What Is the Minimum Energy Required for e + p -> Neutrino + Neutron?

AI Thread Summary
The discussion revolves around calculating the minimum energy required for the reaction e + p -> neutrino + neutron, with specific assumptions about the kinetic energy of the proton and the electron. The user is uncertain about applying energy and momentum conservation principles due to a lack of information on the kinetic energies involved. A suggestion is made to consider the initial kinetic energy needed for the electron to overcome the proton's electric force, likening it to an escape velocity problem. The user acknowledges the introductory nature of the physics section, indicating that a simpler solution may exist. The conversation emphasizes the importance of understanding fundamental concepts in energy and momentum conservation for solving the problem.
shahar weiss
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Homework Statement



Im being asked what is the minimum energy requiered for the process
e + p -> nutrino + nutron
assumptions are: 1. Kinetic energy of proton is much lower from his rest
mass, not true for the electron.
2. border line case is when nutrino energy is close to zero.



Homework Equations


energy and momentum conservation, pc = sqrt(E^2 - m0^2*c^4) ?


The Attempt at a Solution



i should use energy and momentum conservation but i have no idea how to
do that since i don't know what are the kinetic energies of the
proton and electron.
thank you for any help avaiable
 
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You could attempt to figure out the minimum initial kinetic energy needed for the electron to overcome the repulsive force of the proton...think of it as an electric version of the escape velocity question in gravitation.

Edit: I just noticed this is in the introductory physics section...so there is probably a simpler solution to this problem...I'll give it a little more thought.
 
since they are opposite in charge there would be a pulling force and not repulsive
 
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