2 Structure Diquarks: an introduction to Vector Mesons
Aran David Stubbs
Infra-Matter Research Center
While the scalar mesons can easily be explained as single structure diquarks, the vector mesons need a more complex analysis.
In the neutral pion, a typical scalar meson, the proto-up and proto-anti-up are in 7s orbits, alternating with proto-down and proto-anti-down in 4s orbits, trapping a pair of gravitons in 1s orbits.
In addition to the single sphere diquark cases, there are many 2 sphere cases. Here the quark or anti-quark has net charge and net color; so many more proto-matter pieces have to be accounted for. From a numerical analysis, the solution point for the rho meson is a good fit when there is a single proto-gluon in a 4g orbit above a pair of 1p gravitons in each quark or anti-quark, with the proto-quark and 1 or 2 proto-photons in s orbits above another pair of gravitons in 1s orbits. This gave a P* for the sum of the proto-quark and the proto-photons of 11 for the up or anti-up, and 10 for the down or anti-down. Using the standard calculation where the proto-gluon is treated as a luxon with an average energy 
*4s energy, and each 1p graviton 
*1s energy, the P* among the gravitons and the proto-gluon total 8.87132. Since the difference in P*s is 1 unit, the 1s energy is the difference between the proto-up’s rest energy and the proto-down’s. This gives a rest energy for the neutral rho meson of 774.046 MeV, which is a bit light. Treating the P* for the proto-up and its 2 proto-photons as 31 and a P* for the proto-down and its proto-photon as 29, (so the 1s energy is half the difference between the proto-up and the proto-down), the calculated energy is 776.436 MeV, which is a bit heavy. What is observed may be some mix of the 2. An even mix would average 775.241 MeV, and the reported value is 775.26(28) MeV. Differences in the P* values of 8 and 9 give solutions averaging 782.648 MeV, which may be the reported omega (782.65 MeV), or it could have a different configuration. Unlike the pion, where only 2 particles have to come together, the rho requires a proto-up, proto-anti-up, and 2 proto-photons to all come together and become a proto-down and proto-anti-down, so its half-life is only a few orbits.
The phi meson looks like a 2 sphere diquark, with all the overhead that implies. Since the reported spin is -1, which is 12 small units of angular momentum, the solution should include a proto-photon in a 6s orbit for both spheres, each with a negative orientation (rather than 1 plus and 1 minus, as the proto-quarks would be). As it doesn’t appear to represent a balance point (alternating between 
and 
for instance), insufficient information exists to get more precise. The proto-stranges could be in any orbits (except 6s) from 2s up. The j-psi and upsilon similarly have a charm/anti-charm quark pair each with 2 proto-photons, and a bottom/anti-bottom pair each with 1 proto-photon.
In addition to these examples, many 2 sphere diquarks are possible. These may have the proto-quarks in low s orbit, lasting only a few orbits.