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Calculation of asymptotic normalization coefficients in the complexranged Gaussian basis
by D. A. Sailaubek, O. A. Rubtsova
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Submission summary
As Contributors:  Dinmukhamed Sailaubek 
Arxiv Link:  https://arxiv.org/abs/1910.12030v1 (pdf) 
Date accepted:  20191122 
Date submitted:  20191029 01:00 
Submitted by:  Sailaubek, Dinmukhamed 
Submitted to:  SciPost Physics Proceedings 
Proceedings issue:  24th European Few Body Conference (University of Surrey, U.K.) 
Academic field:  Physics 
Specialties: 

Abstract
A new technique towards finding asymptotic normalization coefficients in the complexranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function from the origin up to the far asymptotic distances, which allows to extract ANCs rather accurately. The method is illustrated by calculations of singleparticle ANCs for nuclei bound states in cases of nonlocal nucleonnucleus interactions, in particular, phenomenological global potentials with the PereyBuck's nonlocality.
Published as SciPost Phys. Proc. 3, 043 (2020)
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 1 on 20191029 (Invited Report)
 Cite as: Anonymous, Report on arXiv:1910.12030v1, delivered 20191029, doi: 10.21468/SciPost.Report.1271
Report
Dear Editor,
in this contribution to the proceedings of the European FewBody conference, Sailaubek and Rubtsova presents an original technique to compute the ANC of nuclear bound states described as a valence nucleon bound to a core. This method using a complexrange Gaussian basis is valid for both local an nonlocal interactions, which makes it particularly attractive.
The text is well written and should definitely be included within these proceedings. I have only three minor comments:
1. In (8), albeit evident, H_nn’ is not properly defined.
2. In (10), \phi_n’l should depend on (r’), I guess.
3. In the first line of Sec.3, I suggest to write: « we assume that the proton is captured by 12C in the in the 1p1/2 orbital to form the ground state of 13N. »
I assume that the proton is initially in an s continuum wave.
Author: Dinmukhamed Sailaubek on 20191113 [id 646]
(in reply to Report 1 on 20191029)
Dear Editors, We are grateful to the referee for useful comments and suggestions. In the new version, we made some minor corrections which are listed below. 1) According to the referee's suggestion, we have included an explicit formula for the Hamiltonian matrix prior to the eq.(8). 2) We have corrected the misprint in eq. (10) and also some other misprints throughout the text. 3) We also agree with the referee that the first sentence of Section 3 was not quite clear. It should be mentioned here that the relative momentum of the proton and 12C core is equal to 1 and the final nucleus has negative parity. Finally, we have rewritten this sentence according to the referee's suggestion.
Dinmukhamed Sailaubek on 20191113 [id 645]
Dear Editors, We are grateful to the referee for useful comments and suggestions. In the new version, we made some minor corrections which are listed below. 1) According to the referee's suggestion, we have included an explicit formula for the Hamiltonian matrix prior to the eq.(8). 2) We have corrected the misprint in eq. (10) and also some other misprints throughout the text. 3) We also agree with the referee that the first sentence of Section 3 was not quite clear. It should be mentioned here that the relative momentum of the proton and 12C core is equal to 1 and the final nucleus has negative parity. Finally, we have rewritten this sentence according to the referee's suggestion.