Puzzle of the Core–halo (9Li–11Li) Nuclei at Various Incident Energies and Nuclear Matter Radii

This work is devoted to study the structural and reactional properties of the prototypical
example of the core–halo (9Li–11Li) nuclei. The halo nucleus 11Li consists of a central core
of 9Li surrounded by 2n–halo with very low separation energy ε2n= 378±5 KeV, reflecting the
huge calculated root mean square radius value 4.11 fm. The elastic scattering potential at low
and intermediate incident energies was a puzzle for decades of research on nuclear reactions.
Single– and double–folding potentials describing the elastic scattering of 11Li from the proton
and 12C, based on different effective interactions were constructed. Systematic comparison
between the considered methods in terms of the renormalization coefficients is done. Based
on the considered methods, the obtained potentials doesn’t need any renormalization in
case of using real folding potential together with phenomenological imaginary potential
and merely need renormalization almost approach unity in case of using complex folding
potential to fit the total reaction cross sections and angular distributions along the measured
data. Furthermore, correlations between real volume integrals and nucleon incident energies
for the neutron drip–line 11Li nucleus were proven along the whole scale of energies