So I've been set a computational problem regarding applying the Shroedinger equation to quarkonium and I'm just trying to do some research around the subject because it's nothing like I've ever covered before and quite fascinating. There's quite a few questions that I can't find answers to though as this seems to be a recent and poorly understood and documented area, so I'd really appreciate your thoughts on these.(adsbygoogle = window.adsbygoogle || []).push({});

1) I understand that toponium isn't a thing because the top quarks decay before a bound state can be formed, but as bottomonium and charmonium are a thing, why is it quarkonium doesn't consider the lighter quarks? And how does this differ from a pion?

2) What stops the annihilation of these mesons? I've heard of positronium, but that decays quickly. Do I need to assume that quarkonium follows the same fate because any literature I've found seems to gloss over it? Or do they decay into other quarks first?

3) The potential between them I've found is:

-^{4a}/_{3r}+ br

What is the origin of these terms? The first is the strong force, but I only know that becauseais labelled the strong coupling constant. It could just as easily be the electromagnetic force with an arrangement like that; I would have assumed the strong force would be a bit more complex. I can't explain the origin of the second term. Is it just a mathematical construct to tidy up the phenomena that quarks never exist on their own or something physical?

Really appreciate any knowledge you can impart on me around the subject. Thank you :)

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# Quarkonium: General Information

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