Tensor Amplitudes for Partial Wave Analysis of $\mathit{\psi }\mathbf{\to }\mathbf{\Delta }\overline{\mathbf{\Delta }}$ within Helicity Frame

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The article's content is exciting, however, I have several comments below:

1. Please put a full stop in Eqs. (5), (8), (14), (36),  (44), (52), (60), (68), and (69)

2. Also please put "comma" in Eqs. (6), (7), (15)-(16), (23)-(35), (37)-(43), (45)-(51), (53)-(59), (61)-(67), (70), and (71).

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

See the attached file

Comments for author File: Comments.pdf

Comments on the Quality of English Language

Only minor corrections listed in the attached file.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

Report on the manuscript universe-3193356 "Tensor Amplitudes for Partial Wave Analysis of ψ → ∆ bar(∆) within Helicity Frame" by Xiang Dong, Kexin Su, Hao Cai, and Kai Zhu.

In the paper submitted to Universe the authros consider cascade decays of the charmonia into the baryon-antibaryon pair, which then decay into
baryon-antibaryon pair and two mesons.

The topic is interesting but the manuscript must be sufficiently improved.
First of all, it should be clearly stated if the authors consider only
Delta-antiDelta pairs in the intermediate stat or also nucleon-antinucleon
pairs. The amplitudes of the specific modes can be defined in more
general form, e.g. (final spinor) * (vertex function) * (intial spinor).
The vertex function can be defined in general form with all possible
Lorentz indices. All specific vertex functions can be tabulated in Appendix.
As soon as the transitions of Delta into nucleon and pion are well-known
phenomenologically and experimentally, some numerical analysis of the cascade decay of the charmonia states will be useful for readers.

I would like to ask the authors make a revision of their paper following
my critical remarks.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

I accept your decision of not putting the formulae in the appendix. Since all my suggestions were accepted and satisfied, I suggest to publish your paper and I congratulate with you for the big effort done in preparing this long set of amplitude formulae. 

Author Response

Dear Reviewer,

Thank you very much for your kind feedback and for accepting our decision regarding the formulae. We truly appreciate your thoughtful suggestions, all of which have been carefully considered and incorporated into our manuscript. 

We are grateful for your positive recommendation to publish the paper and for your encouraging words about the effort we put into preparing the amplitude formulae. Your support means a great deal to us.

Best regards,  
Xiang Dong

Reviewer 3 Report

Comments and Suggestions for Authors

Second report on the manuscript universe-3193356 "Tensor amplitudes for partial wave analysis of ψ → ∆ bar(∆) within helicity frame"by Xiang Dong , Kexin Su , Hao Cai , Kai Zhu.

The authors did not modify the accordingly to my recommendations. Many lengthy formula can be simplified. Also I insist that some numerical analysis will be important for present manuscript.

On the other hand, I am not in the position to reject the manuscript and propose that the Editors send it to another referee.

Author Response

Dear Reviewer,

We sincerely thank you for your thoughtful comments and constructive feedback on our manuscript. We have carefully reviewed each of your suggestions and, in the attached PDF, provided a detailed explanation of why we were only able to partially implement your recommendations during the revision process.

We deeply appreciate the time and effort you have dedicated to improving our work and hope our explanations address your concerns.

Thank you once again for your valuable input.

Best regards,  
Xiang Dong

Author Response File: Author Response.pdf