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

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FIG. 4.5.10. <strong>Fission</strong> fragment charge distributions Y(Z F )<br />

<strong>for</strong> nuclei 229, 230, 231, 232 Pa from Refs [4.5.30, 4.5.31].<br />

<strong>the</strong> valley, as also observed in <strong>the</strong> Y(Z F) distributions<br />

<strong>for</strong> Np and Am isotopes (Fig. 4.5.9).<br />

It can be seen that <strong>the</strong> main features <strong>of</strong> <strong>the</strong><br />

UCD charge distributions in Fig. 4.5.9 and <strong>the</strong><br />

measured fragment charge yields presented in Fig.<br />

4.5.10 (such as coincidence <strong>of</strong> <strong>the</strong> curves <strong>for</strong><br />

different isotopes at <strong>the</strong> sides <strong>of</strong> peaks) look similar.<br />

This result supports <strong>the</strong> validity <strong>of</strong> <strong>the</strong> approximations<br />

used (non-emissive fission and UCD). The<br />

decomposition <strong>of</strong> <strong>the</strong> experimental fragment charge<br />

yields into symmetric and asymmetric fission<br />

components [4.5.30, 4.5.31] showed that <strong>the</strong><br />

positions <strong>of</strong> <strong>the</strong> heavy fragment (asymmetric) peaks<br />

stay constant (Z FH ≈ 54) not only <strong>for</strong> all Pa isotopes,<br />

but also <strong>for</strong> <strong>the</strong> isotopes <strong>of</strong> U and Th, and more or<br />

less <strong>for</strong> all actinides with predominantly asymmetric<br />

fission.<br />

Features <strong>of</strong> <strong>the</strong> shapes <strong>of</strong> <strong>the</strong> asymmetric<br />

fission yields are presented in detail in Figs 4.5.11<br />

and 4.5.12, where <strong>the</strong> symmetric mode yields are<br />

subtracted and <strong>the</strong> asymmetric fission yields Y a (Z F )<br />

and Y a (N F ) at E p = 10.3 and 22.0 MeV are displayed<br />

in linear and logarithmic scales. Clearly, <strong>the</strong> Y a(Z F)<br />

curves <strong>for</strong> all <strong>the</strong> nuclides studied coincide <strong>for</strong> both<br />

light fragments (Z F ≈ 30) close to <strong>the</strong> magic number<br />

N = 28 and <strong>for</strong> heavy fragments with Z F ≈ 50 (see<br />

arrows). The mass distributions <strong>for</strong> <strong>the</strong> actinide<br />

nuclei are concentrated between fragments with Z FL<br />

≈ 28 and Z FH ≈ 50, and <strong>the</strong>re<strong>for</strong>e <strong>the</strong> widths <strong>of</strong> <strong>the</strong>se<br />

distributions are mainly defined by ΔZ ~ Z CN – 50 –<br />

28, and are almost independent <strong>of</strong> N CN . Recently, a<br />

similar global grouping effect in fission fragment<br />

yields was revealed in Refs [4.5.32, 4.5.33] <strong>for</strong> Y(M)<br />

in <strong>the</strong> <strong>the</strong>rmal neutron induced fission <strong>of</strong> actinides.<br />

This effect was interpreted as evidence that spherical<br />

closed shells in asymmetric fission fragment<br />

<strong>for</strong>mation determine <strong>the</strong> position and slopes <strong>of</strong> <strong>the</strong><br />

peaks in <strong>the</strong> fragment mass distributions.<br />

Figures 4.5.11 and 4.5.12 show even more<br />

clearly <strong>the</strong> coincidence <strong>of</strong> <strong>the</strong> Y a (Z F ) curves from<br />

<strong>the</strong> fission <strong>of</strong> isotopes <strong>of</strong> <strong>the</strong> same element (Np and<br />

Am), whereas <strong>the</strong> Y a(N F) curves do not exhibit any<br />

visible coincidence, not even in <strong>the</strong> vicinity <strong>of</strong> <strong>the</strong><br />

magic neutron numbers 50 and 82 that are marked<br />

by arrows.<br />

The different effects <strong>of</strong> fragment proton and<br />

neutron numbers on <strong>the</strong> shapes <strong>of</strong> Y a (Z F ) and<br />

Y a(N F) are shown in more detail in Fig. 4.5.13,<br />

where <strong>the</strong> distributions are presented <strong>for</strong> <strong>the</strong> fission<br />

<strong>of</strong> 237,239 Np and 239,241 Am at E p = 10.3 MeV. This set<br />

<strong>of</strong> compound nuclei consists <strong>of</strong> two isotopic (Z CN =<br />

93, 95) and two isotonic (N CN = 144, 146) pairs.<br />

Whereas <strong>the</strong> charge yields within both isotopic pairs<br />

coincide practically over <strong>the</strong> whole range <strong>of</strong><br />

fragment proton numbers, <strong>the</strong> curves Y a (N F ) <strong>for</strong><br />

both <strong>the</strong>se isotonic pairs coincide only in a narrow<br />

range in <strong>the</strong> vicinities <strong>of</strong> neutron numbers 52 and 82.<br />

For o<strong>the</strong>r ranges <strong>of</strong> fragment neutron numbers, <strong>the</strong><br />

difference <strong>of</strong> <strong>the</strong> yields is also ra<strong>the</strong>r significant in<br />

<strong>the</strong> vicinity <strong>of</strong> N = 88 (arrows). As mentioned<br />

above, <strong>the</strong> de<strong>for</strong>med neutron shell 88 is normally<br />

used to explain <strong>the</strong> properties <strong>of</strong> S2 as <strong>the</strong><br />

predominant asymmetric fission mode. Under <strong>the</strong>se<br />

circumstances, some stabilizing influence <strong>of</strong> this<br />

shell on <strong>the</strong> positions and/or shapes <strong>of</strong> <strong>the</strong> heavy<br />

fragment asymmetric distributions would be<br />

observed, at least <strong>for</strong> nuclei with equal N CN . Instead,<br />

very strong stabilizing effects can be detected in<br />

Y a(Z F) <strong>for</strong> nuclei with equal Z CN.<br />

4.5.5. Systematics <strong>of</strong> fragment mass yields<br />

Studies <strong>of</strong> <strong>the</strong> asymmetric fission modes<br />

have shown that <strong>the</strong> unchanged charge density<br />

distributions <strong>for</strong> asymmetric fission Y a (Z F ) =<br />

SY i(Z F) (i = S1, S2, S3) practically coincide <strong>for</strong> all<br />

isotopes <strong>of</strong> one element. There<strong>for</strong>e, <strong>the</strong> relative<br />

201

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