Abstract
A microscopic interacting boson approximation is systematically formulated in spherical nuclei. Matrix elements are calculated starting with a hamiltonian describing nucleon degrees of freedom. The treatment is more practical than the broken-pair approximation and is more accurate than the quasiparticle one. At the stage of bosonization, the pairing degree of freedom is described in terms of various s-bosons. This enables us to deal with the pairing vibrational modes in the boson model. The boson expression of the quadrupole nucleon operator is superior to those given by Janssen et al. and Arima et al. An important effect depending on the d-boson seniority is taken into account. The applicability of the interacting boson model is investigated in a two-orbit model.
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