Abstract
In a single-j shell the author considers fermion pair and multipole operators coupled to zero angular momentum. The commutation relations of these operators can be satisfied up to first-order corrections by suitably defined q-bosons, onto which the fermion pair operators are mapped. After performing the same mapping to a simple pairing Hamiltonian, it is proved that the pairing energies are also correctly reproduced up to the same order. The small parameter used (T=In Q) is found to be inversely proportional to the size of the shell.
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