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- 11. If a proton is moving at very high speed, so that its kinetic energy is much greater than its rest energy (mc²), can it then decay via p →n + n+? 2. What would an “antiatom," made up of the antiparticles to the constituents of normal atoms, consist of? What might happen if antimatter, made of such antiatoms, came in contact with our normal world of matter?Hypothetically if the 100W bulb only produced green light, and 10% of the energy consumed was used to produce green light (λ=500nm), the number of green photons produced each second is ___x1019
- 12. What is the wavelength of the photons produced in electron-positron pair annihilation?9. Which of the following reactions and decays are possible? For those forbidden, explain what laws are violated? (а) п- +р+п + п?. (b) a+ +p → n+ 7º. (c) n+ +p→p+ e+. (d) p→ e+ + ve. (e) p→n + e+ + Ve- 10. Draw the two Feynman diagrams for electron-electron scattering at the first-order. Draw three distinct second-order diagrams.7. What are the wavelengths of the two photons produced when a proton and antiproton annihilate? 8. The A° cannot decay by the following reactions. What conservation laws are violated in each of the reactions? (а) Л° - п+п-. (b) A° + p+ K¯. (c) A° + n+ + T¯.
- 2. Show that for any observable Q, one can write d 11 ( 12/10) (Q) = 1/2 ([H1, Q]) + dt Ət2. Draw a Feynman diagram for each of the following reactions, provided it is allowed. If the reaction is forbidden explain why. μ → eveVμ τ' →μνμύτ Vμе- → Veft- Vμe+ → Vel+ Vμe+ → Vef+ Vμnμp VμP →μ+n eté → VμVμ ete- →T+T- e¯e → eeThe hydrogen Balmer line Hγ has a wavelength of 434.0 nm in the laboratory. If a quasar has a redshift of z = 2, what would you measure the wavelength of this spectrum line to be? a. 868.0 nm b. 434.0 nm c. 343.0 nm d. 1302 nm e. 217.0 nm
- 3. Relativistic Correction Consider the case of Hydrogen. Show from the known terms for the fine-structure and other relativistic correc- tions, that the energies do not depend on l, and are 1 3 Enj = En |1+ %3D n 4n420) Calculate the observed wavelength of 500 nm photons coming from the surface of the Sun that is gravitationally redshifted by Sun.point