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JAERI 1287 JNDC Nuclear Data Library of Fission Products Fir

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<strong>JAERI</strong><strong>1287</strong> 2. <strong>Nuclear</strong> <strong>Data</strong> <strong>Library</strong> <strong>of</strong> <strong>Fission</strong> <strong>Products</strong> 15<br />

well-known relation as<br />

t/(A,Z) = l. (2.4.2)<br />

Wahl et al. 43 > had proposed the Gaussian distribution <strong>of</strong> the independent yield in their phenomenological<br />

model. After that several investigations 45>46) presented evidence for the fact<br />

that the even-odd effect in proton- and neutron-pairing distorts the Gaussian distribution <strong>of</strong><br />

the yield. So we modify independent yield distribution as follows. Let FX(A, Z) be a correction<br />

factor for the even-odd effect and letY(A)be the mass yield before delayed-neutron<br />

emission. Then the yield Y(A, Z) is given by<br />

Y(A, Z)=N(A>FX{A, Z)-f(A, Z), (2.4.3a)<br />

, Z) = NVD-I, FXU, Z)f{A, Z), (2.4.3b)<br />

z z<br />

where N(A) is a normalization constant such that the sum <strong>of</strong> yields is 200% per fission. The<br />

F(A, Z) 's are expressed in the following form 41 ' 47 *.<br />

Fx(A,Z) = l + {p+n) foreven/1 - even Z<br />

= l + {p-n) for odd A - even Z<br />

= l-O-«) forodd A -odd Z<br />

= 1 —(/?+«) for even A -odd Z<br />

where p is proton-pairing term and n is neutron-pairing term.<br />

Experimental data are not enough, but indicate that the magnitudes <strong>of</strong> p and n depend<br />

on fissile and incident energy <strong>of</strong> neutron. These values were estimated with the simple empirical<br />

equation proposed by Madland and England 47 ). The results are tabulated in Table 2.4.2.<br />

The Gaussian width parameter a is taken to be 0.56 ± 0.06 44 ) irrespective <strong>of</strong> mass number,<br />

fissile nuclide and neutron energy.<br />

The most probable charge ZP(A) has been estimated by several investigators. Rider and<br />

Meek adopted the values by Wahl et al. 44 ^ and Nethaway 48 ) and added another correction term<br />

for ternary fission, which was estimated by Madland and Stewart 49 *. TheZ^C/Uis expressed<br />

as the sum <strong>of</strong> standard value for thermal-neutron fission <strong>of</strong> 235 U and the small correction terms<br />

Table 2.4.2 Parameters <strong>of</strong> pairing effects on the distribution<br />

<strong>of</strong> independent yield in neutron-induced<br />

fission (taken from the report by Rider and<br />

Meek 41 ))<br />

Fissile<br />

23su(T)a<br />

235 U (F) b<br />

235 U (H) c<br />

238 U(F)<br />

238U(H)<br />

239<br />

Pu(T)<br />

239<br />

Pu (F)<br />

241<br />

Pu(T)<br />

233<br />

U (T)<br />

232<br />

Th (F)<br />

Proton effects (p)<br />

0.228<br />

0.151<br />

0.015<br />

0.329<br />

0.018<br />

0.171<br />

0.124<br />

0.206<br />

0.210<br />

0.327<br />

a thermal neutrons.<br />

b fission spectrum neutrons.<br />

c 14-MeV neutrons.<br />

Neutron effects (n)<br />

0.044<br />

0.029<br />

0.003<br />

0.063<br />

0.003<br />

0.033<br />

0.024<br />

0.040<br />

0.041<br />

0.063

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