Matter density distribution and longitudinal form factors for the ground and excited states of 17Ne exotic nucleus

Abstract

The two-frequency shell model approach is used to calculate the
ground state matter density distribution and the corresponding root
mean square radii of the two-proton¹⁷Ne halo nucleus with the
assumption that the model space of ¹⁵O core nucleus differ from the
model space of extra two loosely bound valence protons. Two
different size parameters bcore and bhalo of the single particle wave
functions of the harmonic oscillator potential are used. The
calculations are carried out for different configurations of the outer
halo protons in ¹⁷Ne nucleus and the structure of this halo nucleus
shows that the dominant configuration when the two halo protons in
the 1d_5/2 orbit (¹⁵O core plus two protons halo in pure 1d_5/2 orbit). The
calculated matter density distribution in terms of the two-frequency
shell model is compared with the calculated one in terms one size
parameter for all orbits to illustrate the effect of introducing one or
two size parameters in calculations. The longitudinal form factors for
elastic C0 and inelastic C2 electron scattering from 17Ne nucleus are
calculated for the considered configurations and for three states of
each configuration which are the ground state ( JT  1 2 3 2 ) and
the first two excited states ( JT  3 2 3 2 ) and ( JT  5 2 3 2 ).
The electric transition strengths B(C2) are calculated for the excited
states and for the effective nucleon charges which are used in this
work and compared with the experimental values.