PHY 525 Nuclear and Particle Physics Answer Key for Analysis of Particle Tracks - Revised Susan Saeli September 3, 2002 Pair Production 1. The neutral particle exists, but cannot be seen because it is uncharged and only charged particles can be seen. The two spirals had to come from something conservation of mass-energy. (There is not enough information to determine that it is a ray.) Also, momentum is from left to right. 2. There is a magnetic field because the particles are traveling in a curve. There must be a large velocity since there is a small curvature. 3. The signs of the two electrons are opposite because they are moving in opposite directions. We know this from the right hand rule or conservation of charge. 4. By conservation of momentum you can deduce the path of the gamma ray. 5. The electrons were traveling slower than the gamma ray or large spiral large speed. Also, the electrons were traveling faster than the particles moving in the small spirals. 6. The path of the electrons is a spiral because the particles are continuously having collisions with the hydrogen, which slow the particle. The particle loses kinetic energy with each collision. 7. The bottom electron was produced with higher energy, because the bottom spiral is larger than the top. Pi-Meson (AKA Pion) Decay 8. The resulting path could not come from the spiral. It is not going to gain energy from the spiral. 9. Because the electron and pi meson both curve clockwise they must have the same sign. 10. We know from conservation of momentum. The muon is moving toward the left even though the initial momentum of the negative pi meson is to the right and up (kind of clockwise). Something had to move to the right. 11. The radius of curvature is smaller for the electron than the muon meaning its mass-energy is smaller. Also, decay products must be smaller than what they came from. 12. The muon must be negative because it also curves clockwise. 13. The pi meson must have a longer half-life. K-Lambda Associated Production 14. The incoming particle collided with something larger with a positive charge. The particle it collided with was stationary and, therefore, unseen. 15. The proton tracks are apparently straight even in a strong magnetic field because they are moving very quickly or have a large mass. 16. The K and the lambda particle are neutral because you cannot see them. Also, conservation of charge tells that if there was a positive and a negative coming off the charge on the original must have been zero. 17. We know they exist even though they leave no tracks because the charged particles that begin shortly after, had to come from something (a decay of the K and lambda). Conservation of momentum helps determine from where they came. 18. The proton and the pi-minus meson have equal and opposite charges because they both curve the same amount in different directions. 19. The K and lambda particles have very short lifetimes. The lambda track is longer than the K track, therefore the lambda particle has a longer lifetime than the K particle.