Arickx, Frans

Broeckhove, Jan

Nesterov, A.V.

Vasilevsky, V.S.

Abstract: A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the algebraic model. This means that the nuclear many-particle state and its asymptotic behavior are expanded in terms of oscillator states of the intercluster coordinates. The generating function technique is used to optimize the calculation of matrix elements. In order to derive the dynamical equations, a multichannel version of the algebraic model is presented

The algebraic model for scattering in three-s-cluster systems: theoretical background

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