Why Mesons Can't Be Made of 2 Quarks Alone

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Achim
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As far as I know a Baryon is made of three Quarks (eg uud, udd etc) and a Meson of two Quarks, a Quark/Antiquark pair. As I am not a student / scholar in Physics but very deeply interested in this field, I couldn't find any explanation, why a Meson is omly made up by a Quark/Antiquark pair. What hinders a Meson to be made of, let's say an up-down Quark pair? Pauli only forbids constructions like up-up or down-down as both involved Quarks cannot be differed in this. So, can anyone please help my fault in thinking and grant me a hint, on why two Quarks cannot form a Meson WITHOUT an Anti-Quark / third Quark?
Add-on question: if such ud-Quark is not possible, would such construction MAYBE possible in a process when glasma becomes Quark-Gluon-Plasma?
This is not a question for a scientific work, neither homework etc. this is just a question to ease my always chatting mind at night as I am very sich, struck with central apnea sleeping disorder and hence my mind ventures into all sorts of science to keep my spirit going. I apologise for any error I made in constructing my question. Thank you.
 
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Drakkith said:
I think hadrons (baryons and mesons) are required to be color neutral, something which can only happen if you have 3 quarks or a quark-antiquark pair.

http://hyperphysics.phy-astr.gsu.edu/hbase/forces/color.html
Thank you, I understand the status-quo. My question's intention is different, I am after "is a crippled meson possible or not" plus "if it is possible, what condition could produce it". That why I mentioned the glasma -> quark-gluon-plasma transition.

Thoughts?
 
Achim said:
, I am after "is a crippled meson possible or not"

And the answer is "no", for the reasons explained above.
 
Drakkith said:
I think hadrons (baryons and mesons) are required to be color neutral, something which can only happen if you have 3 quarks or a quark-antiquark pair.
Or with 4 quarks and one antiquark ("pentaquark"), with two quarks or two antiquarks ("tetraquark"), with no valence quarks at all ("glueball") or with even more exotic combinations, but those things have not been observed yet (at least not conclusively).
Achim said:
I am after "is a crippled meson possible or not"
No.