Highly deformed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>40</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:math>configurations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>28</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Si</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:math>

The possible occurrence of highly deformed configurations in the ${}^{40}\mathrm{Ca}$ dinuclear system formed in the ${}^{28}\mathrm{Si}{+}^{12}\mathrm{C}$ reaction is investigated by analyzing the spectra of emitted light charged particles. Both inclusive and exclusive measurements of the heavy fragments $(A&gt;~10)$ and their associated light charged particles (protons and $\ensuremath{\alpha}$ particles) have been made at the IReS Strasbourg VIVITRON Tandem facility at bombarding energies of ${E}_{\mathrm{lab}}{(}^{28}\mathrm{Si})=112\mathrm{MeV}$ and 180 MeV by using the ICARE charged particle multidetector array. The energy spectra, velocity distributions, and both in-plane and out-of-plane angular correlations of light charged particles are compared to statistical-model calculations using a consistent set of parameters with spin-dependent level densities. The analysis suggests the onset of large nuclear deformation in ${}^{40}\mathrm{Ca}$ at high spin.

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