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Measurement and uncertainty propagation of the (γ,n) reaction cross-section of 58Ni and 59Co at 15 MeV bremsstrahlung

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Veröffentlicht/Copyright: 21. Dezember 2017

Abstract

Activation cross-section of photon-induced reaction on structural materials 58Ni and 59Co was measured at the bremsstrahlung endpoint energy 15 MeV from an S band electron linac. The uncertainties in the (γ,n) reaction cross-section of both 58Ni and 59Co were estimated by using the concept of covariance analysis. The cross-section of 58Ni(γ,n)57Ni reaction in the present work is slightly lower than the previous experimental data and the TENDL-2015 data. The cross-section of 59Co(γ,n)58Co reaction has been measured for the first time. However, the present experimental data of 59Co(γ,n)58Co reaction is very low in comparison to the TENDL-2015 and JENDL/PD-2004 data.

Acknowledgement

This work has been carried out as a joint collaboration between Department of Physics, North Eastern Hill University and B.A.R.C, Mumbai. One of the authors (R. Ghosh) is greatly indebted to the crew of Society of Applied Microwave Electronics Engineering and Research (SAMEER), for their help in the irradiation of the samples. The author (R. Ghosh) also acknowledges the support of Board of Research in Nuclear Sciences, Department of Atomic Energy, Mumbai for funding the research project. The author is also grateful to Tim Vidmar, SCK CEN, Belgian Nuclear Research Centre, Boeretang 200, BE-2400 Mol, Belgium, for provoding EFFTRAN code. The authors are highly indebted to Dr. N.Otsuka, Nuclear Data Section, International Atomic Energy Agency, Vienna, Austria for helping with the formulation part of the covariance analysis. The authors also thank Prof. B. Lalremruata of Mizoram University, Aizawl for guidance and suggestion for the present work.

Appendix

Determination of uncertainty in cross-section

The cross-section as given in equation (20) is,

(A1)σs=σAuCsWAuaAuAVSIγAuεγAufAuCAuWsasAVAuIγsεγsfsRφ

The sources of uncertainty in the cross-section calculation are C, W, a, AV, Iγ, ε and f related to both the sample and the monitor. However, the uncertainty due to weight of the sample and atomic weight of the element (AV) are negligible so they are not considered in the uncertainty propagation of σs. Also, <σAu> and Rϕ are treated as constants as there is lack of uncertainty information for both these quantities. Hence, σs can be treated as a function of C, W, a, AV, Iγ, ε and f and can be expressed as,

(A2)σs=F(C,a,Iγ,ε,f)

Except for the ε of the sample and the monitor, there does not exist any correlation within the attributes, i.e. the counts of sample are independent of that of the monitor. In case of the efficiency, ε, attribute, the efficiency of the sample is correlated to that of the monitor, due to model used to obtain the efficiencies. Thus the uncertainty in σs can be propagated as,

(A3)(Δσsσs)2=(ΔCsCs)2+(ΔCAuCAu)2+(Δasas)2+(ΔIγsIγs)2+(ΔIγAuIγAu)2+(Δεsεs)2+(ΔεAuεAu)2+2Cov(εs,εAu)+(Δfsfs)2+(ΔfAufAu)2

where, Cov(εs,εAu) covariance between εs and εAu., i.e.

(A4)Cov(εs,εAu)=(Δεsεs)Corr(εs,εAu)(ΔεAuεAu)

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Received: 2017-7-21
Accepted: 2017-11-2
Published Online: 2017-12-21
Published in Print: 2018-5-24

©2018 Walter de Gruyter GmbH, Berlin/Boston

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