Structure study of the exotic ⁷²Ca dripline nucleus

Recently, nuclear physicists have focused a lot of their attention on the nuclear landscape, especially the dripline region. There are nuclei with excess neutrons or excess protons on either side of the limit in the plot of Z (number of protons) vs. N (number of neutrons), a point will occur when no additional neutrons can be added to form a stable nucleus for a given Z. If we locate other such locations for different Z values, we will obtain a line linking those points that is referred to as a dripline. In this research, we investigated resonances in nuclei with at least one bound state as well as those without a bound ground state using a unique method. For this reason, the Hyperspherical Harmonic Expansion Method (HHEM) for few-body nuclear systems like ⁷²Ca will be used in conjunction with the Super Symmetric Quantum Mechanics (SSQM) formalisation. It is very difficult to solve the three-body Schrodinger equation for weakly bound exotic systems in a way that leads to a fully converged solution. On the other hand, this approach may be very beneficial for researching weakly bound states, continuum bound states, and resonances. The method presented here is robust one and can be applied to any weakly bound system in which the binding energies steadily converge as K_max values rise