Abstract
A microscopic description of the low-lying positive-parity rotational bands in 20Ne is given within the framework of the symplectic-based proton-neutron shell-model approach provided by the proton-neutron symplectic model (PNSM). For this purpose, a model Hamiltonian is adopted. This includes an algebraic interaction lying in the enveloping algebra of the dynamical group of the PNSM, which introduces both horizontal and vertical mixings of different irreducible representations within the irreducible collective space of 20Ne. A good overall description is obtained for the excitation energies of the ground and first two excited β bands, including the ground state intraband quadrupole collectivity and the known interband transition probabilities between the low-lying collective states, without utilizing an effective charge.
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