57-La-138

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 69.46 (b) 71.16 (b) 1.024 5.055 (b) 6.192 (b)
elastic 12.38 (b) 13.95 (b) 1.127 2.914 (b) 4.861 (b)
inelastic ( E-thr = 73.13 keV ) 319.4 (mb) 1.290 (b)
(n,2n) ( E-thr = 7.525 MeV ) 1.810 (b) 4.289 (mb)
(n,3n) ( E-thr = 16.76 MeV ) 344.4 (nb)
(n,na) ( E-thr = 2.052 MeV ) 105.8 (μb) 33.33 (nb)
(n,np) ( E-thr = 6.129 MeV ) 1.939 (mb) 397.2 (nb)
(n,nd) ( E-thr = 10.76 MeV ) 136.3e-15 (b) 10.89 (nb)
(n,nt) ( E-thr = 13.70 MeV ) 0.000 (b) 10.61e-12 (b)
capture 57.08 (b) 57.21 (b) 1.002 364.7 (b) 1.001 (mb) 33.46 (mb)
(n,p) 0.000 (b) 0.000 (b) 221.0 (μb) 4.708 (mb) 21.86 (μb)
(n,d) ( E-thr = 3.802 MeV ) 2.569 (mb) 537.0 (nb)
(n,t) ( E-thr = 4.525 MeV ) 148.9 (μb) 53.77 (nb)
(n,He-3) ( E-thr = 7.073 MeV ) 12.05e-12 (b) 31.55e-12 (b)
(n,a) 0.000 (b) 0.000 (b) 60.69 (μb) 2.003 (mb) 4.341 (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)
 .