## SciPost Submission Page

# Four-Body Faddeev-Type Calculation of the $\bar{K}NNN$ System: Preliminary Results

### by N. V. Shevchenko

#### This is not the current version.

### Submission summary

As Contributors: | Nina Shevchenko |

Arxiv Link: | https://arxiv.org/abs/1910.09826v1 |

Date submitted: | 2019-10-23 |

Submitted by: | Shevchenko, Nina |

Submitted to: | SciPost Physics Proceedings |

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

Discipline: | Physics |

Subject area: | Quantum Physics |

Approach: | Theoretical |

### Abstract

The paper is devoted to the $\bar{K}NNN$ system, consisting of an antikaon and three nucleons. Four-body Faddeev-type AGS equations are being solved in order to find possible quasi-bound state in the system.

###### Current status:

### Submission & Refereeing History

## Reports on this Submission

### Anonymous Report 1 on 2019-12-9 Invited Report

- Cite as: Anonymous, Report on arXiv:1910.09826v1, delivered 2019-12-09, doi: 10.21468/SciPost.Report.1380

### Report

SciPost Physics Proceedings

``Four-Body Faddeev-Type Calculation of the K̄ N N N System:

Preliminary Results''

by

N. V. Shevchenko

Studying the binding energies of mesonic nuclei is an important and active

field of research. In that, few-body systems where accurate numerical calculations can be carried out, play a special role. In the current manuscript the author reports on the development of a new 4-body code solving the AGS

equations for the KbarNNN system.

The paper is rather technical, and present two model calculations predicting a very deep 4-body bound state. After some modifications I believe that it can be published on SciPost Physics.

First of all, in Sec. 4 the author writes ``very preliminary results for ...''

and further down ``The results differ from those shown at the conference''.

These remark convey no confidence in the reported results. I advice the author

to either remove these remarks is she trust her results or remove Sec. 4 all-together, and report the results when she gain full confidence in her code.

On top of this, here few more minor comments:

- In the introduction the author writes ``more accurate calculations are needed'', but no argument is given. Does she suspects there is an error in the

reported results? does she has a better input?

- ``separabelize'' is not a word. Same for its derivatives.

- The second term in Eq. (15) is just a delta function.

- The argument why the EDPA is accurate enough and under what condition should be presented. This is clearly not a general truth.

- Rephrase ``At the begin we''.

- Eq. (17), the channels are not defined.

- What about 3-body interactions?

- Sec. 3.1 `` three our separable'' --> ``three separable''.

- There. A ref. to the potentials is missing.

- The fitted AV18 NN interaction - in what energy range does the fitted interaction reproduce the data?

- End of 3.2 ASG--> AGS

- If Sec. 4 is included in the manuscript comparison with other published works must be included and discussed.