Elsevier

Nuclear Physics A

Volume 142, Issue 1, 16 February 1970, Pages 49-62
Nuclear Physics A

Self-consistent nuclear calculations with a deformed basis

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Abstract

The eigenfunctions of a cylindrically symmetric, deformed harmonic oscillator (h.o.) potential are used as a basis in which to expand Hartree-Fock orbitals. Self-consistent calculations for nuclei with 4 ≦ A ≦ 80 are carried out in this basis and compared with results obtained with a spherical basis. It has been found 4) that a rather large spherical basis must be used to obtain convergence for the quadrupole moment. It is shown that the use of a significantly smaller de-formed basis produces the same result because of the extra degree of freedom, namely the ratio of the major and minor axes of the (h.o.) potential. The effects of including the Coulomb interaction are discussed and it is pointed out why previous calculations of Coulomb effects on the deformation are incomplete.

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This work was performed under the auspices of the US Atomic Energy Commission.

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