### Abstract

Background: α-nucleus potentials play an essential role in 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 (typically at higher energies) and to the energy dependence of the effective α-nucleus potentials. Purpose: The present work studies cross sections of α-induced reactions for Zn64 at low energies and their dependence on the chosen input parameters of the statistical model calculations. The new experimental data from the recent Atomki experiments allow for a χ2-based estimate of the uncertainties of calculated cross sections at very low energies. Method: Recently measured data for the (α,γ), (α,n), and (α,p) reactions on Zn64 are compared to calculations in the statistical model. A survey of the parameter space of the widely used computer code talys is given, and the properties of the obtained χ2 landscape are discussed. Results: The best fit to the experimental data at low energies shows χ2/F≈7.7 per data point, which corresponds to an average deviation of about 30% between the best fit and the experimental data. Several combinations of the various ingredients of the statistical model are able to reach a reasonably small χ2/F, not exceeding the best-fit result by more than a factor of 2. Conclusions: The present experimental data for Zn64 in combination with the statistical model calculations allow us to constrain the astrophysical reaction rate within about a factor of 2. However, the significant excess of χ2/F of the best fit from unity demands further improvement of the statistical model calculations and, in particular, the α-nucleus potential.

Original language | English |
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Article number | 015807 |

Journal | Physical Review C |

Volume | 95 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 26 2017 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Statistical model analysis of α -induced reaction cross sections of Zn 64 at low energies.** / Mohr, P.; Gyürky, G.; Fülöp, Zs. S.

Research output: Contribution to journal › Article

*Physical Review C*, vol. 95, no. 1, 015807. https://doi.org/10.1103/PhysRevC.95.015807

}

TY - JOUR

T1 - Statistical model analysis of α -induced reaction cross sections of Zn 64 at low energies

AU - Mohr, P.

AU - Gyürky, G.

AU - Fülöp, Zs. S.

PY - 2017/1/26

Y1 - 2017/1/26

N2 - Background: α-nucleus potentials play an essential role in 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 (typically at higher energies) and to the energy dependence of the effective α-nucleus potentials. Purpose: The present work studies cross sections of α-induced reactions for Zn64 at low energies and their dependence on the chosen input parameters of the statistical model calculations. The new experimental data from the recent Atomki experiments allow for a χ2-based estimate of the uncertainties of calculated cross sections at very low energies. Method: Recently measured data for the (α,γ), (α,n), and (α,p) reactions on Zn64 are compared to calculations in the statistical model. A survey of the parameter space of the widely used computer code talys is given, and the properties of the obtained χ2 landscape are discussed. Results: The best fit to the experimental data at low energies shows χ2/F≈7.7 per data point, which corresponds to an average deviation of about 30% between the best fit and the experimental data. Several combinations of the various ingredients of the statistical model are able to reach a reasonably small χ2/F, not exceeding the best-fit result by more than a factor of 2. Conclusions: The present experimental data for Zn64 in combination with the statistical model calculations allow us to constrain the astrophysical reaction rate within about a factor of 2. However, the significant excess of χ2/F of the best fit from unity demands further improvement of the statistical model calculations and, in particular, the α-nucleus potential.

AB - Background: α-nucleus potentials play an essential role in 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 (typically at higher energies) and to the energy dependence of the effective α-nucleus potentials. Purpose: The present work studies cross sections of α-induced reactions for Zn64 at low energies and their dependence on the chosen input parameters of the statistical model calculations. The new experimental data from the recent Atomki experiments allow for a χ2-based estimate of the uncertainties of calculated cross sections at very low energies. Method: Recently measured data for the (α,γ), (α,n), and (α,p) reactions on Zn64 are compared to calculations in the statistical model. A survey of the parameter space of the widely used computer code talys is given, and the properties of the obtained χ2 landscape are discussed. Results: The best fit to the experimental data at low energies shows χ2/F≈7.7 per data point, which corresponds to an average deviation of about 30% between the best fit and the experimental data. Several combinations of the various ingredients of the statistical model are able to reach a reasonably small χ2/F, not exceeding the best-fit result by more than a factor of 2. Conclusions: The present experimental data for Zn64 in combination with the statistical model calculations allow us to constrain the astrophysical reaction rate within about a factor of 2. However, the significant excess of χ2/F of the best fit from unity demands further improvement of the statistical model calculations and, in particular, the α-nucleus potential.

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U2 - 10.1103/PhysRevC.95.015807

DO - 10.1103/PhysRevC.95.015807

M3 - Article

VL - 95

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 1

M1 - 015807

ER -