Abstract
Systematic calculations on low-lying states are carried out for eighty odd-$A$ nuclei with proton number ranging from 50 to 58 and neutron number from 74 to 90 by using the nucleon pair approximation. We use a separable phenomenological Hamiltonian that includes the monopole pairing, quadrupole pairing plus quadrupole-quadrupole interactions, with strength parameters exactly as those of the neighboring even-even nuclei. Our calculated energy spectra, electrical quadrupole moments, and magnetic $g$ factors agree well with experimental data. Electromagnetic properties for low-lying states of these nuclei are discussed in detail.
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