# Particle: Lecture 2

Content from the second lecture of a 3rd year particle course
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Quiz by JonnorVanGriving
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Last updated: April 21, 2019
 First submitted April 19, 2019 Times taken 9 Average score 100.0% Report this quiz Report
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 Hint Answer What is the relationship for the probability of a process to occur with its constant at the vertex in question? The probability is proportional to the constant squared Give an example for a plane wave of a fermion (in terms of q, r and h bar) e^(i(q.r)/h bar) What does q represent in the above equation? The momentum transferred to the fermion In layman's terms describe what a Born-approximation shows How much of the particle’s wave function overlaps with the potential What is needed to calculate the interaction probability? The potential How do we obtain the potential? Klein-Gordon equation What is the mass of a photon? Zero What is g in a calculation for the potential of a weak interaction? Generic coupling constant Finish Noether's first theorem: Every differentiable ________ of the ______ __ _ ________ ______ has a corresponding ____________ ___. symmetry, action of a physical system and conservation law Define the spin of a particle A particle’s angular momentum in its own rest frame. What are the smallest and largest values of total angular momentum (in terms of L and S)? |L-S| and L+S Express J^2 in terms of J and h bar J(J+1)(h bar)^2 Express J_z in terms of M and h bar M(h bar) True or false: Fermions and antifermions have opposite intrinsic parities? True Express C-parities in terms of L and S for a fermion-antifermion pair (-1)^(L+S) Express P-parities in terms of L and intrinsic P-parities (-1)^(L)*(P intrinsic) Finish the sentence: CP violation causes a ______-__________ _________. matter, antimatter and asymmetry List all internal quantum numbers Charge, Baryon number and Lepton number True or false: All these internal quantum numbers are always conserved? True Define the baryon number in terms of number of quarks and antiquarks, defined as q and p respectively 1/3 * (q-p) True or false: The lepton number for leptons and antileptons is the same? False What is the magnitude of a boson's spin (generally) ? An integer What is the magnitude of a lepton's spin (generally)? A half-integer True or false: Bosons have even wave functions and leptons have odd wave functions? True If we are in a frame S we are travelling in the x-direction at relativistic speeds what is our distance travelled in the S' frame? Give your answer in terms of a generic x, gamma, v and t (gamma)(x-vt) What is the time in this S' frame? Give your answer in terms of a generic x, gamma, v, c and t (gamma)(t-(x*v)/(c^2)) Give the definition of the invariant mass sqrt((E^2-p^2*c^2)/c^4) Finish this sentence: The ____ __ the ________ particle is equal to the _________ ____ of the decay products. mass of, decaying and invariant mass
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