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Derivation of Relativistic Yakubovsky Equations under Poincaré Invariance

by Hiroyuki Kamada

This Submission thread is now published as SciPost Phys. Proc. 3, 003 (2020)

Submission summary

As Contributors: Hiroyuki Kamada Hiroyuki
Arxiv Link: (pdf)
Date accepted: 2020-01-08
Date submitted: 2019-10-29 01:00
Submitted by: Hiroyuki, Hiroyuki Kamada
Submitted to: SciPost Physics Proceedings
Proceedings issue: 24th European Few Body Conference (University of Surrey, U.K.)
Academic field: Physics
  • Nuclear Physics - Theory
Approaches: Theoretical, Computational


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.

Published as SciPost Phys. Proc. 3, 003 (2020)

Submission & Refereeing History

Published as SciPost Phys. Proc. 3, 003 (2020)

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Submission 1910.11920v1 on 29 October 2019

Reports on this Submission

Report 1 by Paul Stevenson on 2020-1-24 (Contributed Report)

  • Cite as: Paul Stevenson, Report on arXiv:1910.11920v1, delivered 2020-01-24, doi: 10.21468/SciPost.Report.1493


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.

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