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      Three-body problem in heteronuclear mixtures with resonant interspecies interaction

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          Abstract

          We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which we then solve numerically. We also develop an alternative approach which gives analytic solutions of the integral equation in coordinate representation in the limit of vanishing total energy. The atom-dimer scattering length, the rates of atom-dimer relaxation and three-body recombination to shallow and to deep molecular states are calculated either analytically or numerically with a well controlled accuracy for various energies as functions of the mass ratio, scattering length, and three-body parameter. We discuss in detail the relative positions of the recombination loss peaks, which in the universal limit depend only on the mass ratio. Our results have implications for ongoing and future experiments on Bose-Bose and Bose-Fermi atomic mixtures.

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          Recombination of Three Atoms in the Ultracold Limit

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            Low-Energy Recombination of Identical Bosons by Three-Body Collisions

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              Collisional stability of a three-component degenerate Fermi gas

              We report on the creation of a degenerate Fermi gas consisting of a balanced mixture of atoms in three different hyperfine states of \(^6\)Li. This new system consists of three distinguishable Fermions with different and tunable interparticle scattering lengths \(a_{12}\), \(a_{13}\) and \(a_{23}\). We are able to prepare samples containing \(5 \cdot 10^4\) atoms in each state at a temperature of about \(215 \)nK, which corresponds to \(T/T_F \approx 0.37\). We investigated the collisional stability of the gas for magnetic fields between 0 and 600 G and found a prominent loss feature at 130 G. From lifetime measurements we determined three-body loss coefficients, which vary over nearly three orders of magnitude.
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                Author and article information

                Journal
                25 January 2010
                2010-05-25
                Article
                10.1103/PhysRevA.81.042715
                1001.4371
                21169ee8-b5e7-495f-9b00-4e2ef8f3b208

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                HISKP-TH-09/36
                Phys.Rev.A81:042715,2010
                13 pages, 8 figures, minor changes, published version
                cond-mat.quant-gas nucl-th

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