Axially Asymmetric Deformation and Its Stability in sd-Shell Nuclei

概要

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The magnitude of nuclear deformation and its asymmetry are determined by the variational method in the cases of Ne^<20>, Ne^<22> and Mg^<24>. The Hamiltonian used in this work is essentially the same with that in Brueckner's single particle model space, where the reaction matrix is calculated from the Gammel-Thaler potential. The wave function in a ellipsoidal potential is taken as a trial wave function, in which parameters of deformation and asymmetry are taken as variational parameters. The energy surfaces thus obtained show that the deformation of Ne^<20> and Ne^<22> is axially symmetric and large and Mg^<24> has an asymmetric large deformation. The stability of asymmetry of Mg^<24> in the ground state is examined by solving the Bohr Hamiltonian. The energy surface is taken as a potential of the collective motion. Result is that the asymmetry of Mg^<24> is fairly large but the wave function of γ-vibration is hardly localized. This is inconsistent with Davydov's basic concept.
理論物理学刊行会の論文
1963-07-25