Neutron Time of Flight Jacobian

[James_1978]

Dear Forum,

I have been given a DT fusion spectrum where neutrons are produced in the following reactions,

DT = 14.1 MeV
DD = 2.45 MeV
TT = 0-9.8 MeV (three body spectrum)

The spectrum is given in the form dN/dE. I have converted this spectrum into the dE/dE by multipling the spectrum over the energy spectrum. I then convert the spectrum into time by just converting the Energy into time. This gives me a spectrum of dE/dt. However, I feel that this might be inaccurate.

My question is do I need a Jacobian when I convert this..such as

$$\frac{dE}{dt} = \frac{dE}{dn}\frac{dn}{dt}$$

I am not very familiar with what a Jacobian will do to the spectrum. I appreaciate the help...Chad

 

[mfb]

The first two should be essentially mono-energetic, no need to consider a spectrum unless you are sensitive to the motion of the initial particles.

dE/dE=1?

$$\frac{dE}{dt} = \frac{dE}{dn}\frac{dn}{dt}$$

A similar approach should work to convert dN/dE to dN/dt.