Need help asap with physics questions

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+ ** T 404 v c) The lightest mesons are made up of a quark and an antiquark (q and ) pair with masses m, and m and spins 3 and 3 in a state of no orbital angular momentum. Their mass is given by: (3.3) m m M(qq) = m + m + Aml {4} Determine the eigenvalue of $.3 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 m = m = m. {8} d) The masses of the up and down quarks are m = m = 310 MeV/c and Am = 160 (2m/h) MeV/c. Determine the mass of the following -mesons: n (du); n((uu - d)); * (ud). {3} M = m + m + m + Ap e) The masses of the lightest baryons of spin 3/2 (and != 0) can be estimated using the formula: $3.31) (3.3 $2.33+ m3 m) + m m M M3 where m, m, m, and S, S, 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}