Mohsen:

For the currently known elementary particles, there are 3 spins (0, 1/2, and 1 - in units of h-bar) and 16 masses (photons and gluons have the same [zero] mass).

While I (and perhaps other people) cannot adequately answer your question directly, I may be able to provide some insight regarding spins and relative masses of elementary particles (all the known ones and some possible yet-to-be-discovered ones).

I discovered some math (related to quantum isotropic harmonic oscillators) for which some solutions correlate with the 17 known elementary particles. Other solutions correlate with possible elementary particles (including ones for dark matter and dark energy).

Overall, the solutions fall into 7 families. Each solution can be characterized by 3 parameters. One is 2S - 2*spin/(h-bar) - even or odd positive integer. Another is m - mass - zero or non-zero. The third is omega - [plus-or-minus]S(S+1).

I note below some comments pertaining to "non-[dark matter plus dark energy]."

* H-family (2S=0, m≠0, omega=0) - Higgs boson. No new particles expected.

* W-family (2S=2, m≠0, omega>0) - Z and W bosons. No new particles expected.

* O-family (2S=2, m≠0, omega0) - Leptons. Possible yet-to-be-found 'siblings of known leptons.'

* Q-family (2S=1, m≠0, omega