Coexistence of cluster configurations in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>32</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:math>nucleus

The $T=0$ energy spectrum and the electromagnetic transitions of the ${}^{32}\mathrm{S}$ nucleus are described in terms of the semimicroscopic algebraic cluster model. ${}^{28}\mathrm{Si}+\ensuremath{\alpha}$ and ${}^{16}\mathrm{O}{+}^{16}\mathrm{O}$ configurations are considered for the low-lying bands and molecular resonances, respectively. The cluster configurations, including their Hamiltonians, are treated in a unified framework. The densities of high-lying core-plus-alpha-particle states are predicted in those energy windows, where good-resolution experiments have been carried out.

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