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We consider collective Thomson scattering of an incident X-mode wave (withthe electric vector perpendicular to the background magnetic field) inmagnetized electron and positron pair plasma. The collective effects do notexactly cancel out in contrast to the non-magnetized case. Still, thecross-section is comparable to the non-collective one, with the samesuppression by the square of the cyclotron frequency in a strong magneticfield. The comparable cross-section holds even though the net current is nearlyzero from the drift motion of electrons and positrons. The plasma response doesnot also affect the cross-section so much. The spectrum of the scattered wavein finite temperature plasma peaks at cyclotron overtones. Based on theseresults, we also estimate induced Compton scattering in strongly magnetizedpair plasma. Implications for pulsars and fast radio bursts are discussed.

Collective Thomson scattering in magnetized electron and positron pair plasma and the application to induced Compton scattering