Cu-65(N,G)Cu-66 Cross Sections

[jderm]

Hi
I am trying to calculate the relative abundance of Cu-66 and Cu-64 in a sample of copper after it has been exposed to a PuBe neutron source for a few days. I have cross section data for the Cu-65(N,G)Cu-66 and Cu-63(N,G)Cu-64 nuclear reactions. I also have the energy spectrum for the PuBe source. I cannot find literature that describes this process; the following is what i think i need to do. any comments and advice would be greatly appreciated.

Let P₆₆(E) represent the cross section for the Cu-65(N,G)Cu-66 reaction as a function of energy

Let P₆₄(E) represent the cross section for the Cu-63(N,G)Cu-64 reaction as a function of energy

Let I_PuBe(E) represent the neutron spectrum from the PuBe source.

If all three are normalized such that the area under the curve defined by the function is equal to one, then does it follow that P₆₆*I_PuBe represents the probability distribution for neutron capture by Cu-65?

 

[LightHero]

If so then I would guess that the relative abundance of Cu-66 and Cu-64 can be calculated by integrating P66(E)*IPuBe(E) and P64(E)*IPuBe(E) over the energy range of the PuBe source. Is this correct?