Self-consistent-field nuclear wave functions for O¹⁶, O¹⁵ and explanation of spin-orbit coupling through tensor force
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A matrix version of Hartree-Fock self-consistent-field calculation is applied to O^16 and O^15 nuclei. The two-body interaction operator employed has a Serber exchange character with repulsive core and tensor component. A projection operator technique has been used to construct 1/S wave functions from the various excited configurations which interact with the ground state. The configuration interaction calculation gives the ground state energy of O^16 to be -129.91 mev, neglecting the coulomb forces, which contribute 18.24 mev. An attempt is made to perturb the shell model ground state wave function by mixing d orbital with occupied p orbital and f orbital with occupied s orbital, but it turned out that no such mixing occurs. The p(3/2) - p(1/2) splitting in O^15 nucleus due to the tensor force is estimated to be 4.05 mev, but the calculation puts the P(3/2) level lower than the p(1/2) level
Thesis (Ph.D.)--Boston University
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