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Hypernuclei $ ^4_Y He$, $ ^4_Y H$, $ ^4_{YY} He$, $ ^4_{YY} H$, where$Y=\Lambda$, $\Sigma_0$, $\Sigma_+$, $\Sigma_-$, A=4 are considered using therelativistic twelve-quark equations in the framework of the dispersion relationtechnique. Hypernuclei as the systems of interacting quarks and gluons areconsidered. The relativistic twelve-quark amplitudes of hypernuclei, including$u$, $d$, $s$ quarks are constructed. The approximate solutions of theseequations are obtained using a method based on the extraction of leadingsingularities of the amplitudes. The poles of the multiquark amplitudes allowus to determine the masses of hypernuclei with the atomic (baryon) number$A=B=4$. The mass of state $ ^4_{\Lambda}He$ with the isospin projection$I_3=1/2$ and the spin-parity $J^P=0^+$ is equal to $M=3922\, MeV$. The mass of$ ^4_{\Lambda\Lambda}H$ $M=4118\, MeV$ with the isospin projection $I_3=0$ andthe spin-parity $J^P=0^+$ is calculated. We predict the mass spectrum ofhypernuclei with A=4, which is valuable to further experimental study of thehypernuclei.

Twelve-quark hypernuclei with A=4 in relativistic quark-gluon model