p45_008 - 8. From Eq. 38-49, the Lorentz factor is =1+ K 80...

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8. From Eq. 38-49, the Lorentz factor is γ =1+ K mc 2 =1+ 80 MeV 135 MeV =1 . 59 . Solving Eq. 38-8 for the speed, we ±nd γ = 1 p 1 ( v/c ) 2 = v = c r 1 1 γ 2 which yields v =0 . 778 c or v =2 . 33 × 10 8 m / s. Now, in the reference frame of the laboratory, the lifetime of the pion is not the given τ value but is “dilated.” Using Eq. 38-9, the time in the lab is
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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