smart Citation

Publisher's Note: Measurement of resolved resonances of232Th(n,γ) at the n_TOF facility at CERN [Phys. Rev. C85, 064601 (2012)]

Gunsing¹,

Berthoumieux²,

Aerts³

et al. 2012

Phys. Rev. C

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“…In the present work the same statistical tests which have been applied to neutron resonances are applied to a set of 1/2 + resonances observed in the reaction 56Fe(p,p). One of the advantages of proton resonance studies is the ability to make an unambiguous assignment of the orbital angular momentum (1), and thus obtain for s-wave resonances a unique spin and * Supported in part by US Department of Energy parity assignment of J~= 1/2 +. The first and only other statistical work with proton resonances was also performed at TUNL by Wilson et al [5].…”

Section: Introductionmentioning

confidence: 99%

Statistical tests applied to proton resonances in57Co

1981

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Statistical tests are applied to a sequence of 1/2 + resonances observed in 56Fe(p,p) and the results are compared with predictions of the random matrix model. The target nucleus and proton energy were chosen to yield favorable level densities, strength functions, and Coulomb penetrabilities. In addition, the TUNL high resolution system provides excellent sensitivity to small resonances. These points combine to yield a fairly pure and complete sequence, as indicated by the Dyson F statistic and the Dyson-Mehta A 3 statistic. Good agreement is found with the orthogonal ensemble predictions for the long and short range spacing correlations, and for the widths of the k-th nearest neighbor spacing distributions for k=0 to 10.

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“…Recently, a new procedure to obtain information on the degree of chaoticity of a classical system from the spectral properties of the corresponding quantum system was developed for incomplete sequences of levels [47,48]. Incomplete spectra pose major problems in real physical systems like, e.g., nuclei and molecules [49][50][51][52], which have to be overcome, so such procedures are indispensable for their analysis [53,54]. The effect of missing levels is particularly large for long-range spectral fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Missing Level Statistics for Microwave Networks Simulating Quantum Chaotic Graphs Without Time Reversal Symmetry - the Case of Randomly Lost Resonances

et al. 2017

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We present experimental and numerical studies for level statistics in incomplete spectra obtained with microwave networks simulating quantum chaotic graphs with broken time reversal symmetry. We demonstrate that, if resonance frequencies are randomly removed from the spectra, the experimental results for the nearest-neighbor spacing distribution, the spectral rigidity and the average power spectrum are in good agreement with theoretical predictions for incomplete sequences of levels of systems with broken time reversal symmetry.

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Application of Statistical Tests for Single-Level Populations to Neutron-Resonance-Spectroscopy Data

Cited by 43 publications

References 7 publications

Publisher's Note: Measurement of resolved resonances of232Th(n,γ) at the n_TOF facility at CERN [Phys. Rev. C85, 064601 (2012)]

Publisher's Note: Measurement of resolved resonances of232Th(n,γ) at the n_TOF facility at CERN [Phys. Rev. C85, 064601 (2012)]

Statistical tests applied to proton resonances in57Co

Analysis of Missing Level Statistics for Microwave Networks Simulating Quantum Chaotic Graphs Without Time Reversal Symmetry - the Case of Randomly Lost Resonances

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