English

An alternative scheme for effective range corrections in pionless EFT

High Energy Physics - Phenomenology 2022-01-05 v1 High Energy Physics - Lattice Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2109.11982,
  title  = {An alternative scheme for effective range corrections in pionless EFT},
  author = {M. Ebert and H. -W. Hammer and A. Rusetsky},
  journal= {arXiv preprint arXiv:2109.11982},
  year   = {2022}
}
R2 v1 2026-06-24T06:17:52.429Z