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Specially, for $p^+ + n \rightarrow \Delta^- + \Delta^{++} + \pi^0$.

I see that charge is conserved. All other conservation rules seem to check out. But, when drawing the Feynman diagram there seem to be two quarks that come from nowhere. Is there a virtual particle that could decay into a neutral pion?

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    $\begingroup$ Quarks annihilate antiquarks of the same kind to gluons, and, vice versa, gluons create quark-antiquark pairs out of "nowhere", the soupy hadronic medium: yes, gazillions of virtual stuff. The quarks you apparently track are the "valence quarks" conserving fermion number and flavor in the strong interactions. An answer here would not do justice to the magnificent full picture. You wish to read up? $\endgroup$
    – Cosmas Zachos
    Commented Feb 17, 2021 at 0:02
  • $\begingroup$ Yes, please! Just today I found examples of gluons creating quark antquark pairs out of nowhere. I'd love to read more. $\endgroup$
    – Spacenut
    Commented Feb 18, 2021 at 4:17
  • $\begingroup$ Try this, and the video of the question. $\endgroup$
    – Cosmas Zachos
    Commented Feb 18, 2021 at 12:27
  • $\begingroup$ Great video! I love how he said that we tend to overcomplicate nature. It's much simpler than we initially think. $\endgroup$
    – Spacenut
    Commented Feb 19, 2021 at 22:40
  • $\begingroup$ Back to the question, though. The example I saw from CERN that had a strange quark interacting with a W- boson to become an up quark and then the boson decaying into an anti-up and a down pair. So, I thought that would explain where the pion comes from. It really doesn't though. Any ideas? $\endgroup$
    – Spacenut
    Commented Feb 19, 2021 at 22:44

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