# The strangeness conservation law does not hold in

24 views
in Physics
closed
The strangeness conservation law does not hold in
1. π0 = γ + γ
2. $\bar \mu + p \to n + {\mu ^ + } + \gamma$
3. A0 → p + π
4. A0 + p → ε+ + n

by (54.3k points)
selected

Correct Answer - Option 3 : A0 → p + π

Concept:

• During the research, scientist found that there were a large number of particle which behaved in a very strange manner.

• They were produced by strong electromagnetic interaction.

• They decay via weak interactions.

• The quantum number associated with that particle is named as strangeness numbers.

Conservation:

• Strangeness number are conserved in EM/strong interaction.

• They are not conserved in weak interactions.

Some strangeness numbers and their values

 Particle Name Symbol Anti-particle Baryon Electron Lapton Muon Lapton Tau Lapton Strangeness number B Le Lμ LT S Photon γ self 0 0 0 0 0 Pion π+ π- 0 0 0 0 Pion π0 self 0 0 0 0 0 Muon μ- μ+ 0 0 +1 , -1 0 0 Photon p p̅ +1, -1 0 0 0 0 Nutron n n̅ +1, -1 0 0 0 0 Omega Ω- Ω+ +1, -1 0 0 0 -3, +3 Labda A0 A̅0 +1, -1 0 0 0 -1, +1 electron e- e+ 0 +1, -1 0 0 0

Calculation:

We can check conservation by balancing the quantum number on both sides of the reaction by using the above data.

π0 = γ + γ

0     0    0

$̅ \mu + p \to n + {\mu ^ + } + \gamma$

0    0     0     0       0

A0 → p + π

-1     0     0

A0 + p → ε+ + n

-1     0     -1     0

0     0      0      0

From the above discussion, we can see that, strangeness conservation law does not hold in A0 → p + π.