Critical analysis of statistical methods used to detect resonances in nuclear reactions

Dennis, L.; Thornton, S.T.; Cordell, K.R.

doi:10.1103/physrevc.19.777

Cited by 24 publications

(4 citation statements)

References 25 publications

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“…Thus, our first step was to analyse the excitation functions of the different Ni+Ni scattering channels, using statistical methods that permit to single out structure of non-statistical character. Combining informations from the total excitation function σ tot (E), the deviation function D(E) and the cross-correlation function C(E) [21], we identified a total of 7 structures in the two colliding systems. For 6 of them, we could say with at least a 3 standard-deviation level of confidence (∼ 99% confidence level) that they were not of statistical origin.…”

Section: Discussionmentioning

confidence: 99%

Evidence of non-statistical structures in the elastic and inelastic scattering of58Ni+58Ni and58Ni+62Ni and intermediate dinuclear states

Vannucci

Abbondanno

Bettiolo

et al. 1996

Z. Physik A — Hadrons and Nuclei

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Excitation functions and angular distributions of 58 Ni+ 58 Ni and 58 Ni+ 62 Ni scattering at energies just above the Coulomb barrier have been measured around θ cm = 90 • in energy steps ∆E cm = 0.25 MeV from E cm 110 MeV to E cm 120 MeV for 58 Ni+ 58 Ni and from E cm 110 MeV to E cm 118 MeV for 58 Ni+ 62 Ni. Evidence for structure of non-statistical character has been found in the angle-summed excitation functions; this evidence is corroborated by the analysis of the angular distributions. This is the first time that non-statistical structure in elastic and inelastic scattering is reported with high confidence level for this mass and excitation energy ranges. Attempts are presented to understand the nature of this structure, including the presence of intermediate dinuclear states and virtual states in a potential well.

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Section: Discussionmentioning

confidence: 99%

Evidence of non-statistical structures in the elastic and inelastic scattering of58Ni+58Ni and58Ni+62Ni and intermediate dinuclear states

Vannucci

Abbondanno

Bettiolo

et al. 1996

Z. Physik A — Hadrons and Nuclei

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“…The structure at Ec.m. = 49.23 MeV (most prominent peak in the summed excitation function) cannot be seen in D(E) and C(E) due to our energy averaging procedure (see text) tion coefficients between different (elastic and inelastic) channels by using the expression [18].…”

Section: (D(e)) and The Energy Dependent Cross-correlation Function mentioning

confidence: 98%

Resonant structures in24Mg+28Si elastic and inelastic scattering

Sarma

Singh

1990

Z. Physik A - Atomic Nuclei

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The data on the excitation functions of 24Mg + 28Si elastic and inelastic (2 + -0 +, 2 + -2 +, 4 + -0 + and 4 + -2 +) scattering from E .... =48.97 to 57.21 MeV have been subjected to a statistical analysis consisting of the calculations of deviation function, cross-correlation function, summed excitation function, cross-channel correlation coefficients, coherence widths, and the distribution of cross sections. Based on the outcome of the analysis reso-

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“…For locating the resonant/nonstatistical structures in the excitation functions it is very useful (the correlated structures can be clearly seen) to calculate deviation and energy dependent cross-correlation functions which are respectively defined as [20] D(E)=~---~/ da,(E) 1)…”

Section: Deviation and Energy Dependent Cross-correlation Functionsmentioning

confidence: 99%

“…We calculated the cross-correlation coefficients between different reaction channels by employing the expression [20] …”

Section: Cross-channel Correlation Coefficientsmentioning

confidence: 99%

Nonstatistical structures in the excitation functions of20Ne(16O,12C)24Mg and20Ne(16O,20Ne)16O reactions

Sarma

Singh

1989

Z. Physik A - Atomic Nuclei

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Critical analysis of statistical methods used to detect resonances in nuclear reactions

Cited by 24 publications

References 25 publications

Evidence of non-statistical structures in the elastic and inelastic scattering of58Ni+58Ni and58Ni+62Ni and intermediate dinuclear states

Evidence of non-statistical structures in the elastic and inelastic scattering of58Ni+58Ni and58Ni+62Ni and intermediate dinuclear states

Resonant structures in24Mg+28Si elastic and inelastic scattering

Nonstatistical structures in the excitation functions of20Ne(16O,12C)24Mg and20Ne(16O,20Ne)16O reactions

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