Are quarks as sub-atomic as it gets? necessarily?

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is there anything that says there can't be anything smaller than a quark? Can a quark be divided into sub-quark particles...in theory
 
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Yes, one could think about a substructure, but
1) there are no experimental indications
2) something would have to be rather strange, b/c usually you get something like E ~ 1/L where E is the energy of the bound state and L is the typical length scale; b/c L is extremely small, energy E and Mass m = E ~ 1/L should be large; in reality quarks are nearly massless, so there would have to be some additional mechanism ruling out large quark masses (it cannot be spontaneous symmetry breaking + Goldstone mechanism b/c this always creates massless bosons whereas quarks are spin 1/2 fermions)
 
If you look at the history of scattering experiments, there has continually been a hint that there are smaller particles. Alpha particle scattering off a nucleus led us to discover that the nucleus is actually a very very tiny portion of the atom yet contains over 99% of it's mass. Electron scattering off of protons led us to discover that there was an even smaller particle, the quark. So far, there has not been any more hints to further substructure as far as I know. But who knows, we are always smashing things into each other at higher and higher energy levels! Maybe we'll get a surprise!
 
There are many theory papers on substructure for quarks. I don't believe them, but search on preons in arxiv.org or google and stand back.
 
I actually believe that the Rishon model is quite an interesting theory. It's based on the preon model, but has some differences which make it a lot more plausible.http://www.weizmann.ac.il/home/harari/files/Nuclear_PhysicsB_Vol204.pdf (1981 paper)
http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-2310.pdf (1979 paper)
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
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