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

by Pascal Naidon, Ludovic Pricoupenko, Christiane Schmickler

This Submission thread is now published as SciPost Phys. 12, 185 (2022)

Submission summary

As Contributors: Pascal Naidon
Arxiv Link: (pdf)
Date accepted: 2022-05-09
Date submitted: 2022-03-28 02:46
Submitted by: Naidon, Pascal
Submitted to: SciPost Physics
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approach: Theoretical


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

Published as SciPost Phys. 12, 185 (2022)

Reports on this Submission

Anonymous Report 2 on 2022-4-13 (Invited Report)


The authors have satisfactorily answered all of my comments. I particularly applaud the authors' significantly enhanced discussion of how they arrive at their main equations, including a new Appendix, as well as the new section on the potential for experimental observation. I am therefore happy to recommend publication in SciPost Physics.

Requested changes

There is a typo in "Schrödinger" at the bottom of page 17, first column.

  • validity: top
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: perfect

Anonymous Report 1 on 2022-4-3 (Invited Report)


The comments raised in the first round of refereeing have been answered satisfactorily, and I find the manuscript improved and suitable for recommendation to be published in SciPost Physics.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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