Potential-energy surfaces for the doubly even N = Z nuclei

Chain Configurations in Light Nuclei

“…As it is well known that the 0 + 2 state in 12 C (Hoyle state) has an excitation energy of 7.65 MeV and there is no evidence of low laying 0 + level at 3 MeV. Anywhere calculation predict for this nucleus an oblate ground state and prolate excited state [11] in agreement with our results. In 16 O the predicted level possible has the same energy as 2 − (8.87 MeV) state.…”

“…Like for 24 Mg rotational band in [14] we can consider the potential-energy surface for 20 Ne. We can see [11] that really there are some minima in this potential surface and one of these have strong prolate deformation (see Fig. 4).…”

“…In Tab. I the numerical results for E * from this study are compared with results from work [11] which have been determined by the macroscopic-microscopic model. It is noteworthy that a shape, corresponding to a linear alignment of α-particles, is strongly favored in all double even Z=N nuclei.…”

Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in nuclei from 64Ge to 84Mo

“…It should be noted here that, although extensive theoretical calculations and rich experimental evidences have been accumulated for axially symmetric octupole (Y 30 ) deformations, as reviewed in [36,37], only a few calculations using WoodsSaxon Strutinsky methods are available [38][39][40][41] except for light nuclei, and no firm experimental evidence exists up to now concerning the non-axial octupole (Y 31 , Y 32 , Y 33 ) deformations in the mean fields. For light nuclei, non-axial octupole deformations have been discussed [42][43][44][45][46] in connection with alpha-cluster structures [47]; for instance, a triangular structure of 12 C [42,44] and a tetrahedral shape for 16 O [45, 46].…”

Search for12C+12C molecule in24Mg* populated by24Mg+12C

“…In particular, in collisions between two 12 C nuclei, these resonances have been interpreted in terms of nuclear molecules [ 1]. However, in many cases these structures have been connected to strongly deformed shapes and to the clustering phenomena, predicted from the α-cluster model [ 2], Hartree-Fock calculations [ 3], and the Nilsson-Strutinsky approach [ 4]. The question whether these molecular resonances represent true cluster states in the 24 Mg compound system, or whether they simply reflect scattering states in the ion-ion potential is still unresolved.…”