Some GUT theories allow the proton to be unstable. What conservation laws are broken in the following proton decays? (a) p → π+ + ve bar (b) p → μ+ + π0 (c) p → e+ + K0 + ve

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Some GUT theories allow the proton to be unstable. What conservation laws are broken in the following proton decays?

(a) p → π+ + vbar

(b) p → μ+ + π0

(c) p → e+ + K0 + ve

Expert Solution
Concept and Principle: Proton Decay

Proton was considered a stable particle for a long time, but recent studies in grand Unification Models have suggested that it might decay with a half-life of about 1032 years.

If a proton decays it will violate conservation of baryon number.

Analysis (a):

Given decay is, 

pπ++ve¯

  p π+ ve¯
B 1 0 0
Le 0 0 1

Baryon number is not conserved

Lepton number is not conserved.

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