Generalized potential-model description of mutual scattering of the lightestp+d,d+3He nuclei and the corresponding photonuclear reactions

For the problem of interaction between the lightest p+d, d${+}^3$He nuclei supermultiplet expansion of the reaction amplitude ${\mathit{T}}_{\mathit{L}\mathit{S}}$ is proposed. We have disclosed the nonpotential character of channels with S=1/2, where the scattering amplitude is written as a superposition of the potential amplitudes ${\mathit{T}}_{\mathit{L}}^{\left[\mathit{f}\right]}$ with different symmetries [f]. We have constructed the interaction potentials ${\mathit{V}}_{\mathit{L}}^{\left[\mathit{f}\right]}$, [f]=[21], [3] and [f]=[32], [41] for p+d and d${+}^3$He, respectively. The differential cross sections for p+d inelastic scattering with the deuteron spin-isospin flip, which correspond to the available experimental data in the low-energy region, are predicted at higher energies and also for the d${+}^3$He system in a broad energy interval. The potential-model approach well describes quantitatively the photonuclear ${}_{}{}^3{}_{}{}^{}\mathit{p}$+d and d${+}^3$He${\to }^5$Li γ processes in a broad photon energy range ${\mathit{E}}_{\gamma }$≤30 MeV.