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## Main Question or Discussion Point

a relaticistic particle collide with another rest particle. what is the maximum energy transmitted to the particle after collision?

- Thread starter ghadir-jafari
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a relaticistic particle collide with another rest particle. what is the maximum energy transmitted to the particle after collision?

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Regards,

Bill

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100%

thats what happens when a photon is Absorbed

thats what happens when a photon is Absorbed

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How does that relate to relativistic particles that are not photons?100%

thats what happens when a photon is Absorbed

Regards,

Bill

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I think the OP was fairly clear with respect to that.

Regards,

Bill

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to the other particle.

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Meir Achuz

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The max energy to the target is when the projectile goes straight back in the cm system.

First you have to find the cm momentum P and energy E of the target particle.

Then change its momentum direction to go forward and LT P and E back to the lab system.

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please give me a mathematic result.

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Meir Achuz

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[tex]E_L+M=\sqrt{p^2+m^2}+\sqrt{(p+p_L)^2+M^2}[/tex], where[tex]E_L[/tex] and

[tex]p_L[/tex] are the incident energy and momentum.

It is not easy to solve for p, but that is what one of us must do.

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Meir Achuz

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The spring is irrelevant.

You seem to be describing my first suggestion to go to the cm system where the momenta (not the velocities) are equal in magnitude. Either method I proposed has some complicated algebra. But we all learned algebra in high school.