https://doi.org/10.1140/epja/s10050-021-00637-y
Regular Article - Theoretical Physics
An alternative scheme for effective range corrections in pionless EFT
1
Department of Physics, Technische Universität Darmstadt, 64289, Darmstadt, Germany
2
ExtreMe Matter Institute EMMI and Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291, Darmstadt, Germany
3
HISKP and BCTP, Rheinische Friedrich-Wilhelms Universität Bonn, 53115, Bonn, Germany
4
Tbilisi State University, 0186, Tbilisi, Georgia
a
mebert@theorie.ikp.physik.tu-darmstadt.de
Received:
5
October
2021
Accepted:
22
November
2021
Published online:
16
December
2021
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.
© The Author(s) 2021
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