Elongated shape isomers in the ${}^{36}\mathrm{Ar}$ nucleus

A recent analysis of the ${}^{12}\mathrm{C}$$+$${}^{24}\mathrm{Mg}$ scattering [W. Sciani et al., Phys. Rev. C 80, 034319 (2009)] suggests the existence of a hyperdeformed band in the ${}^{36}\mathrm{Ar}$ nucleus, completely in line with the predictions of $\alpha$ [W. D. M. Rae and A. C. Merchant, Phys. Lett. B279, 207 (1992)] and binary cluster calculations [J. Cseh et al., Phys. Rev. C 70, 034311 (2004)]. Here we review the structural understanding of the superdeformed and the hyperdeformed states of ${}^{36}\mathrm{Ar}$ and present new results on the shape isomers as well. Special attention is paid to the clusterization of these states, which indicates the appropriate reaction channels for their formation.

Figure 1

Quadrupole deformation of the ${}^{36}\mathrm{Ar}$ nucleus from the Nilsson model with the effective U(3) quantum numbers at the plateaus.

Figure 2

Shape isomers of Fig. 1 (GS, [20,20,12]; SD, [32,16,8]; ${\mathrm{HD}}_b$, [40,12,8]; HD, [48,8,8]) with their corresponding ${}^{24}\mathrm{Mg}$$+$${}^{12}\mathrm{C}$ cluster configurations.