Generalized potential-model description of mutual scattering of the lightest<i>p</i>+<i>d</i>,<i>d</i><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>He 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 ${\mathit{T}}_{\mathit{L}}^{[\mathit{f}]}$ with different symmetries [f]. We have constructed the interaction potentials ${\mathit{V}}_{\mathit{L}}^{[\mathit{f}]}$, [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${\ensuremath{\rightarrow}}^{5}$Li \ensuremath{\gamma} processes in a broad photon energy range ${\mathit{E}}_{\ensuremath{\gamma}}$\ensuremath{\le}30 MeV.

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