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We study the breathing oscillations in bose-fermi mixtures with Yb isotopesin the largely prolate deformed trap, which are realized by Kyoto group. Wechoose the three combinations of the Yb isotopes, Yb170-Yb171, Yb170-Yb173 andYb174-Yb173, whose boson-fermion interactions are weakly repulsive, stronglyattractive and strongly repulsive. The collective oscillations in the deformedtrap are calculated in the dynamical time-development approach, which isformulated with the time-dependent Gross-Pitaevskii and the Vlasov equations.We analyze the results in the time-development approach with the intrinsicoscillation modes of the deformed system, which are obtained using the scalingmethod, and show that the damping and forced-oscillation effects of theintrinsic modes give time-variation of oscillations, especially, in the fermiontransverse mode.

Breathing Oscillations in Bose - Fermi Mixing Gases with Yb atoms in the Largely Prolate Deformed Traps