JC-29) Range of the Nuclear Force We can make an estimate of the range of the nuclear force by considering the following process. A proton or neutron can sometimes “violate" conservation of energy by emitting and then reabsorbing a pi meson (T), which has a mass of 135 MeV/c². This is possible as long as the pi meson is reabsorbed within a short enough time At consistent with the uncertainty principle. Consider p -->p+t. By what amount AE is energy conservation a) violated? (Ignore any kinetic energies.) For how long a time At can the pi meson exist? b) c) Assuming the pi meson travels at very near the speed of light, how far from the proton can it go?
JC-29) Range of the Nuclear Force We can make an estimate of the range of the nuclear force by considering the following process. A proton or neutron can sometimes “violate" conservation of energy by emitting and then reabsorbing a pi meson (T), which has a mass of 135 MeV/c². This is possible as long as the pi meson is reabsorbed within a short enough time At consistent with the uncertainty principle. Consider p -->p+t. By what amount AE is energy conservation a) violated? (Ignore any kinetic energies.) For how long a time At can the pi meson exist? b) c) Assuming the pi meson travels at very near the speed of light, how far from the proton can it go?
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Transcribed Image Text:JC-29) Range of the Nuclear Force
We can make an estimate of the range of the nuclear force by considering the following process.
A proton or neutron can sometimes “violate" conservation of energy by emitting and then
reabsorbing a pi meson (T), which has a mass of 135 MeV/c2. This is possible as long as the pi
meson is reabsorbed within a short enough time At consistent with the uncertainty principle.
Consider p
+it. By what amount AE is energy conservation
а)
violated? (Ignore any kinetic energies.)
-->
p
b)
c) Assuming the pi meson travels at very near the speed of light, how far
from the proton can it go?
For how long a time At can the pi meson exist?
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