Low-lying hypernuclei in the relativistic quark-gluon model

Abstract

Low-lying hypernuclei ${}_{\Lambda }^{3}H$, ${}_{\Sigma }^{3}H$, ${}_{\Lambda }^{3}He$, ${}_{\Sigma }^{3}He$ are described by the relativistic nine-quark equations in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The relativistic nine-quark amplitudes of hypernuclei, including the quarks of three flavors ($u$, $d$, $s$) are calculated. The poles of these amplitudes determine the masses of hypernuclei. The mass of state ${}_{\Lambda }^{3}H$ with the isospin I=0 and the spin-parity $J^P={\frac{1}{2}}^{+}$ is equal to $M=2991MeV$.

Comments: 8 pages. arXiv admin note: substantial text overlap with arXiv:1211.0667; and text overlap with arXiv:1206.5219 by other authors