Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 15, Problem 1P
To determine

The time required for the strong interaction to occur.

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You are working as an assistant for a physics professor. For an upcoming lecture, your professor asks you to prepare a presentation slide with the following two proposed reactions which might proceed via the strong interaction:(i) π- + p → K0 +Λ0(ii) π- + p → K0 + nOn the slide, the professor wishes for you to show the quark analysis of the reactions, and (a) identify which reaction is observed, and (b) explain why the other is not observed.
The strong interaction must interact within the time it takes a high-energy nucleon to cross the nucleus. Use an appropriate speed and distance to estimate the time for the strong interaction to occur.
You have entered a graduate program in particle physics and are learning about the use of symmetry. You begin by repeating the analysis that led to the prediction of the Ω- particle. Nine of the spin- 3/2 baryons are four ∆ particles, each with mass 1232 MeV/c2 , strangeness 0, and charges +2e, +e, 0, and -e; three Σ* particles, each with mass 1385 Me/c2 , strangeness -1, and charges +e, 0, and -e; and two Ξ* particles, each with mass 1530 MeV/c2 , strangeness -2, and charges 0 and -e. (a) Place these particles on a plot of S versus Q. Deduce the Q and S values of the tenth spin- 3/2 baryon, the Ω- particle, and place it on your diagram. Also label the particles with their masses. The mass of the Ω- is 1672 MeV/c2 ; is this value consistent with your diagram? (b) Deduce the three-quark combinations (of u, d, and s) that make up each of these ten particles. Redraw the plot of S versus Q from part (a) with each particle labeled by its quark content. What regularities do you see?
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