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Electric structure of shallow D-wave states in Halo EFT

Braun, J. ; Elkamhawy, W. ; Roth, R. ; Hammer, H.-W. (2019)
Electric structure of shallow D-wave states in Halo EFT.
In: Journal of Physics G: Nuclear and Particle Physics, 46 (11)
doi: 10.1088/1361-6471/ab368f
Article, Bibliographie

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Abstract

We compute the electric form factors of one-neutron halo nuclei with shallow D-wave states up to next-to-leading order and the E2 transition from the S-wave to the D-wave state up to leading order in Halo effective field theory (Halo EFT). The relevant degrees of freedom are the core and the halo neutron. The EFT expansion is carried out in powers of Rcore/Rhalo, where Rcore and Rhalo denote the length scales of the core and the halo, respectively. We propose a power counting scenario for weakly-bound states in one-neutron Halo EFT and discuss its implications for higher partial waves in terms of universality. The scenario is applied to the 5/2⁺ first excited state and the 1/2⁺ ground state of ¹⁵C. We obtain several universal correlations between electric observables and use data for the E2 transition 5/2⁺ → 1/2⁺ together with ab initio results from the No-Core Shell Model to predict the quadrupole moment.

Item Type: Article
Erschienen: 2019
Creators: Braun, J. ; Elkamhawy, W. ; Roth, R. ; Hammer, H.-W.
Type of entry: Bibliographie
Title: Electric structure of shallow D-wave states in Halo EFT
Language: English
Date: 2019
Place of Publication: London
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics G: Nuclear and Particle Physics
Volume of the journal: 46
Issue Number: 11
Collation: 22 Seiten
DOI: 10.1088/1361-6471/ab368f
Corresponding Links:
Abstract:

We compute the electric form factors of one-neutron halo nuclei with shallow D-wave states up to next-to-leading order and the E2 transition from the S-wave to the D-wave state up to leading order in Halo effective field theory (Halo EFT). The relevant degrees of freedom are the core and the halo neutron. The EFT expansion is carried out in powers of Rcore/Rhalo, where Rcore and Rhalo denote the length scales of the core and the halo, respectively. We propose a power counting scenario for weakly-bound states in one-neutron Halo EFT and discuss its implications for higher partial waves in terms of universality. The scenario is applied to the 5/2⁺ first excited state and the 1/2⁺ ground state of ¹⁵C. We obtain several universal correlations between electric observables and use data for the E2 transition 5/2⁺ → 1/2⁺ together with ab initio results from the No-Core Shell Model to predict the quadrupole moment.

Uncontrolled Keywords: Halo nuclei, effective field theory, electromagnetic properties
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 28 Mar 2024 10:11
Last Modified: 28 Mar 2024 10:11
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