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

Abstract

Hypernuclei ${}_Y^{4}He$, ${}_Y^{4}H$, ${}_{YY}^{4}He$, ${}_{YY}^{4}H$, where $Y=\Lambda$, ${\Sigma }_0$, ${\Sigma }_{+}$, ${\Sigma }_{-}$, A=4 are considered using the relativistic twelve-quark equations in the framework of the dispersion relation technique. Hypernuclei as the systems of interacting quarks and gluons are considered. The relativistic twelve-quark amplitudes of hypernuclei, including $u$, $d$, $s$ quarks are constructed. The approximate solutions of these equations are obtained using a method based on the extraction of leading singularities of the amplitudes. The poles of the multiquark amplitudes allow us to determine the masses of hypernuclei with the atomic (baryon) number $A=B=4$. The mass of state ${}_{\Lambda }^{4}He$ with the isospin projection $I_3=1/2$ and the spin-parity $J^P=0^{+}$ is equal to $M=3922MeV$. The mass of ${}_{\Lambda \Lambda }^{4}H$ $M=4118MeV$ with the isospin projection $I_3=0$ and the spin-parity $J^P=0^{+}$ is calculated. We predict the mass spectrum of hypernuclei with A=4, which is valuable to further experimental study of the hypernuclei.

Comments: 16 pages