Year: 2024
Type: article
Abstract: Symplectic symmetry approach to clustering (SSAC) in atomic nuclei, recently proposed, is modified and further developed in more detail. It is firstly applied to the light two-cluster 20Ne + α system of 24Mg, the latter exhibiting well developed low-energy K π = 0 1 + , K π = 2 1 + and K π = 0 1 − rotational bands in its spectrum. A simple algebraic Hamiltonian, consisting of dynamical symmetry, residual and vertical mixing parts is used to describe these three lowest rotational bands of positive and negative parity in 24Mg. A good description of the excitation energies is obtained by considering only the SU(3) cluster states restricted to the stretched many-particle Hilbert subspace, built on the leading Pauli allowed SU(3) multiplet for the positive- and negative-parity states, respectively. The coupling to the higher cluster-model configurations allows us to describe the known low-lying experimentally observed B(E2) transition probabilities within and between the cluster states of the three bands under consideration without the use of an effective charge.
Author: H G Ganev
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404337313