Abstract
By accounting for the difference in the spin and isospin projection among nucleons, the Sp(6,R) dynamical symmetry of the nuclear collective model is amplified in parallel with a horizontal extension of the instrinic shell structure. The generating kernels for the extended symplectic model basis functions are constructed in the form of a shortened coherent state. Analytical expressions for the microscopic Hamiltonian matrix elements, including central and tensor interactions, are obtained between the coherent states indicated.
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