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The aim of this paper is to give a.' systematic formulation of microscopic description of the collective excitations in spherical odd-mass nuclei. The theory· can be regarded as a natural extension of" the conventional quasi-partiCle-random-p hase approximation for spherical even-mass :imclei . into the case of spherical odd-mass nuclei. In the same manner as the conventional random-phase approximation for even-mass nuclei leads us to the concept of "phonon", the theory necessarily leads us, todoi:10.1143/ptp.52.1819 fatcat:345v3ga34bakrp64qqoguzhlmm