Abstract. A large two-body scattering length leads to universal behavior in few-body systems. In particular, the three-body system displays interesting features such as exact discrete scale invariance in the bound state spectrum in the limit of infinite scattering length. Here, I will discuss how an effective field theory (EFT) can be used to study these features and how the finite range of the underlying interaction impacts the bound state spectrum at first order in the EFT expansion. 1

Dec 3, 20124 citations

arXiv:nucl-th/0610071 · Nuclear Physics A

Effective range corrections in few-body systems with large scattering length

Lucas Platter

Published Jun 1, 2007• 0 citations

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DOI: 10.1016/j.nuclphysa.2007.03.142

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Few-body systems with large scattering length

a

have universal properties that do not depend on the details of their interactions at short distances. The rate constant for three-body recombination of bosonic atoms of mass

m

into a shallow dimer scales as $\ensuremath{\hbar}{a}^{4}∕m$ times a log-periodic function of the scattering length. We calculate the leading and subleading corrections to the rate constant, which are due to the effective range of the atoms, and study the correlation between the rate constant and the atom-dimer scattering length. Our results are applied to

^{4}\mathrm{He}

atoms as a test case.