Three fermions with high angular momentum in the unitarity limit
Abstract
This study considers the unitary limit of three equal mass fermions having total orbital angular momentum JΠ =1- , specifically consisting of two spin-up and one spin-down fermion (↓ ↑ ↑). Our results agree with previous work by Castin and by Blume et al. in the limit where the s-wave scattering length goes to infinity. To explore another type of unitarity limit, we have derived numerical results for the regime where the p-wave scattering volume approaches infinity. This exploration has also considered different interactions between the atoms in different spin states, for example, the case where the two spin-up fermions have a p-wave interaction but where a spin-up atom interacting with a spin-down atom has a strong s-wave interaction. There are universal states that can be derived for both of the above two cases. Time permitting, this work may also analyze the rates for three-body recombination and atom-dimer dissociation in the limit of a large p-wave scattering volume for such systems involving three fermionic atoms.
This work was supported in part by NSF.- Publication:
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APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts
- Pub Date:
- 2020
- Bibcode:
- 2020APS..DMPE01114C