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Uncertainty in mean $X_{\rm max}$ from diffractive dissociation estimated using measurements of accelerator experiments

by Ken Ohashi, Hiroaki Menjo, Takashi Sako, Yoshitaka Itow

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Submission summary

Authors (as registered SciPost users): Ken Ohashi
Submission information
Preprint Link: https://arxiv.org/abs/2208.04645v1  (pdf)
Date submitted: 2022-08-10 09:22
Submitted by: Ohashi, Ken
Submitted to: SciPost Physics Proceedings
Proceedings issue: 21st International Symposium on Very High Energy Cosmic Ray Interactions (ISVHECRI2022)
Ontological classification
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
Approach: Experimental

Abstract

Mass composition is important for understanding the origin of ultra-high-energy cosmic rays. However, interpretation of mass composition from air shower experiments is challenging, owing to significant uncertainty in hadronic interaction models adopted in air shower simulation. A particular source of uncertainty is diffractive dissociation, as its measurements in accelerator experiments demonstrated significant systematic uncertainty. In this research, we estimate the uncertainty in $\langle X_{\rm max}\rangle$ from the uncertainty of the measurement of diffractive dissociation by the ALICE experiment. The maximum uncertainty size of the entire air shower was estimated to be $^{+4.0}_{-5.6}~\mathrm{g/cm^2}$ for air showers induced by $10^{17}$~eV proton, which is not negligible in the uncertainty of $\langle X_{\rm max}\rangle$ predictions.

Current status:
Has been resubmitted

Reports on this Submission

Report #1 by Yasushi Muraki (Referee 1) on 2022-8-24 (Invited Report)

  • Cite as: Yasushi Muraki, Report on arXiv:2208.04645v1, delivered 2022-08-24, doi: 10.21468/SciPost.Report.5575

Report

I have once again read this paper and checked the numbers given in section 4. Espexcially the numbers given in line 7 to 9 from the bottom of page 3. The number seems to be inconsistent each other. I recomend to the authors, once again check the numbers.
single diffractive double diffractive
ALICE experiment 14.9mb 9.0mb
EPOS prediction 3.4mb 9.6 mb
SYBILL prediction 4.5mb 17.2mb according Ohash Sigma inelastic collision 73.2 mb Then the ratio R_data/MC
EPOS 0.23 0.94
SIBYLL 0.30 0.52
Ohashi provided the nubers in page 3 line 7-9 from the bottom
EPOS 1.95 0.54
SIBYLL 1.85 0.38
After fixing this problem, the paper is worthwhile to be published.

Requested changes

page 2 line 8, ALICE should be included-->
using the definitions in the ALICE experiment,
page 4 line 4 from the boottom , ALICE should be uncluded.
the result of SD in the ALICE experiment

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Author:  Ken Ohashi  on 2022-09-27  [id 2856]

(in reply to Report 1 by Yasushi Muraki on 2022-08-24)

Dear Muraki-san,

Thank you for your comments.
We updated the manuscripts.
Here are the answers to your questions and comments.

I have once again read this paper and checked the numbers given in section 4. Espexcially the numbers given in line 7 to 9 from the bottom of page 3. The number seems to be inconsistent each other. I recomend to the authors, once again check the numbers.
single diffractive double diffractive
ALICE experiment 14.9mb 9.0mb
EPOS prediction 3.4mb 9.6 mb
SYBILL prediction 4.5mb 17.2mb according Ohash Sigma inelastic collision 73.2 mb Then the ratio R_data/MC
EPOS 0.23 0.94
SIBYLL 0.30 0.52
Ohashi provided the nubers in page 3 line 7-9 from the bottom
EPOS 1.95 0.54
SIBYLL 1.85 0.38
After fixing this problem, the paper is worthwhile to be published.

Answer:
The ALICE paper reported cross-sections for proton-proton collisions, while numbers in table 3 showing for proton air nucleus collisions.
We first calculated the ratio RData/MC from the proron-proton collision, then we applied it to the proton-air nucleus collision. We assume the proton-nucleus collision modeling in EPOS-LHC and SIBYLL 2.3. Differences of modeling between EPOS-LHC and SIBYLL 2.3 were considered in the uncertainty of <X_{\rm max} >.
Therefore, the numbers in table 3 were calculated by applying the ratio RData/MC to cross-sections of proton-air nucleus collisions.
We revised the descriptions in Section 4 to make this point clear.

Requested changes
page 2 line 8, ALICE should be included-->
using the definitions in the ALICE experiment,
-> Answer: we applied this modification.

page 4 line 4 from the boottom , ALICE should be uncluded.
the result of SD in the ALICE experiment
-> Answer: we applied this modification.

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Comments

Anonymous on 2022-08-19  [id 2739]

The discussions provided in Section 5.1 of page 4 provided a confusion.
According to the paper of Alice group
(Eur Phys. J.C (2013) 73:2456)(Your reference numbre is [4]),
The single diffrcative process to ineleastic cross section
is estimated as 0.20 and DD is estimated as 0.12.
On the other hand, you provided the related numbers in Table 3
as 4.3+1.9 and 23.5. For the single diffractive collsion process,
your estimation is half , while for DD process your value is twice high.
Please give appropriate explanation on this point.

*) The Tbale 3 captiions, is better to write clearly as;
Fractions of air showers at the first intercation are categorized
by following the definition of the ALICE experiment.

*) page 1 reference [1]. The Auger project should be cited.
*) page 2 the last line. The threshold rapidity gap was set at 1.5
in the laboratory system.

Anonymous on 2022-09-27  [id 2855]

(in reply to Anonymous Comment on 2022-08-19 [id 2739])

Thank you for your comments.


The discussions provided in Section 5.1 of page 4 provided a confusion.
According to the paper of Alice group
(Eur Phys. J.C (2013) 73:2456)(Your reference numbre is [4]),
The single diffrcative process to ineleastic cross section
is estimated as 0.20 and DD is estimated as 0.12.
On the other hand, you provided the related numbers in Table 3
as 4.3+1.9 and 23.5. For the single diffractive collsion process,
your estimation is half , while for DD process your value is twice high.
Please give appropriate explanation on this point.

Answer :
The ALICE paper reported cross-sections for proton-proton collisions, while numbers in table 3 showing for proton air nucleus collisions.
We first calculated the ratio RData/MC from the proron-proton collision, then we applied it to the proton-air nucleus collision. We assume the proton-nucleus collision modeling in EPOS-LHC and SIBYLL 2.3. Differences of modeling between EPOS-LHC and SIBYLL 2.3 were considered in the uncertainty of <X_{\rm max} >.
We revised the descriptions in Section 4 to make this point clear.

*) The Tbale 3 captiions, is better to write clearly as;
Fractions of air showers at the first intercation are categorized
by following the definition of the ALICE experiment.
-> Answer: we applied this modification.
*) page 1 reference [1]. The Auger project should be cited.
-> Answer: we applied this modification.
*) page 2 the last line. The threshold rapidity gap was set at 1.5
in the laboratory system.
-> Answer: we applied this modification.