Spin dynamics of the square lattice Heisenberg antiferromagnet, BaMnGeO, is studied by a combination of bulk measurements, neutron diffraction, and inelastic neutron scattering techniques. Easy plane type antiferromagnetic order is identified at $T le 4.0$ K. The exchange interactions are estimated as $J_1$ = 27.8(3)${mu}$eV and $J_2$ = 1.0(1) ${mu}$eV, and the saturation field $H_{rm C}$ is 9.75 T. Magnetic excitation measurements with high experimental resolution setup by triple axis neutron spectrometer reveals the instability of one magnon excitation in the field range of $0.7H_{rm C} lesssim H lesssim 0.85H_{rm C}$.
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