Supermultiplet potential model of the interaction of light clusters and unified description of various nuclear reactions

Recently it has been introduced, within the supermultiplet potential model, the lightest cluster A + B scattering phase shifts δL[f] (E). They depend strongly on the signature of the orbital Young tableau [f] and can be determined in polarization experiments. The differential cross sections of the deuteron spin-isospin flip into the singlet state are expressed in terms of these phase shifts. The extended data on the d + t → ds + t ((nn)s + h) (h ≡ 3He) reaction in the energy range Elab ∼ 20-40 MeV are analyzed as well as scarce data on the d + d → ds + ds ((nn)s + (pp)s) reaction. In particular, we discuss how to extract, e. g., the contribution of the t + ds state from the three-body continuum t + p + n data. Resultively, the experiment supports the supermultiplet theory based physically on the large difference in the strength of the potentials VL[41](R) and VL[32](R) or VL[4](R) and VL[22](R). In the same approach, it is suggested a simple explanation of the photonuclear reactions d + t → 5He + γ, 4He + γ → t + p (together with the charge-exchange reaction t + p → h + n), and 4He + γ → d + d. Finally we predict a number of the three-cluster near-threshold states like s3p4[f] = [331] (t + t + p), s3p5[f] = [332] (h + t + d), s4p5[f] = [432] (α + t + d), etc., which can be observed in various nuclear reactions