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Astron. Astrophys. 348, 993-999 (1999)

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1. Introduction

The presence of the neutrino problems extends not only to the field of astrophysics (Bahcall et al. 1998a), but to the anomalies of the atmospheric neutrinos. Apparently, the possible solutions to these unexpected anomalies are not compatible allowing three neutrino flavours (Kayser, 1998).

Nevertheless, the apparent paradox may be resolved when taking into account the effects of the thermonuclear runaways present in stellar cores (Grandpierre, 1996). The neutrinos produced by the runaways may contribute to the events detected in the different neutrino detectors. Estimating the terms arising from the runaways, the results obtained here are at present compatible even with standard neutrinos. The objections raised against a possible astrophysical solutions to the solar neutrino problems (see e.g. Hata et al. 1994, Heeger & Robertson, 1996, Berezinsky et al., 1996, Hata & Langacker, 1997) are valid only if the assumption, that the solar luminosity is supplied exclusively by pp and CNO chains, is fulfilled. Therefore, when this assumption is not fulfilled, i.e. a runaway energy source supplies in part the total solar energy production, a more general case has to be considered. In this manuscript I attempt to show that the presence of the runaway energy source, indicated already by first physical principles (Grandpierre, 1977, 1984, 1990, 1996; Zeldovich & Novikov, 1971, Zeldovich et al. 1981; see also the Appendix) could be described in a mathematically and physically consistent way. The contributions of the runaway source to the neutrino detector data may be determined, allowing also solar cycle changes in the neutrino production. The results of Fourier analysis (Haubold, 1997) and wavelet analysis (Haubold, 1998) of the new solar neutrino capture rate data for the Homestake experiment revealed periodicities close to 10 and 4.76 years.

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© European Southern Observatory (ESO) 1999

Online publication: August 13, 199