What is the threshold energy for gamma+e→3e and gamma→e⁺e⁻ reactions?

In summary, The threshold energy problem is the minimum amount of energy required for a chemical reaction or physical process to take place. It is important because it helps us understand and predict the rate of reactions and other processes. The problem is determined by calculating the difference in energy between reactants and products, and can be lowered by using a catalyst. Real-world examples include combustion in car engines, digestion, and industrial processes.
  • #1
Starwanderer1
18
0
Can someone help me out with this problem(not homework ofcourse)..

Find the threshold energy of gamma quantum required to form
- an electron-positron pair in the field of a stationary electron;
- a pair of pions of opposite signs in the field of a stationary proton..

Thank you for reading
 
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  • #2
Use [tex]E^2-P^2=W^2[/tex], where W= total cm energy.
For gamma+e-->3e, this becomes [tex](k+m)^2-k^2=(3m)^2.[/tex]
 

Related to What is the threshold energy for gamma+e→3e and gamma→e⁺e⁻ reactions?

1. What is the threshold energy problem?

The threshold energy problem, also known as the activation energy problem, is a concept in chemistry and physics that refers to the minimum amount of energy required for a chemical reaction or physical process to take place. It is the energy barrier that must be overcome in order for the reaction to occur.

2. Why is the threshold energy problem important?

The threshold energy problem is important because it helps us understand and predict the rate of chemical reactions and other physical processes. It also explains why some reactions occur spontaneously while others require external energy input to take place.

3. How is the threshold energy problem determined?

The threshold energy problem is determined by calculating the difference in energy between the reactants and the products in a chemical reaction. This energy difference is called the free energy of reaction, and it must be equal to or greater than the activation energy for the reaction to proceed.

4. Can the threshold energy problem be lowered?

Yes, the threshold energy problem can be lowered by using a catalyst. A catalyst is a substance that can lower the activation energy of a reaction, making it easier for the reaction to occur. This allows reactions to happen at a faster rate and with less energy input.

5. What are some real-world examples of the threshold energy problem?

The threshold energy problem can be seen in many everyday processes, such as the combustion of fuel in a car engine, the digestion of food in our bodies, and the rusting of metal. It is also a crucial factor in industrial processes, such as the production of fertilizer and the refining of petroleum.

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