Abstract
A method is presented of solving the six-particle systems in several steps. In the first step, the two-particle spectrum is calculated within the standard shell model. In the second step, the four-particle system is solved within a (correlated) basis consisting of the vector-coupled two-particle states previously evaluated. Finally, in the third step the six-particle system is calculated using a basis formed by vector coupling the two- and four-particle spectra evaluated in the first two steps. The method is applied to analyse the spectra and (p, t) reactions leading to 204Pb and 202Pb and good agreement with experimental data is obtained. A liaison between this calculation and the pairing model is found and the importance of the Pauli principle upon the pairing vibrational states is attested.
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