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Bound states in the B-matrix formalism for the three-body scattering

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arxiv 2010.08084 v2 pith:2YYWOMVQ submitted 2020-10-16 nucl-th hep-phhep-th

Sebastian M. Dawid , Adam P. Szczepaniak This is my paper
classification nucl-thhep-phhep-th
keywords b-matrixboundrelationsscatteringsingularitiesthree-bodyaccountchannels
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We consider a model of relativistic three-body scattering with a bound state in the two-body sub-channel. We show that the na\"ive K-matrix type parametrization, here referred to as the B-matrix, has nonphysical singularities near the physical region. We show how to eliminate such singularities by using dispersion relations and also show how to reproduce unitarity relations by taking into account all relevant open channels.

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  1. Symmetrizing relativistic three-body partial wave amplitudes

    hep-ph 2025-07 unverdicted novelty 6.0 of 10

    The authors derive spectator-symmetric three-body partial wave amplitudes using new recoupling coefficients for arbitrary angular momentum and isospin, and demonstrate them with 3π Dalitz distributions.

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