There is an unstable particle called the “sigma-minus” (Σ −), which can decay into a neutron and a negative pion (π−): Σ −
→ n + π−. The mass of the Σ − is 1196 MeV/c2, the mass of the neutron is 939 MeV/c2, and the mass of the π− is 140
MeV/c2. Write equations that could be used to calculate the momentum and energy of the neutron and the pion. You do not
need to solve the equations, which would involve some messy algebra. However, be clear in showing that you have enough
equations that you could in principle solve for the unknown quantities in your equations.
It is advantageous to write the equations not in terms of v but rather in terms of E and p; remember that E2 − (pc)2 =
(mc2)
2.
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