Quark-diquark Systematics of Baryons: Spectral Integral Equations for Systems Composed by Light Quarks

For baryons composed by the light quarks ($q=u,d$) we write spectral integral equation using the notion of two diquarks: (i) axial–vector state, $D_1^1$, with the spin $S_D=1$ and isospin $I_D=1$ and (ii) scalar one, $D_0^0$, with the spin $S_D=0$ and isospin $I_D=0$. We present spectral integral equations for the $q{D}_0^0$ and $q{D}_1^1$ states taking into account quark–diquark confinement interaction.