Spectroscopic amplitudes in microscopic three-cluster systems

I investigate three-body spectroscopic amplitudes in a microscopic three-cluster model. The total wave functions are described in the resonating group method (RGM) formalism based on cluster wave functions and on relative functions defined in the hyperspherical method. Core excitations are included. I develop a method aimed to determine three-body spectroscopic amplitudes and spectroscopic factors. This technique also provides three-body wave functions where the antisymmetrization is treated approximately. In this way, the various channels are orthogonal to each other and can be used without the antisymmetrization operator. This method is well known in two-cluster systems, and is based on the eigenvalues and the eigenvectors of the antisymmetrization operator. I illustrate the formalism with the 6He, 11Li, and 14Be nuclei where 9Li and 12Be excited states are taken into account.

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I investigate three-body spectroscopic amplitudes in a microscopic three-cluster model, using the resonating group method (RGM) formalism. The method aims to determine three-body spectroscopic amplitudes and spectroscopic factors, providing approximately antisymmetrized three-body wave functions. It is well known in two-cluster systems and based on the eigenvalues and eigenvectors of the antisymmetrization operator. The formalism is illustrated with the 6He, 11Li, and 14Be nuclei considering excited states of 9Li and 12Be.