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Course: PHYS 365, Fall 2009
School: CSB-SJU
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Word Count: 284

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365 Homework Physics # 2 31 October 2008 2.1 For weak interactions Q, B, Le , L , and L are conserved: (a) Q B L (b) Q B Le (c) Q B Le (d) Q B L 0 0 1 e 0 0 1 0 1 0 K+ 1 0 0 + p 1 1 0 p 1 1 0 + 1 0 0 0 0 0 0 + 1 0 1 e- 1 0 1 e- 1 0 1 + 1 0 1 + n 0 1 0 + 1 0 0 e 0 0 1 0 0 1 ok ok violated + p 1 1 0 ok ok ok + + + + ok violated ok ok ok ok + + 2.2 Classify as strong, weak, or electromagnetic...

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365 Homework Physics # 2 31 October 2008 2.1 For weak interactions Q, B, Le , L , and L are conserved: (a) Q B L (b) Q B Le (c) Q B Le (d) Q B L 0 0 1 e 0 0 1 0 1 0 K+ 1 0 0 + p 1 1 0 p 1 1 0 + 1 0 0 0 0 0 0 + 1 0 1 e- 1 0 1 e- 1 0 1 + 1 0 1 + n 0 1 0 + 1 0 0 e 0 0 1 0 0 1 ok ok violated + p 1 1 0 ok ok ok + + + + ok violated ok ok ok ok + + 2.2 Classify as strong, weak, or electromagnetic interactions by looking at selection rules. Neutrinos only interact weakly, photons only interact electromagnetically, and strong interactions only involve hadrons and conserve all quark numbers. (1) - + p - + + + n (2) + p + + n (3) + n - + p All hadrons; quark numbers conserved strong interaction Photon involved electromagnetic interaction Neutrino involved weak interaction (4) 0 e+ + e- + e+ + e- Leptons involved not strong. Could be weak or electromagnetic, but the electromagnetic interaction is stronger electromagnetic interaction (5) p + p + + - + 0 (6) - - + All hadrons; quark numbers conserved interaction Neutrino strong involved weak interaction All hadrons; S and C conservation violated weak interaction Neutrino involved weak interaction All hadrons; quark numbers conserved strong interaction (7) D- K+ + - + - (8) - 0 + e- + e (9) + p K- + p + p 1 ~ 2.3 Find B, S, C, B, and quark contents for X0 (1193) and Y- (1321). B S C ~ B quarks K- 0 1 0 0 s u + p 1 0 0 0 uud 0 0 0 0 0 (uu-dd) 2 + X0 1 1 0 0 uds X0 + K- 0 1 0 0 s u is electromagnetic so + p 1 0 0 0 uud K+ 0 1 0 0 u s 10-16 - 10-21 s. + Y- 1 2 0 0 dss 10-7 - 10-13 s. B S C ~ B quarks Y- + - 2.4 is weak (S not ...

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