Question on Baryons Decay

[olvin dsouza]

1) We know in case of beta decay if there is excess of protons or neutrons in the nucleus, beta decay take place.
Force involved - weak interaction 
Reason involved - to stabilize, to obtain proton neuton 1:1 ratio in the nucleus.
E. g., Beta minus - Carbon 14 transforms into Nitrogen 14

2) Case of Lambda & Sigma - 

Force involved - weak  
Reason involved - ?

Does anyone know the reason why Lambda Λ0 (uds - quark composition) decays into,
p+ +  π−    
 or
n0  +  π0

Also why Sigma Σ+(uss - quark composition) decays into,     
p+  +  π0
 or
n0  +  π+

What mechanism make them go decay under either the set of proton or neutron? What is the reason involved ?

 

[swansont]

48 minutes ago, olvin dsouza said:

1) We know in case of beta decay if there is excess of protons or neutrons in the nucleus, beta decay take place.
Force involved - weak interaction 
Reason involved - to stabilize, to obtain proton neuton 1:1 ratio in the nucleus.

No, that’s not the reason. The ratio for nuclei stable vs beta decay grows larger as Z increases. And that ratio is not the reason for stability, merely an indicator. As Z increases, the electrostatic repulsion increases, as it has an infinite range, but the nuclear attraction saturates, owing to its finite range. You need more neutrons in larger nuclei.

What the nuclei are “trying to obtain” is being in the lowest energy state. If a beta decay gets them to a lower energy state, they will decay. Similar to a ball rolling downhill to minimize its potential energy.

 

48 minutes ago, olvin dsouza said:

E. g., Beta minus - Carbon 14 transforms into Nitrogen 14

2) Case of Lambda & Sigma - 

Force involved - weak  
Reason involved - ?

Does anyone know the reason why Lambda Λ0 (uds - quark composition) decays into,
p+ +  π−    
 or
n0  +  π0

Also why Sigma Σ+(uss - quark composition) decays into,     
p+  +  π0
 or
n0  +  π+

What mechanism make them go decay under either the set of proton or neutron? What is the reason involved ?

 

same as above - spontaneous decay will happen because the final state is lower in energy. The mass is lower.