Need help asap with physics questions 1. a) Write down the three lepton conservation laws, taking care
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1. a) Write down the three lepton conservation laws, taking care to define all the terms. {3} b) For the neutrinos in the following reactions, assign the lepton-type subscript and distinguish antiparticles from the particles: + n° + e + v He + v + v v+pu+p+ ** ÍT 404 v c) The lightest mesons are made up of a quark and an antiquark (q and ä) pair with masses m, and m₂ and spins 3₁ and 3₂ in a state of no orbital angular momentum. Their mass is given by: (3₁.3₂) m₂ m₂ M(qq) = m₂ + m₂ + Aml {4} Determine the eigenvalue of $₁.3₂ for scalar (total spin S= 0) and vector (total spin S = 1) mesons. Hence obtain an expression for the mass of a scalar meson for which m₁ = m₂ = m. {8} d) The masses of the up and down quarks are m = m = 310 MeV/c² and Am = 160 (2m/h)² MeV/c². Determine the mass of the following -mesons: n (du); n°((uu - dā)); π* (ud). {3} M = m₂ + m₂ + m₂ + Ap e) The masses of the lightest baryons of spin 3/2 (and != 0) can be estimated using the formula: $3.31) (3₁.3₂ $2.33+ m3 m₂) + m₂ m₂ M₂ M3 where m₂, m₂, m, and S₁, S₂, S3 are the masses and spins of the constituent quarks. Derive an expression for the mass of the A++ particle (uuu) in terms of A, and the mass of the up quark. {5} f) The three u quarks of the A** must be in a symmetric flavour state Pflavour |u, u,u>. How is this reconciled with the Pauli exclusion principle? {2} 1. a) Write down the three lepton conservation laws, taking care to define all the terms. {3} b) For the neutrinos in the following reactions, assign the lepton-type subscript and distinguish antiparticles from the particles: + n° + e + v He + v + v v+pu+p+ ** ÍT 404 v c) The lightest mesons are made up of a quark and an antiquark (q and ä) pair with masses m, and m₂ and spins 3₁ and 3₂ in a state of no orbital angular momentum. Their mass is given by: (3₁.3₂) m₂ m₂ M(qq) = m₂ + m₂ + Aml {4} Determine the eigenvalue of $₁.3₂ for scalar (total spin S= 0) and vector (total spin S = 1) mesons. Hence obtain an expression for the mass of a scalar meson for which m₁ = m₂ = m. {8} d) The masses of the up and down quarks are m = m = 310 MeV/c² and Am = 160 (2m/h)² MeV/c². Determine the mass of the following -mesons: n (du); n°((uu - dā)); π* (ud). {3} M = m₂ + m₂ + m₂ + Ap e) The masses of the lightest baryons of spin 3/2 (and != 0) can be estimated using the formula: $3.31) (3₁.3₂ $2.33+ m3 m₂) + m₂ m₂ M₂ M3 where m₂, m₂, m, and S₁, S₂, S3 are the masses and spins of the constituent quarks. Derive an expression for the mass of the A++ particle (uuu) in terms of A, and the mass of the up quark. {5} f) The three u quarks of the A** must be in a symmetric flavour state Pflavour |u, u,u>. How is this reconciled with the Pauli exclusion principle? {2}
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Related Book For
College Physics
ISBN: 978-0495113690
7th Edition
Authors: Raymond A. Serway, Jerry S. Faughn, Chris Vuille, Charles A. Bennett
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