München 2019 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 40: Hadron Structure and Spectroscopy VI

HK 40.2: Talk

Wednesday, March 20, 2019, 17:00–17:15, HS 13

Toplogical effect for three-particle problems in a box — •Martin Ebert¹ and Hans-Werner Hammer^{1, 2} — ¹IKP, TU Darmstadt — ²EMMI, GSI Darmstadt

The binding energy of bosonic three-particle systems in a box is investigated with an effective field theory. The finite volume corrections to the binding energy are calculated perturbatively in inverse powers of box size L. Besides the effect described by Lüscher [1], special interest is given to the influence of the topological effect [2]. It describes the possibility of a composite particle leaving the finite volume through periodic boundaries. We show that this effect can be neglected at LO and becomes important at NLO. The analytic results are compared to numerical calculations analogous to [3].
* Supported by HGS-HIRe.

[1] M. Lüscher, Nucl. Phys. B 354, 531 (1991)

[2] S. Bour et al., Phys. Rev. D 84, 091503 (2011)

[3] M. Döring et al., Phys. Rev. D 97, 114508 (2018)