APPLYING THE QUARK-MODEL TO THE ATOMIC D-SHELL

The atomic d shell is explored from the perspective of the quark model of the atom. In this scheme, all the states are generated by four sta tistically independent fictitious particles (the quarks), each with an gular momentum 3/2, augmented by two parity labels. The detailed quark expansions are given for the two 2D terms of d3, and the results are compared to the classic analysis of Condon and Shortley, Matrix elemen ts of single-electron tensor operators and of the Coulomb interaction are calculated in the quark scheme, and the connection to the conventi onal approach is made. The diagonal sum method of Slater is applied to the quark states and extensions to many-electron operators are discus sed. The correspondence between the quark model and the traditional me thod implies relations between various n-j symbols, and this is illust rated by two special cases.