The quark configurationsS 6 andS 4 P 2 in the bag model

The spectrum and eigenfunctions of deuteronlike states in the quark bag for the configurationsS ⁶ andS ⁴ P ² have been studied. The complete tables of the fractional parentage coefficients (f.p.c.) for these configurations in thej-j andL-S coupling schemes are presented. The universal method of calculation of the f.p.c. which is based on the complementarity of the unitary and permutation group, is considered. The method enable one to calculate the Clebsh-Gordon coefficients and the invariant symbols of the noted groups. It is shown that the lowest energy state of the configurationS ₁ ^2/4 P ₃ ^2/2 resembles the partial wave³ D ₁ and can, therefore, be coupled to it in a deuteron. On the contrary, the lowest states in the configurationsS ₁ ^2/6 andS ₁ ^2/4 P ₁ ^2/2 resemble the³ S ₁-wave.