Halo EFT calculation of charge form factor for two-neutron halo nucleus: two-body resonant P-wave interaction

S. Jesri; M. Moeini Arani; S. Bayegan

doi:10.1140/epja/s10050-021-00352-8

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2024 Impact factor 2.8

Hadrons and Nuclei

Eur. Phys. J. A (2021) 57: 39
https://doi.org/10.1140/epja/s10050-021-00352-8

Regular Article – Theoretical Physics

Halo EFT calculation of charge form factor for two-neutron $^{6} He$ ${}^{6}\text {He}$ halo nucleus: two-body resonant P-wave interaction

S. Jesri, M. Moeini Arani and S. Bayegan^c

Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran

^c bayegan@ut.ac.ir

Received: 27 August 2020
Accepted: 6 January 2021
Published online: 28 January 2021

Abstract

We take a new look at $^{6} He$ $^{6}\text {He}$ halo nucleus and set up a halo effective field theory at low energies to calculate the charge form factor of $^{6} He$ ${}^{6}\text {He}$ system with resonant P-wave interaction. P-wave Lagrangian has been introduced and the charge form factor of $^{6} He$ ${}^{6}\text {He}$ halo nucleus has been obtained at Leading-Order. In this study, the mean-square charge radius of $^{6} He$ ${}^{6}\text {He}$ nucleus relative to $^{4} He$ ${}^{4}\text {He}$ core and the root-mean-square (r.m.s) charge radius of $^{6} He$ ${}^{6}\text {He}$ nucleus have been estimated as $⟨ r_{E}^{2} ⟩ = 1.408 {fm}^{2}$ $\langle r_{E}^{2}\rangle =1.408\; \text {fm}^{2}$ and ${⟨ r_{E}^{2} ⟩}_{^{6} H e}^{\frac{1}{2}} = 2.058 fm$ $\langle r_{E}^{2}\rangle _{{}^{6}He}^{\frac{1}{2}}=2.058 \;\text {fm}$ , respectively. We have compared our results with the other available theoretical and experimental data.