Prog. Theor. Phys. Vol. 30 No. 1 (1963) pp. 60-70
Axially Asymmetric Deformation and Its Stability in sd-Shell Nuclei
Department of Physics, Kyoto University, Kyoto
(Received March 20, 1963)
The magnitude of nuclear deformation and its asymmetry are determined by the variational method in the cases of Ne20, Ne22 and Mg24. 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 Ne20 and Ne22 is axially symmetric and large and Mg24 has an asymmetric large deformation.
The stability of asymmetry of Mg24 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 Mg24 is fairly large but the wave function of γ-vibration is hardly localized. This is inconsistent with Davydov's basic concept.
DOI : 10.1143/PTP.30.60
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Citing Article(s) :
Progress of Theoretical Physics Vol. 33 No. 6 (1965) pp. 1135-1137
Note on the Vibrational Motion in Light Nuclei
Sinobu Nagata, Kenjiro Takada and Shuji Takagi
Progress of Theoretical Physics Vol. 37 No. 5 (1967) pp. 847-869
Nuclear Forces and Effective Interactions in Nuclei
Yoshinori Akaishi and Kenjiro Takada