Mainz 2022 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 62: Structure and Dynamics of Nuclei XI

HK 62.4: Talk

Thursday, March 31, 2022, 15:00–15:15, HK-H7

An alternative scheme for effective range corrections in pionless EFT — •Martin Ebert¹, Hans-Werner Hammer^1,2, and Akaki Rusetsky^3,4 — ¹IKP, TU Darmstadt — ²EMMI, GSI Darmstadt — ³HISKP and BCTP, Universität Bonn — ⁴Tbilisi State University

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.
*This work has been supported by Deutsche Forschungsgemeinschaft (Project ID 279384907, SFB 1245 and Project-ID 196253076, TRR 110), Volkswagenstiftung (grant no. 93562) and the Chinese Academy of Sciences (grant no. 2021VMB0007, PIFI).