Three-body description of 12C: From the hyperspherical formulation to the algebraic cluster model and its application to α + 12C inelasticscattering

Form factors for α+12C inelastic scattering are obtained within two theoretical (α+α+α) approaches:The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the D3h symmetry of an equilateral triangle subject to rotations and vibrations. Results show a good agreement, with form factors involving the Hoyle state having a slightly larger extension within the hyperspherical approach. Coupled-channel calculations using these form factors are ongoing.

Electromagnetic properties of nonstrange Baryons in a nonrelativistic quark model

Masses and magnetic moments of [Formula: see text] and [Formula: see text] resonances are calculated employing the hyperspherical approach. We extend our scheme to obtain the helicity amplitudes and transition magnetic moments of the [Formula: see text] process. We also compute the radiative decay widths and branching ratios of [Formula: see text] baryons. A comparison of our results with the predictions obtained in recent theoretical models is also presented.

HYPERSPHERICAL APPROACH TO STUDY THE SCHRÖDINGER EQUATION FOR AN N-PARTICLE SYSTEM

In the present work we give an exact analytical solution of the Schrödinger equation for an N-particle system by using the hyperspherical approach, in the presence of the hypercentral potential of form V(R) = a1R2+b1R-4+c1R-6 for both the ground state and the excited states.