2022/05/09 by Higgins, Michael D., Greene, Chris H. · 1 citation
#Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2205.04564
This work analyzes the three and four equal-mass fermionic systems near and at the s- and p-wave unitary limits using hyperspherical methods. The unitary regime addressed here is where the two-body dimer energy is at zero energy. For fermionic systems near the s-wave unitary limit, the hyperradial potentials in the N-body continuum exhibit a universal long-range R-3 behavior governed by the s-wave scattering length alone. The implications of this behavior on the low energy phase shift are discussed. At the p-wave unitary limit, the four-body system is studied through a qualitative look at the structure of the hyperradial potentials at unitarity for the Lπ=0+ symmetry. A quantitative analysis shows that there are tetramer states in the lowest hyperradial potentials for these systems. Correlations are made between these tetramers and the corresponding trimers in the two-body fragmentation channels. Universal properties related to the four-body recombination process A+A+A+A↔ A3+A are discussed.