Spurious poles in hadronic three-particle problems
ORAL
Abstract
The particle-dimer picture is a useful tool to simplify the three-particle problem by including information about the two-particle system. However, in higher orders the dimer propagator can exhibit spurious poles. We present a non-perturbative approach to deal with this problem and compare to fully perturbative schemes. The proposed approach might prove to be more convenient for the generalization in a finite volume. The method is tested with a Yamaguchi model potential.
*M.E. and H.H. acknowledge the support from the DFG (German Research Foundation) (CRC 1245 ``Nuclei: From Fundamental Interactions to Structure and Stars'') and from HGS-HIRe, A.R. acknowledges the support from the DFG (CRC 110 ``Symmetries and the Emergence of Structure in QCD''), as well as from Volkswagenstiftung under contract no. 93562.
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