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Description
This work investigates the possible existence of a bound state of the 21C carbon isotope. This nucleus is suggested to possibly exist as a weakly bound neutron halo. The 20C and the 22C carbon isotopes have already been confirmed as weakly bound halo nuclei near the neutron drip line. Despite advancements in research technologies, the characteristics, structures, and reaction dynamics of these nuclei are not completely understood. The study investigates a possible correlation between the ground-state root-mean-square radii and ground-state energies of the three carbon isotopes. The systems were treated as three-body systems with a core and two valence neutrons. The Faddeev equations for the systems were solved in the hyperspherical harmonics approach.
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