Which conservation law is violated in each of these proposed reactions and decays? (Assume that the products have zero orbital angular momentum.)

(a)0pK-;(b)Ω--+π0(S=-3,q=-1,m=162MeV/c2,andms=32forΩ);(c)K-+p0+π+

Short Answer

Expert verified

(a) Energy

(b) Strangeness.

(c) Charge.

Step by step solution

01

Conservation law

A principle that states that a certain physical property does not charge in the course of time within an isolated physical system. or

The law states that the total energy of an isolated system does not change.

02

Solve.(a)∧0→p+K-

1) Solution.

0p+KChange0+1-1Spinπ2π2π2Baryonnumber+1+1-1Strangeness-10-1Restenergy1115.6938.3493.7

Hence, Energy cannot be conserved

03

Solve.(b)Ω-→∑-+π0s=-3,q=-1,m=1672MeV/c2,ms=32forΩ

1) Solution.

Ω--+π0Charge-1-10Baryonnumber+10+100Spinπ2π20Strangeness-3-10Restenergy16801197.313.5

Hence, Charge can not be conserved.

04

Solve(c)K-+p→∧0+π+

1) Solution.

K-+p0+π+Restenergy493.7938.31115.6139.6Strangeness-10-10Spin0π2π20Baryonnumber0+1+10Charge-1+10+1

Hence, Charge can not be conserved.

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