SciPost Submission Page

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

by N. V. Shevchenko

Submission summary

As Contributors: Nina Shevchenko
Arxiv Link: https://arxiv.org/abs/1910.09826v2
Date accepted: 2019-12-20
Date submitted: 2019-12-16
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.

Published as SciPost Phys. Proc. 3, 041 (2020)



Author comments upon resubmission

I am thankful to the referee for his/her report, but I cannot agree with all
his/her remarks. The first claim is that I present preliminary results. But
I would like to remind that this paper is a contribution to conference proceedings.
As far as I know, it is quite normal to present preliminary results at conferences
and publish them in the corresponding conference proceedings. When I "gain full
confidence", I will publish a paper in an impact journal.

Below there are my replies to "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?
\I cite 3 other papers: one was performed using many-body G-matrix method for
the three-body system, which is not well-grounded. In addition, AY potential, which
was used there, does not describe antiK N experimental data. Another is a variational
calculation, which evaluated only real part of the quasi-bound state using only
real part of the (necessarily) complex antiK N potential, while the width of the
state was somehow estimated after. The last one is a Faddeev-type AGS calculation,
which should be the most accurate one. But the authors used two my antiK N potentials
and obtained strongly different corresponding 4-body binding energies. Which I -
keeping my experience with my own three-body Faddeev-type calculations using these
potentials - cannot understand. That's why I am sure, that more accurate Faddeev-type
calculation is necessary. This explanation is too long and detailed for the introduction
of a conference paper, due to this I did not include it into the text of the paper.

- separabelize'' is not a word. Same for its derivatives.
\The sentences containing "separabelize" and its derivatives were reformulated.

- The second term in Eq. (15) is just a delta function.
\It is a delta function only at the fixed energy z=E_B, as is written
above Eq.(14). Energy z in Eqs.(14,15) is arbitrary.

- The argument why the EDPA is accurate enough and under what condition should
be presented. This is clearly not a general truth.
\Yes, it is not a general truth, that's why the sentence about accuracy of
the EDPA is started by "According to the authors, ..." (the authors of the method,
of cause, - I do not write about myself in such a way in the paper). The argument
is probably their results obtained using the EDPA and compared with the exact ones.

- Rephrase At the begin we''.
\Done: "We started by writing down the system Eq.(\ref{4AGSsepVT}) for $18$ channels
$\sigma_{\alpha}$ with $\alpha =$ $NN$ or $\bar{K}N$, considering three nucleons
as nonindentical particles:"

- Eq. (17), the channels are not defined.
\The channels are written in an explicit form in Eq.(17). Does the referee
insist on a special notation for every of them?

- What about 3-body interactions?
\"No three-body potentials were used since the four-body Faddeev-type equations
are too complicated in their original form with "normal" pair potentials already."
was added to the end of 3.1

- Sec. 3.1 three our separable'' --> three separable''.
\No: the potentials are ours since I had constructed them.

- There. A ref. to the potentials is missing.
\Thank you, added.

- The fitted AV18 NN interaction - in what energy range does the fitted interaction
reproduce the data?
\"... at low energies up to $500$ MeV ..." was added into the sentence starting
from "It reproduces Argonne v18"

- End of 3.2 ASG--> AGS
\Corrected

- If Sec. 4 is included in the manuscript comparison with other published works
must be included and discussed.
\Here the referee contradicts himself/herself: how can I include comparisons with other
results if I should (according to the referee) remove Section 4 completely - with all
my preliminary results?.. On the other hand, comparison of preliminary results with
others is of no use.

List of changes

The sentences containing "separabelize" and its derivatives were reformulated.

The sentence started "At the begin we" was rewritten:
"We started by writing down the system Eq.(\ref{4AGSsepVT}) for $18$ channels
$\sigma_{\alpha}$ with $\alpha =$ $NN$ or $\bar{K}N$, considering three nucleons
as nonindentical particles:"

"No three-body potentials were used since the four-body Faddeev-type equations
are too complicated in their original form with "normal" pair potentials already."
was added to the end of 3.1

References to the antiK N potentials were added to the 3rd sentence of 3.1.

"... at low energies up to $500$ MeV ..." was added into the sentence starting
from "It reproduces Argonne v18"

End of 3.2: ASG--> AGS was corrected

Submission & Refereeing History

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

Login to report or comment