What is the energy needed for Deuterium-Tritium fusion to occur?

[PhyS194]

Homework Statement

How much total energy, kinetic energy and momentum is needed for Deuterium-Tritium fusion to happen when deuterium is accelerated and tritium is the target(v=0)?
Which exothermic reactions are caused by the fusion?

Homework Equations

The Attempt at a Solution

I've calculated the height of the coulomb barrier to 7.11*10^-14
Since the height of the coulomb barrier is the energy needed for the two nucleiis to get close enough to each other for the reaction to start, the kinecting energy of the moving deutron should be as large as the height of the coulomb barrier? In that case, the kinetic energy needed is also 7.11*10^-14
Using m=2.0141u = 2.0141*1.660*10^-27
Using Ekin=m*v²/2, v =6.5199*10⁶ m/s
Then the momentum can be calculated as p=m*v = 2.18*10^-20 N s
Does this appear to be correct? What about the total energy?

I tried to use Etot=sqrt((p*c^2)^2+(m*c^2)^2) but getting something in the range of 10^-3, is this correct then maybe?

best regards

 

[mfb]

Can you convert the whole kinetic energy to potential energy? What would that imply for the motion of the particles at the point of closest approach, and does that look right?

You should work with units everywhere, that helps spotting errors.