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In this work, we study the interaction between a nucleon and a $P$-wavecharmed meson in the $T$ doublet by exchanging a pion. Our calculationsindicate that a nucleon and a $P$-wave charmed meson with $J^P=0^+$ or$J^P=1^+$ in the $T$ doublet can form bound states. We propose the experimentalsearch for these exotic molecular states near the $D_1(2420)N$ and$D_2^*(2460)N$ thresholds, where Belle, LHCb and the forthcoming Belle II havethe discovery potential for them.

Predicting exotic molecular states composed of nucleon and P-wave charmed meson