Abstract

The matter, proton, and neutron density distributions of the ground state, the nuclear root-mean-square (rms) radii, and the elastic form factors of a two- neutron, 8He and 26F, halo nuclei have been studied by the three body model of within the harmonic oscillator (HO) and Woods-Saxon (WS) radial wave functions. The calculated results show that the two body model within the HO and WS radial wave functions succeeds in reproducing the neutron halo in these exotic nuclei. Moreover, the Glauber model at high energy (above several hundred MeV) has been used to calculate the rms radii and reaction cross sections of these nuclei.

Highlights

  • One of the most exciting discoveries in the recent experimental progress using radioactive nuclear beams is the neutron halo in some light neutron-rich nuclei [1,2]

  • The matter, proton, and neutron densities of the ground state, the nuclear rms radii, and elastic form factors of two- neutron, 8He and 26F, halo nuclei are studied by the three body model of within the harmonic oscillator (HO) and WS radial wave functions

  • Summary and conclusions The matter, proton, and neutron densities of the ground state, the nuclear rms radii, and elastic form factors of two- neutron, 8He and 26F, halo nuclei have been studied by the three body model of within the HO and WS radial wave functions

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Summary

Introduction

One of the most exciting discoveries in the recent experimental progress using radioactive nuclear beams is the neutron halo in some light neutron-rich nuclei [1,2]. The Woods-Saxon (WS) and Harmonic Oscillator (HO) potentials wave functions within the three-body model of will be used to study the matter, proton, and neutron densities of the ground state, the nuclear root-mean-square (rms) radii, and elastic form factors of twoneutron, 8He and 26F, halo nuclei. The Glauber model with an OLA will be used to calculate the matter rms radii and the reaction cross section of these nuclei.

Results
Conclusion
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