Abstract
The Tabakin interaction is used as the residual interaction in a shell-model calculation of the even-mass tin isotopes in which twelve single-particle proton and neutron levels are included and in which the BCS quasi-particle approximation is made. The Hamiltonian is diagonalized in a space consisting of neutron two-quasi-particle states and proton particle-hole states. The calculation is done including second-order corrections in the matrix elements; the results are insensitive to these. The calculated excitation energies of the first 2+ and 3− states agree with experiment to within a few hundred keV for all isotopes. Inclusion of the proton states is important. The lowest 1− level occurs below the ground state and has a large overlap with the spurious center-of-mass state; levels with other spins occur at reasonable values.
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