21-MeV Alpha-Particle Scattering on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>58</mml:mn><mml:mo>−</mml:mo><mml:mn>64</mml:mn><mml:mn /></mml:math>Targets

Fulmer, C.B.; Benveniste, J.; Mitchell, A. C.

doi:10.1103/physrev.165.1218

Cited by 42 publications

(7 citation statements)

References 13 publications

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“…For completeness it should also be mentioned that the data shown in Fig. 4 of [44] are also about 10% lower than the values given in Table V of [44].…”

Section: Elasticmentioning

confidence: 82%

“…2 of [43]; therefore, a fixed uncertainty of 5% has been assigned to all data points. Note that the chosen absolute value of 5% does affect the resulting χ 2 /F but does not affect the χ The data of Fulmer et al [44] at E lab = 21.3 MeV are available in tabular form (Table V of [44]). The data reach the backward angular range up to ϑ ≈ 165…”

Section: Elasticmentioning

confidence: 99%

“…Fits with fixed N = 1.0 lead in many cases to much poorer χ 2 of the fit. For example, in the case of the 21.3-MeV data of Fulmer et al [44], χ 2 reduces by about a factor of 4 from fixed N = 1.0 to fitted N = 0.787. The resulting OMP parameters remain relatively stable with variations of about 2% for the volume integrals J R and J I .…”

Section: Elasticmentioning

confidence: 99%

“…Here it is interesting to note that a much better description of the experimental data can be obtained as soon as the absolute normalization of the data is considered as a free parameter. The best fit is obtained using a normalization of 0.787 for the data in Table V of [44]. Nevertheless, the resulting parameters of the fits do not change dramatically; i.e., already the shape of the angular distribution is able to constrain the fit reasonably well.…”

Section: Elasticmentioning

confidence: 99%

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α scattering and α -induced reaction cross sections of Zn64 at low energies

Ornelas¹,

Mohr²,

Gyürky³

et al. 2016

Phys. Rev. C

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Background: α-nucleus potentials play an essential role for the calculation of α-induced reaction cross sections at low energies in the statistical model. Uncertainties of these calculations are related to ambiguities in the adjustment of the potential parameters to experimental elastic scattering angular distributions and to the energy dependence of the effective α-nucleus potentials. Purpose: The present work studies the total reaction cross section σ reac of α-induced reactions at low energies which can be determined from the elastic scattering angular distribution or from the sum over the cross sections of all open nonelastic channels. Method: Elastic and inelastic64 Zn(α,α) 64 Zn angular distributions were measured at two energies around the Coulomb barrier, at 12.1 and 16.1 MeV. Reaction cross sections of the (α,γ ), (α,n), and (α,p) reactions were measured at the same energies using the activation technique. The contributions of missing nonelastic channels were estimated from statistical model calculations. Results: The total reaction cross sections from elastic scattering and from the sum of the cross sections over all open nonelastic channels agree well within the uncertainties. This finding confirms the consistency of the experimental data. At the higher energy of 16.1 MeV, the predicted significant contribution of compound-inelastic scattering to the total reaction cross section is confirmed experimentally. As a by-product it is found that most recent global α-nucleus potentials are able to describe the reaction cross sections for 64 Zn around the Coulomb barrier. Conclusions: Total reaction cross sections of α-induced reactions can be well determined from elastic scattering angular distributions. The present study proves experimentally that the total cross section from elastic scattering is identical to the sum of nonelastic reaction cross sections. Thus, the statistical model can reliably be used to distribute the total reaction cross section among the different open channels.

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“…For completeness it should also be mentioned that the data shown in Fig. 4 of [44] are also about 10% lower than the values given in Table V of [44].…”

Section: Elasticmentioning

confidence: 82%

Section: Elasticmentioning

confidence: 99%

Section: Elasticmentioning

confidence: 99%

Section: Elasticmentioning

confidence: 99%

See 2 more Smart Citations

α scattering and α -induced reaction cross sections of Zn64 at low energies

Ornelas¹,

Mohr²,

Gyürky³

et al. 2016

Phys. Rev. C

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“…(1) at relatively low energies around the Coulomb barrier because it is implicitly used in all the above mentioned studies of (α,γ) and (α,n) reactions [13][14][15][16][17][18][19][20][21][22][23]. The target nucleus 64 Zn is an almost perfect candidate for such a study because (i) a series of experiments have measured angular distributions of elastic (α,α) scattering in the energy range from 12 to 50 MeV [24,25] which enables to study the 64 Zn-α potential in a wide energy range, and (ii) almost all relevant reaction channels at low energies lead to unstable residual nuclei which can be measured using the activation technique. Thus, this experiment can use a completely different experimental approach for the determination of σ reac where the systematic uncertainties of transmission experiments can be avoided (see discussion in [6]).…”

mentioning

confidence: 99%

Relation between total cross sections from elastic scattering andα-induced reactions: The example of64Zn

et al. 2012

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The total reaction cross section is related to the elastic scattering angular distribution by a basic quantum-mechanical relation. We present new experimental data for α-induced reaction cross sections on 64 Zn which allow for the first time the experimental verification of this simple relation at low energies by comparison of the new experimental reaction data to the result obtained from 64 Zn(α,α) 64 Zn elastic scattering.PACS numbers: 24.10. Ht,24.60.Dr, A main application of quantum mechanics is nuclear physics. Here basic theoretical relations can be tested experimentally with high precision. An interesting example is the simple relation between the total (non-elastic) reaction cross section σ reac and the elastic scattering cross section:Here k = √ 2µE c.m. /h is the wave number, E c.m. is the energy in the center-of-mass (c.m.) system, and η L and δ L are the real reflexion coefficients and scattering phase shifts which define the angular distribution dσ dΩ (ϑ) of elastic scattering. Eq. (1) is derived from a partial wave analysis using the standard two-body Schrödinger equation. This Eq. (1) is widely used, in particular in the calculation of reaction cross sections using the statistical model (StM; to avoid confusion with the widely used abb. "SM" for "shell model"). In the following discussion we will focus on α-induced reactions at low energies.In the StM the reaction cross section of an α-induced (α,X) reaction is calculated in two steps. In the first step the total reaction cross section σ reac is calculated using Eq. (1); the reflexion coefficients η L are determined by solving the Schrödinger equation using a global α-nucleus potential, e.g. the widely used potential by McFadden and Satchler [1]. Compound formation is the dominating absorption mechanism at energies from a few MeV up to about several tens of MeV; thus, it is assumed that the compound formation cross section is approximately given by the total reaction cross section: σ compound ≈ σ reac . In the second step σ compound is distributed among all open channels. The decay branching is obtained from the transmission factors into the various open channels which are again calculated using global potentials for each (outgoing particle + residual nucleus) channel or from the photon strength function in the case of the (α,γ) channel. Further details of the StM can be found in the recent review [2].To our knowledge, the underlying basic relation in Eq. (1) has never been verified experimentally for α-induced reactions at low energies around or below the Coulomb barrier. Although there is no special reason to suspect to Eq. (1) for the particular case of α-induced reactions, an experimental verification assures its application for the calculation of reaction cross sections which has turned out to be difficult especially at low energies (see discussion below). Alternatively, if the validity of Eq. (1) is assumed a priori, it can be used as a stringent test for consistency between different methods for the determination of σ reac . σ reac has ...

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