Can we produce helium 3 from proton-deuterium fusion

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High power laser Peta Watt are available, will it enable to produce helium 3 from deuterium-proton fusion?

FYI, there many experiments show 10^9 reaction rate in p-b11 reaction.

But we can get better rate? What is the maximum theoretical reaction rate for this easier p-d reaction?

Ref. 10-15 kj per shot 70um diameter laser.
 
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If we could, we could make a power plant with it. At the moment that doesn't even work with the much easier DT reaction.

These lasers have a high peak power and a high energy per shot, but they need a few hours per shot. The amount of material fissioned per shot is tiny and the rate of these shots is tiny as well.
 
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