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We consider two identical fermions interacting in the p-wave channel. Eachfermion also interacts with another particle in the vicinity of an s-waveresonance. We find that in addition to the Kartavtsev-Malykh universal trimerstates resulting from the s-wave particle-fermion interaction, thefermion-fermion p-wave interaction induces one or two shallow trimers in alarge domain of the control parameters, including a borromean regime where theground-state trimer exists in the absence of dimers at any mass ratio betweenthe fermions and the particle. A generic picture of the trimer spectrum emergesfrom this work in terms of the low-energy parameters of the interactions.

Shallow Trimers of Two Identical Fermions and One Particle in Resonant Regimes