- #1
darkmatter820
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1. A particle of mass M decays from rest into two particles. One particle has mass m and the other particle is massless. The momentum of the massless particle is...
2. Ei = Ef, Pi= Pf
3. This is a GRE practice problem. I can solve this problem using the old method as listed in the step 2, but I just learned about four momentum yesterday and it seems to be the fastest way so far to solve these kind of problems; but I'm struggling to solve this problem with this method.
My attempt: P1 =(Mc^2/c,0), P2= (mc^2/c, pm), P3 = (E/c, p*); P1 is the initial energy-momentum vector, P2 is the final energy momentum for the particle with mass m, and P3 is the vector for massless particle. I also assumed the massless particle is moving at c. Then,
P1= P2+P3,
P1°P1 = (P2+P3)°(P2+P3), p* = E, c =1.
This is as far as I can go. I might have made some mistakes somewhere, so please be specific when you response so I correct them next time. Thanks in advance! Cheers
2. Ei = Ef, Pi= Pf
3. This is a GRE practice problem. I can solve this problem using the old method as listed in the step 2, but I just learned about four momentum yesterday and it seems to be the fastest way so far to solve these kind of problems; but I'm struggling to solve this problem with this method.
My attempt: P1 =(Mc^2/c,0), P2= (mc^2/c, pm), P3 = (E/c, p*); P1 is the initial energy-momentum vector, P2 is the final energy momentum for the particle with mass m, and P3 is the vector for massless particle. I also assumed the massless particle is moving at c. Then,
P1= P2+P3,
P1°P1 = (P2+P3)°(P2+P3), p* = E, c =1.
This is as far as I can go. I might have made some mistakes somewhere, so please be specific when you response so I correct them next time. Thanks in advance! Cheers