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

### 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:
Has been resubmitted

### Submission & Refereeing History

Resubmission 1910.09826v2 on 16 December 2019
Submission 1910.09826v1 on 23 October 2019

## 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.
- 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.

• validity: good
• significance: good
• originality: ok
• clarity: low
• formatting: reasonable
• grammar: below threshold