Eur. Phys. J. A (2005) 23: 1-6
https://doi.org/10.1140/epja/i2004-10070-4

From solar proton burning to pionic deuterium through the Nambu-Jona-Lasinio model of light nuclei

¹ Atominstitut der Österreichischen Universitäten, Arbeitsbereich Kernphysik und Nukleare Astrophysik, Technische Universität Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria
² Stefan Meyer Institut für Subatomare Physik der Österreichische Akademie der Wissenschaften, Boltzmanngasse 3, A-1090, Wien, Austria

^* e-mail: ivanov@kph.tuwien.ac.at

Received: 1 July 2004
Accepted: 1 September 2004
Published online: 23 November 2004

Abstract

Within the Nuclear Nambu-Jona-Lasinio model of light nuclei (the NNJL model), describing strong low-energy nuclear interactions, we compute the width of the energy level of the ground state of pionic deuterium. The theoretical value fits well the experimental data. Using the cross-sections for the reactions ν_e + d → p + p + e ^- and ν_e + d → p + n + ν_e, computed in the NNJL model, and the experimental values of the events of these reactions, detected by the SNO Collaboration, we compute the boron neutrino fluxes. The theoretical values agree well with the experimental data and the theoretical predictions within the Standard Solar Model by Bahcall. We argue the applicability of the constraints on the astrophysical factor for the solar proton burning, imposed by helioseismology, to the width of the energy level of the ground state of pionic deuterium. We show that the experimental data on the width satisfy these constraints. This testifies an indirect measurement of the recommended value of the astrophysical factor for the solar proton burning in terrestrial laboratories in terms of the width of the energy level of the ground state of pionic deuterium.