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International Reactor Dosimetry File 2002 - IAEA Publications

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cross-sections, and as a consequence the uncertainties in the evaluated crosssection<br />

values are reduced.<br />

Additional information was obtained from theoretical model calculations<br />

for the excitation functions of the dosimetry reactions 47 Ti(n,x) 46 Sc m+g ,<br />

48 Ti(n,x) 47 Sc, 49 Ti(n,x) 48 Sc, 139 La(n,γ) 140 La, 186 W(n,γ) 187 W, 204 Pb(n,n¢) 204 Pb m and<br />

237 Np(n,f).<br />

The optical statistical method was used in order to obtain a theoretical<br />

description of the excitation functions of the above mentioned reactions, taking<br />

into account the contribution of the direct, pre-equilibrium and statistical<br />

equilibrium processes to the different outgoing channels. Cross-sections were<br />

calculated using modified versions of GNASH [2.4] and STAPRE [2.5]. The<br />

principal difference between the original GNASH code [2.6] and this modified<br />

version is that the latter contains a subroutine for calculation of the width<br />

fluctuation correction. Calculations of penetrability coefficients for neutrons<br />

were performed using the generalized optical model, which permits estimation<br />

of the cross-sections for the direct excitations of collective low lying levels; the<br />

ECIS coupled channel deformed optical model code was used for these calculations<br />

[2.7]. The optical coefficients of proton and alpha particle penetrabilities<br />

were determined using the SCAT2 code [2.8].<br />

Modified GNASH was used to calculate the cross-sections from 1 keV to<br />

20 MeV for the 139 La(n,γ) 140 La and 186 W(n,γ) 187 W reactions. The same data for<br />

the 47 Ti(n,x) 46 Sc m+g , 48 Ti(n,x) 47 Sc, 49 Ti(n,x) 48 Sc and 204 Pb(n,n¢) 204 Pb m reactions<br />

were obtained from threshold to 20 MeV, and the results of the STAPRE calculations<br />

were used as supplementary information for the 237 Np(n,f) cross-section<br />

evaluation between 10 and 20 MeV.<br />

Evaluations of the excitation functions for the dosimetry reactions were<br />

carried out using prepared input data, within the framework of the generalized<br />

least squares method. The rational function was used as a model function [2.9],<br />

and calculations of the recommended cross-section data and the related<br />

covariance uncertainty matrices were performed using PADE-2 [2.10].<br />

The multi-level Breit–Wigner (MLBW) resonance parameters used for<br />

the calculation of the excitation functions in the resolved resonance region of<br />

the 139 La(n,γ) 140 La, 186 W(n,γ) 187 W and 237 Np(n,f) reactions were evaluated on<br />

the basis of data given in the compilations of Mughabghab et al. [2.11] and<br />

Sukhoruchkin et al. [2.12]. Radiative capture cross-sections for 139 La and 186 W<br />

nuclei in the unresolved resonance region were evaluated on the basis of calculations<br />

performed using EVPAR [2.13].<br />

Three block matrices give the uncertainties in the evaluated excitation<br />

function for the 139 La(n,γ) 140 La and 186 W(n,γ) 187 W reactions. The first and<br />

second matrices describe the cross-section uncertainty in the resolved<br />

resonance region, while the third block matrix defines the uncertainty of the<br />

7

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