HW 6 problems/solutions

# HW 6 problems/solutions - file/C|/Documents and...

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phy557_hw06 PHY557 Homework Set 6 Reading: Lecture Notes Homework: Due date: Wednesday Oct 19 Hints and Solutions Problem VI.1 Show that Maxwell's equations are invariant under time reversal. Hints: no hints Solution: Similar to Sect.3.4.1. of the notes Problem VI.2 Assume that you are in contact with a physicist on another galaxy. The contact is restricted to exchange of information. Can you find out if the other physicist is built from matter or antimatter? Discuss the following three possibilities: 1. C , P , and T are conserved in all interactions. 2. In the weak interaction C and P are violated but the combination CP is conserved. 3. C , P , and CP are violated in the weak interaction as discussed in the lecture notes. Hints: no hints Solution: 1. no distinction is possible; you'll have to wait to shake hands and see what happens. .. 2. if CP is conserved: as in 1. 3. if CP is not conserved: then particles and antiparticles can be distinguished by their (slightly) different decay rates.

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Unformatted text preview: .. file:///C|/Documents%20and%20Settings/Michael/My%20. ..ourses/PHY557/PHY557_F05/PHY557_HW06_solutions.html (1 of 2)11/3/2005 7:16:12 AM phy557_hw06 Problem VI.3 The decay of the η-meson is useful for testing C-invariance. Which of the following decays are allowed and which are forbidden by C-invariance? Give arguments! 1. η→γγ 2. η→π γ 3. η→π π π 4. η→γγγ 5. η→π + π-π Hints: no hints Solution: 1. allowed. C ( η )=+1; C ( γγ )=(-1) 2 =+1 (experiment: 39%) 2. not allowed. C ( η )=+1; C ( π γ ) = ( + 1)(-1)= -1 3. allowed. C ( η )=+1; C ( π π π ) = ( + 1) 3 = + 1 (experiment: 33%) 4. not allowed. C ( η )=+1; C ( γγγ ) = (-1) 3 = -1 (experiment: <10-4 ) 5. allowed. C ( η )=+1; C ( π + π-π )=( π-π + π ) (experiment: 28%) file:///C|/Documents%20and%20Settings/Michael/My%20. ..ourses/PHY557/PHY557_F05/PHY557_HW06_solutions.html (2 of 2)11/3/2005 7:16:12 AM...
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## This note was uploaded on 02/22/2009 for the course PHYSICS 557 taught by Professor Michaelrijssenbeek during the Fall '05 term at SUNY Stony Brook.

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HW 6 problems/solutions - file/C|/Documents and...

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