By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.
Efimov physics in a finite volume
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abstract
Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body states called "Efimov states" and log-periodic dependence of scattering observables on the scattering length. We investigate the modification of the Efimov states in a finite cubic box and calculate the dependence of their energies on the box size using effective field theory. We explicitly verify the renormalization of the effective field theory in the finite volume.
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Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections
By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.