Abstract
This brief communication presents the results of our work to study the movement of Efimov states in two-neutron halo nuclei. We discuss the emergence and evolution of Efimov states into resonances beyond the two-body (n–core) breakup threshold and also the movement of the Efimov state in a two-neutron halo nucleus to the region of the so-called Thomas collapse. We especially probe the roles of mass asymmetry of the three-body system (n–n–core) and the short range of the n–core interaction in the movement of the Efimov states. The analysis has been carried out within the framework of a three-body model, assuming two-body, non-local, separable potentials for the binary sub-systems, namely, the n–n and n–core systems. The primary motivation has been to scan the parameter space of the range parameter and determine the value(s) for which the system can support the Efimov states. The analysis shows that the value of the range parameter β = 5.2α (α being the energy parameter given in terms of the deuteron binding energy) produces the realistic three-body binding energy for 20C and also generates the excited Efimov states. However, as the value of β is increased corresponding to decrease in the range of the two-body (n–core) interaction the ground and excited state binding energies increase drastically. In other words, as the range of the two-body interaction tends to zero the system enters the Thomas collapse region away from the Efimov region.
Published Version
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