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Bethe-Salpeter Approach to Three-Body Bound States with Zero-Range Interaction

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Recent Progress in Few-Body Physics (FB22 2018)

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Abstract

The relativistic three-boson system with zero-range interaction has recently been investigated by our group by using the valence Light-Front and the four-dimensional Euclidean Bethe-Salpeter equations. We review some results from those studies, focusing on the impact of higher-Fock contributions on the computed physical quantities. Furthermore, we have also solved the Bethe-Salpeter equation by direct integration in Minkowski space and some first results from these calculations are presented. A full solution in Minkowski space is important since it gives direct access to dynamical observables such as electromagnetic form factors and momentum distributions. The obtained results are in fair agreement with the ones computed in Euclidean when the comparison is suitable.

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Acknowledgements

We are grateful to Jaume Carbonell for stimulating discussions. E.Y. thanks for the financial support of the grant #2016/25143-7 from Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). J.H.A.N. acknowledges the support of the grants #2014/19094-8 and #2017/14695-1, and V.A.K. of the grant #2015/22701-6, from FAPESP. T.F. thanks the Brazilian funding agencies CNPq, CAPES, FAPESP ( grant #17/05660-0) and Project INCT-FNA Proc. No. 464898/2014-5.

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Correspondence to E. Ydrefors .

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Ydrefors, E., Nogueira, J.A., Karmanov, V., Frederico, T. (2020). Bethe-Salpeter Approach to Three-Body Bound States with Zero-Range Interaction. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_106

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