Corpus ID: 235795514

Scattering Hypervolume of Spin-Polarized Fermions

@inproceedings{Wang2021ScatteringHO,
title={Scattering Hypervolume of Spin-Polarized Fermions},
author={Zipeng Wang and Shina Tan},
year={2021}
}
We analyze the collision of three identical spin-polarized fermions at zero collision energy, assuming arbitrary finite-range potentials, and define the corresponding three-body scattering hypervolume DF . The scattering hypervolume D was first defined for identical bosons in 2008 by one of us. It is the three-body analog of the two-body scattering length. We solve the three-body Schrödinger equation asymptotically when the three fermions are far apart or one pair and the third fermion are far… Expand

References

SHOWING 1-10 OF 34 REFERENCES
Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of this wave functionExpand
Three-body spin mixing in spin-1 Bose-Einstein condensates
• Physics
• Physical Review A
• 2021
We study zero-energy collisions between three identical bosons with spin f = 1 interacting via pairwise potentials. We quantify the corresponding three-body scattering hypervolumes, which parametrizeExpand
Scattering hypervolume for ultracold bosons from weak to strong interactions
• Physics
• 2019
The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume D. We study this quantity forExpand
Three fully polarized fermions close to a p-wave Feshbach resonance
• Physics
• 2008
We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channelExpand
Universality in few-body systems with large scattering length
• Physics
• 2006
Abstract Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at shortExpand
Nondivergent pseudopotential treatment of spin-polarized fermions under one- and three-dimensional harmonic confinement
• Physics
• 2004
Atom-atom scattering of bosonic one-dimensional (1D) atoms has been modeled successfully using a zero-range $\ensuremath{\delta}$-function potential, while that of bosonic 3D atoms has been modeledExpand
Scaling Law for Three-Body Collisions of Identical Fermions with p-Wave Interactions.
• Physics, Medicine
• Physical review letters
• 2018
The threshold behavior and scattering length scaling law of the three-body loss coefficients in an ultracold spin-polarized gas of ^{6}Li atoms near a p-wave Feshbach resonance are experimentally confirmed. Expand
Quantum corrections to the energy density of a homogeneous Bose gas
• Physics
• 1997
AbstractQuantum corrections to the properties of a homogeneous interacting Bose gas at zero temperature can be calculated as a low-density expansion in powers of $\sqrt {\rho a^3 }$ , where ρ is theExpand
Three-body scattering hypervolumes of particles with short-range interactions
• Physics
• 2017
The low-energy scattering of three bosons or distinguishable particles with short-range interactions is characterized by a fundamental parameter, the three-body scattering hypervolume. Its imaginaryExpand
Analytical solutions for two atoms in a harmonic trap: p-wave interactions
We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-waveExpand