58-Ce-144

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 3.794 (b) 4.154 (b) 1.095 4.961 (b) 6.309 (b)
elastic 2.792 (b) 3.150 (b) 1.128 2.756 (b) 4.462 (b)
inelastic ( E-thr = 400.2 keV ) 305.3 (mb) 1.831 (b)
(n,2n) ( E-thr = 6.945 MeV ) 1.753 (b) 10.96 (mb)
(n,3n) ( E-thr = 12.13 MeV ) 146.0 (mb) 30.98 (μb)
(n,na) 0.000 (b) 0.000 (b) 221.9 (nb) 381.5 (μb) 117.5 (nb)
(n,np) ( E-thr = 9.606 MeV ) 5.140 (μb) 20.70 (nb)
(n,nd) ( E-thr = 13.63 MeV ) 0.000 (b) 44.13e-12 (b)
capture 1.000 (b) 1.001 (b) 1.001 7.632 (b) 789.0 (μb) 5.183 (mb)
(n,p) ( E-thr = 4.796 MeV ) 2.091 (mb) 509.2 (nb)
(n,d) ( E-thr = 7.366 MeV ) 143.6 (μb) 116.0 (nb)
(n,t) ( E-thr = 7.332 MeV ) 79.79 (μb) 42.88 (nb)
(n,He-3) ( E-thr = 9.540 MeV ) 0.000 (b) 224.0e-18 (b)
(n,a) 0.000 (b) 0.000 (b) 10.87 (μb) 1.439 (mb) 972.4 (nb)
MT = 203 ( E-thr = 4.796 MeV ) 2.096 (mb) 529.9 (nb)
MT = 204 ( E-thr = 7.366 MeV ) 143.6 (μb) 116.0 (nb)
MT = 205 ( E-thr = 7.332 MeV ) 79.79 (μb) 42.88 (nb)
MT = 206 ( E-thr = 9.540 MeV ) 0.000 (b) 224.0e-18 (b)
MT = 207 0.000 (b) 0.000 (b) 11.09 (μb) 1.821 (mb) 1.090 (μb)

These cross sections are calculated from JENDL-4.0 at 300K.
The background color of each cell noted a cross section means the order of the cross-section value.
The unit of cross section, (b), means barns, and SI prefixes are used as following.
(kb) → 103(b),   (mb) → 10−3(b),  (μb) → 10−6(b),  (nb) → 10−9(b).

Maxwellian Average :
σmacs(T) =
2
 
 
π
EU
 
EL
σ(E,T) ⋅ E ⋅ exp (
E
  
kBT
) dE
 
EU
 
EL
E ⋅ exp (
E
  
kBT
) dE
,
where T denotes the temperature, and kB the Boltzmann constant. The upper and lower limits of integration, EL and EU are set to 10−5 eV and 10 eV, respectively.
Resonance Integral :
σri(T) =
EU
 
EL
σ(E,T) ⋅
1
 
E
dE ,
with  EL = 0.5 eV  and  EU = 10 MeV.
U-235 Thermal Fission-Neutron Spectrum Average (Fiss. Spec. Average) :
σfacs(T) =
EU
 
EL
σ(E,T) ⋅
 
4
 
πa3b
⋅ exp (
ab E
     
4 a
) ⋅ sinh
 
bE
dE
 
EU
 
EL
 
4
 
πa3b
⋅ exp (
ab E
     
4 a
) ⋅ sinh
 
bE
dE
,
with  EL = 10−5 eV  and  EU = 20 MeV. The parameters a and b are 0.988 MeV and 2.249 MeV−1, respectively.
Westcott g-factor :
g(T) =
σmacs(T)
 
σ(0.0253 eV,T)
 .