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.
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机译：超核$ ^ 4_Y He $，$ ^ 4_Y H $，$ ^ 4_ {YY} He $，$ ^ 4_ {YY} H $，其中$ Y = \ Lambda $，$ \ Sigma_0 $，$ \ Sigma _ + $，在色散关系技术的框架内使用相对论的十二夸克方程来考虑$ \ Sigma _- $，A = 4。考虑了超核作为夸克和胶子相互作用的系统。构造了相对论的十二个夸克振幅的超核，包括$ u $，$ d $，$ s $夸克。这些方程的近似解是使用基于振幅前奇点提取的方法获得的。多夸克振幅极点可以确定原子（重子）数$ A = B = 4 $的超核质量。具有等旋投影$ I_3 = 1/2 $和自旋奇偶校验$ J ^ P = 0 ^ + $的状态质量^ 4 _ {\ Lambda} He $等于$ M = 3922 \，MeV $。计算具有等旋投影$ I_3 = 0 $和自旋奇偶校验$ J ^ P = 0 ^ + $的质量$ ^ 4 _ {\ Lambda \ Lambda} H $ $ M = 4118 \，MeV $。我们预测了A = 4的超核的质谱，这对进一步研究超核具有重要的价值。
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