An alternative scheme for effective range corrections in pionless EFT

Abstract

We discuss an alternative scheme for including effective range corrections in pionless effective field theory. The standard approach treats range terms as perturbative insertions in the T -matrix. In a finite volume this scheme can lead to singular behavior close to the unperturbed energies. We consider an alternative scheme that resums the effective range but expands the spurious pole of the T -matrix created by this resummation. We test this alternative expansion for several model potentials and observe good convergence.

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Cited by in corpus (6)

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• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Spurious poles in a finite volume
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume
• UV/IR symmetries of the $S$-matrix and RG flow
• Model-independent mass determination of near-threshold states from short-range production