Bibliographic Details
| Title: |
Algebraic model studies of the structure and reactions of 12C and 16O. |
| Authors: |
Fortunato, Lorenzo1,2 fortunat@pd.infn.it |
| Source: |
EPJ Web of Conferences. 11/7/2024, Vol. 311, p1-5. 5p. |
| Subject Terms: |
*CLUSTERING of particles, *NUCLEAR rotational states, *ELASTICITY, *QUANTUM solids, *ORTHOGONAL functions |
| Abstract: |
The role of algebraic models and geometric cluster models of alpha clusters in the structure of ground and first excited 0+ and second excited 2+ states in 12C are evaluated with the aim of establishing if the rotational bands are compatible with rigid structures or if they are instead overlaps of different configurations. A rigid equilateral triangle shape is assumed in Ref.[2, 3]: the energy spectrum, electromagnetic observables are calculated and the transition densities are compared with elastic and inelastic cross-sections for various processes. In a different approach [4, 5], we solve the three-body quantum problem for 3 alphas using the orthogonality condition and the stochastic variational method with correlated Gaussian basis functions. The two-body density distributions indicate that the main configurations of both the second 0+ and 2+ states are acute iscosceles triangle shapes with a 8Be(0+)+α configuration. We also find clues that the second 2+ state is probably not a member of the rigid rotational band built on the Hoyle state. [ABSTRACT FROM AUTHOR] |
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| Database: |
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