What Are the Common Decay Modes of K-Mesons?

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K-mesons, specifically K+ mesons, can decay through various modes, with the most common being K+ → μ+ + νμ, occurring approximately 63.5% of the time. Other notable decay modes include K+ → π0 + e+ + νe (4.8%) and K+ → π+ + π0 (21%). The discussion highlights the importance of conservation laws, such as charge and lepton number, in determining valid decay processes. The initial confusion regarding charge requirements was clarified, emphasizing the significance of understanding particle interactions. Overall, the conversation reflects a deep dive into the complexities of K-meson decay modes and their probabilities.
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ok say a K- meson decays to... Oh i don't know say... A pion 0 and a beta+ and a... what is the third particle in the series. If it was to decay like this would u not need the third particle to have a charge of 2 (dont worry i know this is impossible... and by impossible i mean without doubly charged particles which is definitely not the answer) to balance the equation.

Could this decay series be a typo or could it be valid...

If you have a site containing info on baryons decaying by releasing leptons it would also be a great help because the next two questons also pertain to these types of decays

After a few hours online I got no closer to an answer
In need of help!
Kika
 
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The decay should be something like that:

K^{-}\rightarrow \pi^{0} + e^{-} +\bar{\nu}_{e}

There are several reasons for considering this reaction.Actually they are called conservation laws.4-momentum,electric charge,spin,lepton number,isospin,color,...all of them must be conserved in elementary processes.

Daniel.

PS.Hopefully someone else will give a link where u could read more into it,though i still think you ought to read a good book.Aitchinson &Hey is a good one.
 
Thanks for that.

Now all i need to know is why, but I'll try to work that out for myself.

Thanks again!
:biggrin:
 
ok I got it wrong turns out it was a K+ meson thus the whole "charge of 2" thing... little help here!
 
Well using Daniel's equation

K^{+}\rightarrow \pi^{0} + e^{+} + {\nu}_{e}

But this is only one of several possibilities of decay modes.

The most probable decay mode (perhaps Daniel may confirm) is K^{+}\rightarrow \mu^+ + \nu_\mu.
 
Astronuc said:
Well using Daniel's equation

K^{+}\rightarrow \pi^{0} + e^{+} + {\nu}_{e}

But this is only one of several possibilities of decay modes.

The most probable decay mode (perhaps Daniel may confirm) is K^{+}\rightarrow \mu^+ + \nu_\mu.

Yes, the decay K^{+}\rightarrow \mu^+ + \nu_\mu is observed about 63.5% of the time.

The next most observed decay is to \pi^+ \pi^0 (about 21% of the time)

Then ther is to \pi^+ \pi^- \pi^+ (5.6%)

and then \pi^0 e^+ \nu_e (4.8%)

and then \pi^0 \mu^+ \nu_\mu (3.2%)

and so on. (source : Particle Properties data Booklet, but that's a very old edition (1992) so these numbers may have changed a bit)



Pat
 
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