hw8_Solutions - Physics 226 Assignment#8 Solutions 1(20 pts...

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Physics 226 Assignment #8 Solutions May 27, 2015 1. (20 pts) Potentially conserved quantities to consider are energy & momentum ( P μ ), angular momentum ( ~ J ), electric charge ( Q ), baryon ( B ) and lepton ( L ) numbers (as well type specific lepton numbers, L e , L μ ), strangeness ( S ), ispsoin ( ~ I ) and isospin projection ( I 3 ). “Violates nothing” means that is is possible for the indicated reaction to violate none of these quantities. This may require specific values of orbital angular momentum, or just some of the possible values which result from adding spins or isospins. (a) Ω - Ξ 0 + π - Violates S , ~ I , I 3 . Weak decay (b) Λ 0 ¯ n + γ Violates B , S , ~ I , I 3 . Impossible (c) Σ 0 π + + π - Violates ~ J , B , S . Impossible (d) ρ 0 π + + π - Violates nothing. Strong (e) K + + p K + + Σ + + K 0 Violates nothing. Strong (f) p + n π - + π 0 Violates B , Q , ~ I , I 3 . Impossible (g) ¯ p + n π - + π 0 Violates nothing. Strong interaction (h) ¯ n + p μ + + ν μ Violates ~ I , I 3 . Weak interaction 2. (8 pts) In the lab frame, a projectile of momentum | ~ p | has de Broglie wavelength λ = h/ | ~ p | .
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