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A basic prediction of the statistical model of compound nucleus reactions is that the partial widths for decay into any open channel channel fluctuate according to the Porter-Thomas distribution (PTD). A recent experiment on $s$- and…

核理论 · 物理学 2018-11-06 P. Fanto , G. F. Bertsch , Y. Alhassid

A recent experiment on s-wave neutron scattering from $^{192,194,196}$Pt found that the reduced neutron width distributions deviate significantly from the expected Porter-Thomas distribution (PTD), and several explanations have been…

核理论 · 物理学 2018-07-11 P. Fanto , G. F. Bertsch , Y. Alhassid

Experimental evidence has recently put the validity of the Porter-Thomas distribution (PTD) for partial neutron widths into question. We identify two terms in the effective Hamiltonian that violate orthogonal invariance (the basis for the…

核理论 · 物理学 2015-08-05 Alexander Volya , Hans A. Weidenmüller , Vladimir Zelevinsky

We introduce a new method for the study of fluctuations of partial transition widths based on nuclear resonance fluorescence experiments with quasimonochromatic linearly polarized photon beams below particle separation thresholds. It is…

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory…

核理论 · 物理学 2012-10-09 Gavriil Shchedrin , Vladimir Zelevinsky

I have analyzed reduced neutron widths ({\Gamma}_{n}^0) for the subset of 1245 resonances in the nuclear data ensemble (NDE) for which they have been reported. Random matrix theory (RMT) predicts for the Gaussian orthogonal ensemble (GOE)…

核理论 · 物理学 2015-05-14 P. E. Koehler

The Porter-Thomas (PT) distribution of resonance widths is one of the oldest and simplest applications of statistical ideas in nuclear physics. Previous experimental data confirmed it quite well but recent and more careful investigations…

数学物理 · 物理学 2017-01-18 E. Bogomolny

Recent data on neutron resonance widths indicate disagreement with the Porter-Thomas distribution (PTD). I discuss the theoretical arguments for the PTD, possible theoretical modifications, and I summarize the experimantal evidence.

核理论 · 物理学 2011-10-31 Hans A. Weidenmueller

On the basis of experiments conducted in the 1970s and earlier, it is believed that, in a compound nucleus (CN), fluctuations in transition strengths are drawn from a Porter-Thomas distribution (PTD), a $\chi^2$ distribution of one degree…

核理论 · 物理学 2018-10-10 E. D. Davis

Porter-Thomas fluctuations of neutron widths skew compound nuclear decay probabilities from their statistical Hauser-Feshbach values. We present a straightforward method to correct Hauser-Feshbach calculations for these fluctuations, useful…

核理论 · 物理学 2025-03-25 Oliver C. Gorton , Jutta E. Escher

We consider interference effects between p-wave resonance scattering amplitude and background s-wave amplitude in low-energy neutron scattering from a heavy nucleus which goes through the compound nucleus stage. The first effect is in the…

核理论 · 物理学 2009-08-18 J. C. Berengut , V. V. Flambaum , G. F. Gribakin

We obtained an unprecedentedly large number of s-wave neutron widths through R-matrix analysis of neutron cross-section measurements on enriched Pt samples. Careful analysis of these data rejects the validity of the Porter-Thomas…

核实验 · 物理学 2014-11-21 P. E. Koehler , F. Bečvář , M. Krtička , J. A. Harvey , K. H. Guber

We investigate the statistical properties of neutron-induced nuclear reactions on $^{238}$U using the GOE-$S$-matrix model, in which the Gaussian Orthogonal Ensemble (GOE) is embedded into the scattering ($S$) matrix. The GOE-$S$-matrix…

核理论 · 物理学 2025-10-02 K. Fujio , T. Kawano , A. E. Lovell , D. Neudecker

Statistical $\gamma$-decay from highly excited states is determined by the nuclear level density (NLD) and the $\gamma$-ray strength function ($\gamma$SF). These average quantities have been measured for several nuclei using the Oslo…

We analyze the statistics of resonance widths in a many-body Fermi system with open decay channels. Depending on the strength of continuum coupling, such a system reveals growing deviations from the standard chi-square (Porter-Thomas) width…

介观与纳米尺度物理 · 物理学 2014-03-31 G. L. Celardo , N. Auerbach , F. M. Izrailev , V. G. Zelevinsky

A recent Letter attempted to reconcile the disagreement between neutron resonance data and random matrix theory (RMT). To this end, a new formula was derived for transforming measured ({\Gamma}_{{\lambda}n}) to reduced…

核理论 · 物理学 2011-01-25 P. E. Koehler , F. Bečvář , M. Krtička , J. A. Harvey , K. H. Guber

There have been many reports of non-statistical effects in neutron-capture measurements. However, reports of deviations of reduced-neutron-width distributions from the expected Porter-Thomas (PT) shape largely have been ignored. Most of…

In the frameworks of hypothesis of practical constancy of the neutron resonance number in small fixed intervals of neutron energy, their most probable value was determined for nucleus mass region 230<A<244 from approximation of the reduced…

核实验 · 物理学 2011-05-31 A. M. Sukhovoj , V. A. Khitrov

We obtained total radiation widths of s-wave resonances through R-matrix analysis of 147Sm(n,gamma) cross-sections. Distributions of these widths differ markedly for resonances below and above 300 eV, in stark contrast to long-established…

Deviations of neutron scattering width distributions from the Porter-Thomas law due to resonances overlapping are calculated in the extended framework of the random matrix approach.

核理论 · 物理学 2018-12-07 Oleg V. Zhirov
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