57-La-139

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 19.01 (b) 20.30 (b) 1.068 5.067 (b) 6.226 (b)
elastic 10.07 (b) 11.36 (b) 1.128 2.907 (b) 5.240 (b)
inelastic ( E-thr = 167.0 keV ) 349.0 (mb) 973.8 (mb)
(n,2n) ( E-thr = 8.847 MeV ) 1.800 (b) 1.591 (mb)
(n,3n) ( E-thr = 16.37 MeV ) 669.2 (nb)
(n,na) ( E-thr = 2.002 MeV ) 146.9 (μb) 44.49 (nb)
(n,np) ( E-thr = 6.297 MeV ) 2.434 (mb) 561.6 (nb)
(n,nd) ( E-thr = 12.65 MeV ) 0.000 (b) 518.5e-12 (b)
(n,nt) ( E-thr = 13.37 MeV ) 0.000 (b) 30.12e-12 (b)
capture 8.940 (b) 8.940 (b) 1.000 11.60 (b) 1.002 (mb) 7.007 (mb)
(n,p) ( E-thr = 1.535 MeV ) 4.196 (mb) 1.381 (μb)
(n,d) ( E-thr = 3.970 MeV ) 632.8 (μb) 168.5 (nb)
(n,t) ( E-thr = 6.419 MeV ) 12.58 (μb) 17.98 (nb)
(n,He-3) ( E-thr = 7.581 MeV ) 7.524e-15 (b) 3.631e-12 (b)
(n,a) 0.000 (b) 0.000 (b) 27.30 (μb) 2.116 (mb) 1.653 (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)
 .