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Fission Product Yield Data for the Transmutation of Minor Actinide ...

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5.1.2.3. Multi-chance fission contributions<br />

Maslov has per<strong>for</strong>med a <strong>the</strong>oretical study <strong>of</strong><br />

<strong>the</strong> fission mechanisms and <strong>the</strong> emissive fission<br />

contributions to <strong>the</strong> total fission cross-section in<br />

order to obtain <strong>the</strong> contributions <strong>of</strong> <strong>the</strong> fissioning<br />

nuclides to <strong>the</strong> total fission yield distributions.<br />

<strong>Fission</strong> cross-sections <strong>for</strong> neutron and proton<br />

induced reactions have been analysed and<br />

compared with different model calculations to<br />

obtain <strong>the</strong> best descriptions (Section 3.1). The<br />

statistical model was found to be <strong>the</strong> most adequate<br />

<strong>for</strong> this purpose. Also, <strong>the</strong> emissive fission contribution<br />

to <strong>the</strong> observed fission cross-section is<br />

dependent on target fissility and fission probability<br />

<strong>for</strong> high excitation energies. A method <strong>of</strong> partitioning<br />

<strong>the</strong> observed neutron induced fission crosssection<br />

into emissive and non-emissive fission has<br />

been validated <strong>for</strong> all neutron energies up to<br />

200 MeV on Th, U, Np and Pu target nuclides.<br />

Emissive fission contributions (also <strong>for</strong> symmetric<br />

and asymmetric fission separately) have been<br />

calculated <strong>for</strong> several target nuclides.<br />

5.1.2.4. Systematics derived from experimental data<br />

The systematic behaviour <strong>of</strong> <strong>the</strong> energy<br />

dependence <strong>of</strong> <strong>the</strong> experimental fission yields has<br />

been studied <strong>for</strong> several fissioning nuclides:<br />

(a) Global systematics <strong>of</strong> <strong>the</strong> dependences <strong>of</strong><br />

fission product mass distributions on fissioning<br />

nuclide and excitation energy have been<br />

derived from experimental data <strong>for</strong> neutron,<br />

photon and charged particle induced fission;<br />

(b) Experimental data are insufficient to derive<br />

global systematics <strong>for</strong> fission product charge<br />

distributions, and <strong>the</strong>oretical models do not<br />

provide adequate descriptions — <strong>the</strong>re<strong>for</strong>e<br />

<strong>the</strong> empirical Z p model as developed from low<br />

energy fission data was used, and parameter<br />

values were determined by <strong>the</strong> least squares<br />

method from fractional independent and<br />

cumulative yield values derived from <strong>the</strong> few<br />

available experimental data.<br />

5.1.2.5. Phenomenological models<br />

<strong>for</strong> <strong>the</strong> fission yield distributions<br />

derived from experimental data<br />

Two new phenomenological models have been<br />

developed <strong>for</strong> <strong>the</strong> analysis <strong>of</strong> experimental yield<br />

distributions from neutron, proton and alpha<br />

240<br />

particle induced fission (see Sections 5.1.3.4 and<br />

5.1.3.5). Detailed studies <strong>of</strong> <strong>the</strong> dependences <strong>of</strong><br />

model parameters on target nuclide, projectile and<br />

incident particle energy have revealed regularities<br />

in <strong>the</strong>ir behaviour that can be used <strong>for</strong> systematics.<br />

Thus <strong>the</strong> models and computer programs have been<br />

successfully adapted during <strong>the</strong> course <strong>of</strong> <strong>the</strong> CRP to<br />

allow predictive calculations <strong>of</strong> mass distributions.<br />

5.1.2.6. Theoretical prediction <strong>of</strong> fission yields<br />

at intermediate incident particle energies<br />

A new <strong>the</strong>oretical approach has been developed<br />

to predict fission yields at intermediate energies and<br />

solve <strong>the</strong> problems <strong>of</strong> emissive fission, as well as <strong>the</strong><br />

changing fission characteristics with excitation energy<br />

(Section 5.1.3.6). This approach is based on a newly<br />

developed version <strong>of</strong> <strong>the</strong> Brosa model <strong>for</strong> <strong>the</strong><br />

calculation <strong>of</strong> fission yield distributions [5.2], coupled<br />

to a nuclear reaction code <strong>for</strong> <strong>the</strong> calculation <strong>of</strong> fission<br />

cross-sections and emissive fission contributions.<br />

5.1.2.7. Progress towards computer programs<br />

<strong>for</strong> evaluations<br />

Models and systematics have been developed<br />

that can in principle be used <strong>for</strong> an evaluation <strong>of</strong><br />

energy dependent fission yields. However, <strong>the</strong><br />

results <strong>of</strong> <strong>the</strong> benchmark exercise are not conclusive<br />

enough to recommend one analytical method at <strong>the</strong><br />

present time, and <strong>the</strong> same is true <strong>for</strong> <strong>the</strong> computer<br />

programs. CYF (Section 5.1.3.3) and PYF (Section<br />

5.1.3.5; also available on <strong>the</strong> Internet [5.3]) are<br />

designed to be user friendly.<br />

5.1.3. Models and systematics<br />

5.1.3.1. <strong>Fission</strong> yield systematics and<br />

covariance study <strong>of</strong> 238 U (Liu Tingjin)<br />

The work <strong>of</strong> Liu Tingjin was restricted to 238 U<br />

fission yields, and no attempt was made to derive<br />

parameters <strong>for</strong> global systematics in order to predict<br />

fission yields <strong>for</strong> o<strong>the</strong>r fissioning nuclides. Mass<br />

distribution data from only one experiment (Zöller<br />

[5.4] over <strong>the</strong> energy range from 2 to 200 MeV)<br />

were used, adjusted <strong>for</strong> mass resolution and fitted<br />

with five (or three at higher energies) Gaussian<br />

functions. Gaussian parameters and <strong>the</strong>ir energy<br />

dependence were obtained from a non-linear least<br />

squares fit over <strong>the</strong> whole energy range, and uncertainties<br />

and correlations in <strong>the</strong> systematics were also<br />

studied. Liu adjusted <strong>for</strong> mass resolution, and

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