Description of continuum structures in a discrete basis: Three-body resonances and two-nucleon decays

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the \boldsymbol{^9}9Be nucleus, showing a good agreement with the available data for its low-lying dipole response. Then, recent results on the structure and decay of the two-neutron emitters \boldsymbol{^{26}}26O and \boldsymbol{^{16}}16Be are presented. In particular, the role of the \boldsymbol{n}𝐧-\boldsymbol{n}𝐧 correlation in shaping their properties is discussed.

Studying of the Nucleus-Nucleus Interaction Using Wave Function of the Nucleus and Hyperspherical Formalism

The current study presents the results of the use of the wave function of a nucleus in place of the nucleus density distribution to calculate the nucleus-nucleus interaction potential. The wave function is obtained by solving the D-dimensional wave equation using the hyperspherical formalism. The interaction potential between two nuclei is calculated using the double folding model. The numerical results for the interaction potential and the scattering cross section are presented to evaluate the formalism used to calculate the nucleus wave function.

MICROSCOPIC STUDY OF THREE-BODY SCATTERING STATES

We investigate continuum states of the α+n+n and α+p+p systems using a microscopic three-cluster model in the hyperspherical formalism. The A-nucleon wave functions are defined in the generator coordinate method (GCM). The R-matrix method is used to connect the wave functions to their exact asymptotic behaviors and to derive the collision matrix. We present the three-body phase shifts of the 0+ and 1- continuum of the α+n+n and α+p+p systems.