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

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FIG. 4.2.36. n T(A) <strong>for</strong> CF249T. FIG. 4.2.37. n T (A) <strong>for</strong> TH232F.<br />

very asymmetric mass division. As well as <strong>the</strong> peak<br />

at symmetry that results from <strong>the</strong> assumption <strong>of</strong><br />

four or more neutrons being emitted near<br />

symmetry, <strong>the</strong>re are small dips on ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong><br />

peak, as can be seen from <strong>the</strong> circles in Figs 4.2.32–<br />

4.2.37. The dips occur near A H = 130 and in <strong>the</strong><br />

complementary light product range near A = 104 <strong>for</strong><br />

U235T, and may be associated with condensed<br />

scission configurations, possibly related to <strong>the</strong><br />

proximity <strong>of</strong> Z and N <strong>of</strong> <strong>the</strong> heavy fragment to <strong>the</strong><br />

spherical Z = 50 and N = 82 shells. High fragment<br />

kinetic energies should result and have been<br />

observed [4.2.28], and <strong>the</strong>re<strong>for</strong>e excitation energies<br />

and neutron emission are small.<br />

The dips in <strong>the</strong> n T(A) function are present <strong>for</strong><br />

<strong>the</strong> fission reactions <strong>of</strong> uranium, plutonium and<br />

americium isotopes that were investigated, but are<br />

smaller or absent <strong>for</strong> <strong>the</strong> fission reactions investigated<br />

<strong>for</strong> <strong>the</strong> thorium and cali<strong>for</strong>nium isotopes. This<br />

may be due, at least in part, to <strong>the</strong> somewhat fewer<br />

experimental mass yield values <strong>for</strong> <strong>the</strong>se reactions,<br />

since dips are absent when model mass yields<br />

calculated from smooth functions are used <strong>for</strong><br />

U235T (see Fig. 4.2.38).<br />

O<strong>the</strong>r structure appears <strong>for</strong> very asymmetric<br />

mass division (see Figs 4.2.32–4.2.37), but <strong>the</strong> effects<br />

vary in position, magnitude and sign <strong>for</strong> <strong>the</strong> various<br />

fission reactions investigated, and are attributed to<br />

<strong>the</strong> method applied to low and possibly uncertain<br />

fission yield values that <strong>for</strong>m <strong>the</strong> wings <strong>of</strong> mass yield<br />

curves.<br />

4.2.4.4. Model <strong>for</strong> n T(A)<br />

n T (A) values from <strong>the</strong> Y(A) summation calculations<br />

(circles in Figs 4.2.32–4.2.37) can be approximately<br />

represented by <strong>the</strong> solid lines through <strong>the</strong><br />

FIG. 4.2.38. n T (A) <strong>for</strong> U235T, Model Y(A) values.<br />

addition <strong>of</strong> three Gaussian functions to a constant<br />

NT (Eq. (4.2.22)). The ECOR term serves to damp<br />

out <strong>the</strong> peak and dips at high energies (PE), where<br />

single particle effects are less important.<br />

n T (A) = NT + ECOR[n S (A) + n H (A) + n L (A)]<br />

–0.05 PE<br />

ECOR = e<br />

For <strong>the</strong> peak at symmetry:<br />

n ( A) = I [ e P P]<br />

/<br />

pC<br />

S P<br />

2 /<br />

( A-S ) C<br />

(4.2.22)<br />

(4.2.22a)<br />

(4.2.22b)<br />

I P = 20.0, = 0.0 <strong>for</strong> SF (4.2.22c)<br />

C P = 2.0(6.0 2 + 1/12) = 72.17 (4.2.22d)<br />

S P = (A F – n s )/2.0, n s = 4.0 or<br />

(NYT + 1.0) if >4.0 (4.2.22e)<br />

P<br />

141

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