Theoretical estimate of pions mass
It can be noted that each one of the
exchange reaction violates the law of conservation of energy for a very short
time between emission and absorption of pions.
This temporary failure of energy
conservation can be used to obtain a theoretical estimate of the pions mass
According to uncertainty principle.
Where del-E is the uncertainty in the
energy measurements and del-t is the time interval between the ejection of a
pion by one nucleon and its capture by another and h is planks constant. The
range R of a nuclear force is about 1.5 Fermi if the pion travels with velocity
of light c then
This value of change in energy gives
the mass of pion exchanged between the nucleus and is very close to the mass of
pion (140MeV) determined experimentally. This proves that exchange particle
involved in exchange reaction is pi-meson as predicted by Yukawa
No comments:
Post a Comment