Abstract
A three-particle quantization condition on the lattice is written down in a manifestly relativistic-invariant form by using a generalization of the non-relativistic effective field theory (NREFT) approach. Inclusion of the higher partial waves is explicitly addressed. A partial diagonalization of the quantization condition into the various irreducible representations of the (little groups of the) octahedral group has been carried out both in the center-of-mass frame and in moving frames. Furthermore, producing synthetic data in a toy model, the relativistic invariance is explicitly demonstrated for the three-body bound state spectrum.
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Müller, F., Pang, JY., Rusetsky, A. et al. Relativistic-invariant formulation of the NREFT three-particle quantization condition. J. High Energ. Phys. 2022, 158 (2022). https://doi.org/10.1007/JHEP02(2022)158
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DOI: https://doi.org/10.1007/JHEP02(2022)158