57-La-140

Reaction 0.0253-eV Maxwellian
Average
g-factor Resonance
Integral
14-MeV Fiss. Spec.
Average
total 5.866 (b) 6.280 (b) 1.071 4.916 (b) 5.751 (b)
elastic 3.154 (b) 3.558 (b) 1.128 2.860 (b) 3.976 (b)
inelastic ( E-thr = 30.18 keV ) 222.2 (mb) 1.742 (b)
(n,2n) ( E-thr = 5.198 MeV ) 1.827 (b) 28.93 (mb)
(n,3n) ( E-thr = 14.04 MeV ) 3.174 (μb)
(n,na) ( E-thr = 410.2 keV ) 163.0 (μb) 41.89 (nb)
(n,np) ( E-thr = 6.745 MeV ) 610.4 (μb) 171.5 (nb)
(n,nd) ( E-thr = 9.261 MeV ) 549.2 (nb) 2.805 (nb)
capture 2.701 (b) 2.703 (b) 1.001 20.44 (b) 894.9 (μb) 3.836 (mb)
(n,p) ( E-thr = 269.2 keV ) 5.933 (mb) 3.876 (μb)
(n,d) ( E-thr = 4.504 MeV ) 563.5 (μb) 141.5 (nb)
(n,t) ( E-thr = 2.959 MeV ) 146.6 (μb) 36.52 (nb)
(n,He-3) ( E-thr = 8.353 MeV ) 0.000 (b) 134.1e-15 (b)
(n,a) 0.000 (b) 0.000 (b) 414.8 (μb) 2.853 (mb) 49.43 (μb)
MT = 203 ( E-thr = 269.2 keV ) 6.543 (mb) 4.048 (μb)
MT = 204 ( E-thr = 4.504 MeV ) 564.0 (μb) 144.3 (nb)
MT = 205 ( E-thr = 2.959 MeV ) 146.6 (μb) 36.52 (nb)
MT = 206 ( E-thr = 8.353 MeV ) 0.000 (b) 134.1e-15 (b)
MT = 207 0.000 (b) 0.000 (b) 414.8 (μb) 3.016 (mb) 49.47 (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)
 .