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Impact of uncertainties of unbound 10Li on the ground state of two-neutron halo 11Li

by Jagjit Singh and W. Horiuchi

This is not the current version.

Submission summary

As Contributors: Wataru Horiuchi · Jagjit Singh
Preprint link: scipost_201911_00043v1
Date submitted: 2019-11-28 01:00
Submitted by: Singh, Jagjit
Submitted to: SciPost Physics Proceedings
Proceedings issue: 24th European Few Body Conference (University of Surrey, U.K.)
Academic field: Physics
  • Nuclear Physics - Theory
Approach: Theoretical


Recently, the energy spectrum of 10Li was measured upto 4.6 MeV, via d(9Li, p)11Li, one-neutron transfer reaction. Considering the ambiguities on the 10Li continuum spectrum with reference to new data, we report the con guration mixing in the ground state of the two-neutron halo nucleus 11Li for two different choices of the 9Li+n potential. For the present study, we employ a three-body (core+n+n) structure model developed for describing the two-neutron halo system by explicit coupling of unbound continuum states of the subsystem (core+n), and discuss the two-neutron correlations in the ground state of 11Li.

Current status:
Has been resubmitted

Reports on this Submission

Report 1 by Eduardo Garrido on 2019-12-2 (Invited Report)

  • Cite as: Eduardo Garrido, Report on arXiv:scipost_201911_00043v1, delivered 2019-12-02, doi: 10.21468/SciPost.Report.1356


In this paper the authors investigate the properties of $^{11}$Li for two different choices of the $^{10}$Li-n potential.

The main remark I have refers actually to the choice made for the core-neutron potential. The two sets, A and B, use the same $p$-wave and $d$-wave potentials, which have the characteristic of using for both, $p$-waves and $d$-waves, a positive spin-orbit strength. This is reasonable for $p$-waves, since in this way the $p_{3/2}$ states are pushed up in energy, as it should be done to take care in some way of the Pauli principle (the $p_{3/2}$ shell is occupied by the neutrons in the core). However, if the same positive spin-orbit strength is used for the $d$-waves, the consequence is that the $d_{5/2}$ states will be higher than the $d_{3/2}$, which is very likely not right. In the text it is said that the $d_{5/2}$ resonance lies around 2.98 MeV. Since the spin-orbit strength is positive I guess there is a $d_{3/2}$ state below this energy. Is this correct? In any case some comments about this I believe are necessary.

Also, the two potential sets give rise to a quite different partial wave content in $^{11}$Li. Is there any conclusion by the authors concerning which of these two $^{11}$Li structures is more likely? Some comment about this, at least in the conclusions, would be welcome.

  • validity: -
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  • originality: -
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Author:  Jagjit Singh  on 2019-12-11  [id 672]

(in reply to Report 1 by Eduardo Garrido on 2019-12-02)
answer to question

Dear Referee, Thanks for taking time to read our manuscript. Please find below our reply on your remarks. 1. No, we use the standard spin-orbit interaction, that ensures the normal ordering of the d5/2 and d3/2 states. We will explicitly add "standard choice of spin orbit interaction" to the manuscript in section 3. 2. However our results show different configuration mixing for two different choices of core+n potential. In order to conclude which configuration is likely in the ground state of 11Li, we need further investigations of the reaction observables that are sensitive to partial wave content of the ground state. We will add the same in summary of manuscript.

We will submit revised manuscript soon. Best Regards Jagjit

Anonymous on 2019-12-12  [id 678]

(in reply to Jagjit Singh on 2019-12-11 [id 672])
answer to question

Dear E. Garrido,
Thanks for the question.
In our approach, all continuum single-particle states are orthogonal
to the redundant bound states. Our basis functions are free
from the Pauli forbidden states.
Best Regards

Eduardo Garrido  on 2019-12-11  [id 673]

(in reply to Jagjit Singh on 2019-12-11 [id 672])

Thank you for the reply. I can now see that a positive $V_{\ell s}$ is the standard spin-orbit interaction due to the additional minus sign that the $d/dr$ is actually producing. But then my question is about the $p$-states, since in this case there should be a $p_{3/2}$ state below the $p_{1/2}$, may be bound, that is Pauli forbidden. How is this taken into account?

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