Abstract
We have studied the reactions $^{28}\textrm{Si} + {}^{24}\textrm{Mg} \rightarrow {}^{52}\textrm{Fe}\rightarrow {}^{40}\textrm{Ca}^* + 3\alpha$ as well as the binary channel $^{52}\textrm{Fe}\rightarrow{}^{40}\textrm{Ca}^* + {}^{12}\textrm{C}^*$ , in order to search for deformed states, which form rotational bands in 40Ca. We observe positive- and negative-parity bands. The negative-parity band is proposed to be a partner of an inversion doublet with the positive-parity states being based on 4p-4h configurations. The properties of the positive-parity states are discussed on the basis of the shell model and the parity doublet on the basis of a cluster model with intrinsic reflection asymmetric shapes.
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