2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/82367We present a fully microscopic three-cluster nuclear model for light nuclei on the basis of a J-Matrix approach. We apply the Modified J-Matrix method on $^{6}He$ and $^{6}Be$ for both scattering and reaction problems, analyse the Modified J-Matrix calculation, and compare the results to experimental data.43 pages 21 figures, submitted to "J-matrix method and its applications", A. Alhaidari et al, editors., N.Y.: Nova Science Publishers, IncNuclear Theorytext