# Derivation of relativistic Yakubovsky equations under Poincaré invariance

@article{Kamada2019DerivationOR, title={Derivation of relativistic Yakubovsky equations under Poincar{\'e} invariance}, author={Hiroyuki Kamada}, journal={arXiv: Nuclear Theory}, year={2019} }

Relativistic Faddeev-Yakubovsky four-nucleon scattering equations are derived including a 3-body force. We present these equations in the momentum space representation. The quadratic integral equations using the iteration method, in order to obtain boosted potentials and 3-body force, are demonstrated.

#### One Citation

A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme

- Physics, Medicine
- Scientific Reports
- 2020

The authors' calculations show that the relativistic effects lead to a roughly 2% reduction in the three-body binding energy. Expand

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