On the Efimov Effect in Higher Partial Waves

K. Helfrich; H. -W. Hammer

doi:10.1088/0953-4075/44/21/215301

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arXiv · 1107.0869

On the Efimov Effect in Higher Partial Waves

K. Helfrich·H. -W. Hammer

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Abstract

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum $L$, the two identical particles must be bosons or fermions. We derive analytical expressions for the elastic and inelastic atom-dimer scattering cross sections as well as the atom-dimer relaxation rate at the dimer breakup threshold. For the experimentally most relevant case of P-waves, we numerically calculate the atom-dimer scattering cross sections and relaxation rates as a function of the scattering length, three-body parameter, and mass ratio for energies away from the breakup threshold.

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BibTeX RIS

K. Helfrich, H. -W. Hammer. 2011-09-22. On the Efimov Effect in Higher Partial Waves. https://doi.org/10.1088/0953-4075%2F44%2F21%2F215301

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