## SciPost Submission Page

# Derivation of Relativistic Yakubovsky Equations under PoincarĂ© Invariance

### by Hiroyuki Kamada

### Submission summary

As Contributors: | Hiroyuki Kamada Hiroyuki |

Arxiv Link: | https://arxiv.org/abs/1910.11920v1 |

Date accepted: | 2020-01-08 |

Date submitted: | 2019-10-29 |

Submitted by: | Hiroyuki, Hiroyuki Kamada |

Submitted to: | SciPost Physics Proceedings |

Proceedings issue: | 24th European Few Body Conference (University of Surrey, U.K.) |

Discipline: | Physics |

Subject area: | Nuclear Physics - Theory |

Approaches: | Theoretical, Computational |

### Abstract

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.

###### Current status:

Editorial decision:
For Journal SciPost Physics Proceedings: Publish

(status: Editorial decision fixed and (if required) accepted by authors)

### Submission & Refereeing History

## Reports on this Submission

### Anonymous Report 1 on 2020-1-24 Contributed Report

### Report

This paper deals with the derivation of the relativistic four-body Yakubovsky equations, building on the author's (and others') previous work of transforming the (three-body) Fadeev equations to a relativistic framework. The paper is well-written, though necessarily dense in formalism. It is a useful statement of the derivations and the final results of the relativistic equations and should be published in the proceedings. The language has many small errors, but is a readable kind of English as found in scientific papers and will cause no problem in understanding on the part of the reader.