Quasivacuum solar neutrino oscillations

We discuss in detail solar neutrino oscillations with $\delta m^2/E$ in the range $\left[{10}^{-10}{,10\mathrm{}}^{-7}\right]\hspace{0.5em}{\mathrm{eV}}^2/\mathrm{MeV}.$ In this range, which interpolates smoothly between the so-called “just-so” and “Mikheyev-Smirnov-Wolfenstein” oscillation regimes, neutrino flavor transitions are increasingly affected by matter effects as $\delta m^2/E$ increases. As a consequence, the usual vacuum approximation has to be improved through the matter-induced corrections, leading to a “quasivacuum” oscillation regime. We perform accurate numerical calculations of such corrections, using both the true solar density profile and its exponential approximation. Matter effects are shown to be somewhat overestimated in the latter case. We also discuss the role of Earth crossing and of energy smearing. Prescriptions are given to implement the leading corrections in the quasivacuum oscillation range. Finally, the results are applied to a global analysis of solar $\nu$ data in a three-flavor framework.