It has been shown by Galitskii and Yakimets that in a dense plasma, like the stellar core, the tunneling particles undergo simultaneous collisions with other particles and, due to quantum uncertainty effects, the particles distribution function over momenta acquires a non-Maxwellian power-like tail even under thermodynamic equilibrium. We show that these many-body effects imply a strongly modification of the nuclear CNO reaction rates which are, however, strongly modulated by taking into account the correct non-extensive thermostatistical framework when memory effects and long range force are not negligible. These statistical features match the plasma characteristic of weak non-ideal stellar plasma like solar interior. [References: 11]
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