Clustering in Light Nuclei

Deformation dependence of nuclear clusterization

“…(According to the simple self-consistency argument it gives a ratio of main axes 33: 13.) The effective U͑3͒ quantum numbers, determined from the Nilsson scheme for the ␤ 2 Ϸ 0.86 deformation, are [36, 12,10] ["Hyperd. (b)"], corresponding to merely 6ប excitation (and ratio of axes 27:15:14).…”

“…Thus it may very well happen that an energetically favored cluster configuration is not allowed due to the exclusion principle. The microscopic nature of clusterization can be approached either from the side of the parent nucleus, describing it with a shell-model [6], Hartree-Fock [7], Nilsson-Strutinsky [8], deformed Woods-Saxon [9], etc., method, or from the cluster side [10].…”

Investigation of theα-cluster structure ofNe22andGoldberg1, Rogachev2, Trzaska3 et al. 2004Phys. Rev. C532230View full textAdd to dashboardCite

“…The relative positions and widths of low-spin members of the band are weakly dependent upon this choice. It is known for 16 O and 20 Ne [7] that the degree of clusterization is smaller for the positive parity states, and the need to change the potential to describe both positive and negative parity ␣-cluster bands in other light nuclei is also known [32]. Therefore, more data on the higher members of the positive parity band are needed to specify the features of this band in 22 Ne.…”

Three-alpha force and the 3-? model of12C

“…But these configurations are not rigid; 50 % of the maximum probability occurs at triangle deformation of ~ 25 ~ and linear chain deformation of ~40 ~ as can be inferred from Figs. [8][9][10][11]. Note that there is a small probability for 0 + to be found in a triangular configuration.…”

“…Characterizations of 12C as a 3-c~ system have recently provided successful descriptions of the ~z-12C scattering length [5], elastic rc-12C scattering [6], high energy p-12C scattering [7], emission of n-d and n-t pairs by 12C after )z-absorption [8], and high energy scattering of ~2C from many targets [9]. In its naive form, the dynamical a-model represents 12C as three finite structureless alpha particles interacting through pairwise phenomenological ~-e potentials; it should be distinguished from a-cluster models [10,11] which take into account the fact that c~-particles are composed of nucleons. It is natural to attempt to calculate the binding energy of this three-body state by three-body techniques developed for the three-nucleon problem.…”