Are These Particle Reactions Allowed?

[faen]

Homework Statement

State whether the following reactions or particle decays are allowed or not.
•
What conservation laws, invariance principles, or other mechanisms account for the forbidding of some processes?
•
Try to draw the Feynman graph of some processes.

http://smg.photobucket.com/albums/v488/nikko9000/?action=view&current=reactions.jpg

Homework Equations

Parity, isospin, baryon number, lepton number, strangeness conservation. Maybe more

The Attempt at a Solution

a) Seems like an allowed interaction.
b) allowed?
c) I've never heard of this kind of reaction, so id guess its not allowed. Cant figure out why.
d) Dunno what [tex]\nu\mu[/tex] is or what quantum numbers it has.
e) I can't find information on the strange type particles.
f) Dont know what W particles are
g) allowed i think
h) don't know quantum numbers of any particles except the two last

Wish i had a book which actually had enough content to make it possible to answer questions on the mandatory assignments :( please help anyone

 

[Jhero]

Thank you for your post. it is important to carefully analyze and assess the information presented in order to make an informed response. I will do my best to help you with your questions.

Firstly, in order to determine whether a reaction or particle decay is allowed or not, we must consider the conservation laws and invariance principles that govern these processes. These laws and principles are fundamental to our understanding of particle interactions and have been extensively tested and verified through experiments.

For example, the conservation of energy and momentum is a crucial law in determining the allowed interactions. In the Feynman graph provided in the link, we can see that all interactions involve particles with the same initial and final energy and momentum. This indicates that the interactions are allowed.

Other conservation laws that must be considered include parity, isospin, baryon number, lepton number, and strangeness conservation. These laws govern the properties of particles involved in the interactions and must be conserved in all interactions.

In terms of the specific interactions shown in the Feynman graph, let's go through them one by one:

a) This interaction involves a proton and an electron, which are both conserved in terms of energy, momentum, and charge. Therefore, this is an allowed interaction.

b) This interaction involves a neutron and a neutrino, which are both conserved in terms of energy, momentum, and baryon number. Therefore, this is also an allowed interaction.

c) This reaction involves a proton and a pion, which are both conserved in terms of energy, momentum, and charge. However, it violates strangeness conservation, as the pion has a strangeness of -1 while the proton has a strangeness of 0. Therefore, this reaction is not allowed.

d) The notation \nu\mu refers to a muon neutrino, which is a lepton with a lepton number of 1. This interaction involves a muon and a muon neutrino, both of which are conserved in terms of energy, momentum, and lepton number. Therefore, this is an allowed interaction.

e) The strange type particles referred to in this reaction are likely kaons, which have a strangeness of -1. This reaction involves a kaon and a proton, which both have a baryon number of 1 and a charge of +1. Therefore, this is an allowed interaction.

f) The