Universal $p$-wave tetramers in low-dimensional fermionic systems with three-body interaction

Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose a two-channel model of three-component fermions with a three-body interaction that takes into account finite-range effects in low dimensions. Within this model, the $p$-wave Efimov-like effect in the four-body sector is predicted in fractional dimensions between $d=1$ and $d=2$. The impact of the finite-range interaction on the formation of the four-body bound states in $d=1$ is also discussed in detail.