Chapter 11: Problem 7
Why might the detection of particle interaction that violates an established particle conservation law be considered a good thing for a scientist?
Chapter 11: Problem 7
Why might the detection of particle interaction that violates an established particle conservation law be considered a good thing for a scientist?
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Get started for free(a) A particle and its antiparticle are at rest relative to an observer and annihilate (completely destroying both masses), creating two \(\gamma\) rays of equal energy. What is the characteristic \(\gamma\) -ray energy you would look for if searching for evidence of proton-antiproton annihilation? (The fact that such radiation is rarely observed is evidence that there is very little antimatter in the universe.) (b) How does this compare with the 0.511 -MeV energy associated with electron-positron annihilation?
(a) What is the approximate force of gravity on a 70-kg person due to the Andromeda Galaxy, assuming its total mass is \(10^{13}\) that of our Sun and acts like a single mass 0.613 Mpc away? (b) What is the ratio of this force to the person's weight? Note that Andromeda is the closest large galaxy.
Show that the velocity of a star orbiting its galaxy in a circular orbit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.
Each of the following reactions is missing a single particle. Identify the missing particle for each reaction. (a) \(\mathrm{p}+\overline{\mathrm{p}} \rightarrow \mathrm{n}+?\) (b) \(\mathrm{p}+\mathrm{p} \rightarrow \mathrm{p}+\Lambda^{0}+?\) (c) \(\pi^{?}+p \rightarrow \Sigma^{-}+?\) (d) \(\mathrm{K}^{-}+\mathrm{n} \rightarrow \Lambda^{0}+?\) (e) \(\tau^{+} \rightarrow \mathrm{e}^{+}+v_{\mathrm{e}}+?\) (f) \(\bar{v}_{\mathrm{e}}+\mathrm{p} \rightarrow \mathrm{n}+?\)
What length track does a \(\pi^{+}\) traveling at \(0.100 c\) leave in a bubble chamber if it is created there and lives for \(2.60 \times 10^{-8} \mathrm{s} ?\) (Those moving faster or living longer may escape the detector before decaying.)
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