Recombination in the universal four-fermion system
Abstract
In the systems of spin fermions with resonant -wave interactions supporting only weakly bound dimers the antisymmetry forbids recombination of three (or more) fermions at zero energy. However, the fermion-fermion-dimer recombination is only partially suppressed. It is studied in the framework of momentum-space integral equations for the four-particle transition operators. In the vicinity of the unitary limit the fermion-fermion-dimer recombination rate, rescaled to build dimensionless quantity, is found to be linear in the effective range parameter, enabling a simple and accurate parametrization as well as evaluation of finite-range effects for any potential model. This feature makes the present results very useful in benchmarking different methods for three-cluster breakup and recombination calculations in four-particle systems. The interplay of the three-fermion and fermion-fermion-dimer recombination processes and their consequences for ultracold mixtures of fermions and dimers is discussed.
Cite
@article{arxiv.2105.09033,
title = {Recombination in the universal four-fermion system},
author = {A. Deltuva},
journal= {arXiv preprint arXiv:2105.09033},
year = {2021}
}
Comments
modified definition of the recombination rate