For standard neutrinos, recent solar neutrino results together with the assumption of a nuclear powered Sun imply severe constraints on the individual components of the total neutrino flux: ${\mathrm{\Phi }}_{\mathrm{Be}}$≤0.7×${10}^9$ ${\mathrm{cm}}^{\mathrm{-}2}$ ${\mathrm{s}}^{\mathrm{-}1}$, ${\mathrm{\Phi }}_{\mathrm{CNO}}$≤0.6×${10}^9$ ${\mathrm{cm}}^{\mathrm{-}2}$${\mathrm{s}}^{\mathrm{-}1}$, and 64×${10}^9$ ${\mathrm{cm}}^{\mathrm{-}2}$ ${\mathrm{s}}^{\mathrm{-}1}$≤${\mathrm{\Phi }}_{\mathit{p}\mathit{p}+\mathrm{p}\mathrm{e}\mathrm{p}}$≤65×${10}^9$ ${\mathrm{cm}}^{\mathrm{-}2}$ ${\mathrm{s}}^{\mathrm{-}1}$ (at 1σ level). The bound on ${\mathrm{\Phi }}_{\mathrm{Be}}$ is in strong disagreement with the standard solar model (SSM) prediction ${\mathrm{\Phi }}_{\mathrm{Be}}^{\mathrm{SSM}}$≊5×${10}^9$ ${\mathrm{cm}}^{\mathrm{-}2}$ ${\mathrm{s}}^{\mathrm{-}1}$. We study a large variety of nonstandard solar models with low inner temperature, finding that the temperature profiles T(m) follow the homology relationship T(m)=${\mathit{kT}}^{\mathrm{SSM}}$(m), so that they are specified just by the central temperature ${\mathit{T}}_{\mathit{c}}$. There is no value of ${\mathit{T}}_{\mathit{C}}$ which can account for all the available experimental results. Even if we only consider the gallium and Kamiokande results, they remain incompatible. Lowering the cross section p${+}^7$Be→γ${+}^8$B is not a remedy. The shift of the nuclear fusion chain towards the pp-I termination could be induced by a hypothetical low energy resonance in the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$${+}^3$He reaction. This mechanism gives a somehow better, but still bad, fit to the combined experimental data. We also discuss what can be learned from new generation experiments, planned for the detection of monochromatic solar neutrinos, about the properties of neutrinos and of the Sun.

• Received 27 May 1994

DOI:https://doi.org/10.1103/PhysRevD.50.4749