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8. From Eq. 3849, the Lorentz factor is
γ
=1+
K
mc
2
=1+
80 MeV
135 MeV
=1
.
59
.
Solving Eq. 388 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. 389, 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.
 Fall '08
 SPRUNGER
 Physics

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