Quark-antiquark creation in strong interactions

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SUMMARY

The discussion centers on the decay process of the Δ+ baryon into a neutron and a pion, specifically the reaction Δ+ → n + π+. Participants clarify that this process involves the creation of a down-antidown quark pair via gluon emission, which conserves quark content. The confusion arises from the apparent increase in quark numbers, but it is resolved by understanding that the gluon facilitates the transformation of one quark into three, thus maintaining conservation laws. The correct interpretation is that the Δ+ decays into a neutron and a pion through the emission of a gluon that produces the necessary quark-antiquark pair.

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sunrah
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(please note this is similar to a homework question I have posted but it is not the same and here I am just trying to understand a concept)

In a book I was reading it said

<br /> \Delta^{+} \longrightarrow n + \pi^{+}<br />

is a viable process via the strong force because all that is needed is a down antidown quark pair, which can be provided via the strong force. My question is why? If \Delta^{+} is uud and \Delta^{+}\pi^{+} is udd + u\bar{d} we can see that the right hand side only has one antidown quark therefore there has only been one quark-antiquark pair created. Converting one quark into two only creates one extra particle effectively so I see a deficit on the left hand side.

Please can someone explain
 
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Δ+ → n + π0

:confused: What you have written does not conserve charge.
 
Bill_K said:
:confused: What you have written does not conserve charge.

You're right. I've changed it now it. My question really is about how a 3 quark particle can become two particles with a total of 5 quarks :smile:

we don't do this stuff in lectures
 
The process would be

d -> d + g -> d + (q qbar)

A gluon gets emitted that then decays. You're thinking its one d decaying to two, when its really 1 to 3
 
Hepth said:
The process would be

d -> d + g -> d + (q qbar)

A gluon gets emitted that then decays. You're thinking its one d decaying to two, when its really 1 to 3

oh I see. does the q-qbar-pair have to be the same type? If I understand it right in this case the gluon must become an up and an antidown pair.
 
The q can be anything, but not mixed. A pi0 is not u dbar. It is u ubar and d dbar.
 
Hepth said:
The q can be anything, but not mixed. A pi0 is not u dbar. It is u ubar and d dbar.

sorry my question was wrong. it should have been pi+ :redface:

does this mean this process is forbidden?
 
I'll write ubar as u~

You have
uud > udd + ud~
So quark content is fine.

Draw it out, the gluon makes a d d~ but the d goes to the neutron, the d~ to the pion.
 
I think it just went click.
The Delta+ decays into two parts (e.g. ud and u) thereby producing a gluon which becomes dd~ pair except the d is taken up by ud to form a neutron and d~ joins with u to form a pi+.

Is that more or less right?
 
  • #10
Yes that is correct.
 

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