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Homework Statement
The sigma Baryon Σ0 is at rest and decays to form an Λ0 and a ɣ photon.
Homework Equations
Mass of Σ0 is 1193 MeV/c^2
Mass of Λ0 is 1116 MeV/C^2
The Attempt at a Solution
K obviously since the Σ0 is at rest, momentum must be conserved and the Λ0 and ɣ go in completely opposite directions to each other.
Since the Σ0 weighs more than the Λ0, I can assume it's rest mass go towards the rest mass of the Λ0 and provides kinetic energy for the Λ0.. Also giving energy out as the ɣ.
But the ɣ has no mass. So it's energy is it's momentum. But I've forgotten how to account for that. What equations do I use to found out how much energy the photon has.
The only thing I have going is that 77MeV/c^2 is shared between the kinetic energy of the Λ0 and the total energy of the ɣ photon, but I don't know how to work out HOW MUCH is shared between them.
Please help lol.