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A. Ivanov, M. Cargnelli, M. Faber, H. Fuhrmann, V.A. Ivanova, J. Marton, N. Troitskaya, J. Zmeskal:
"From solar proton burning to pionic deuterium through the Nambu-Jona-Lasinio model of light nuclei";
European Physical Journal A, 23 (2005), 1 - 6.

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 ¯ts well the experimental data. Using the cross-sections for
the reactions ºe + d ! p + p + e¡ and ºe + d ! p + n + ºe, 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 °uxes. 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 testi¯es 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.

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