  Primordial or Big Bang nucleosynthesis (BBN) is one of the three strong
evidences for the Big- Bang model together with the expansion of the Universe
and the Cosmic Microwave Background radiation. In this study, we improve the
standard BBN calculations taking into account new nuclear physics analyses and
we enlarge the nuclear network until Sodium. This is, in particular, important
to evaluate the primitive value of CNO mass fraction that could affect
Population III stellar evolution. For the first time we list the complete
network of more than 400 reactions with references to the origin of the rates,
including \approx 270 reaction rates calculated using the TALYS code. Together
with the cosmological light elements, we calculate the primordial Beryllium,
Boron, Carbon, Nitrogen and Oxygen nuclei. We performed a sensitivity study to
identify the important reactions for CNO, 9Be and Boron nucleosynthesis. We
reevaluated those important reaction rates using experimental data and/or
theoretical evaluations. The results are compared with precedent calculations:
a primordial Beryllium abundance increase by a factor of 4 compared to its
previous evaluation, but we note a stability for B/H and for the CNO/H
abundance ratio that remains close to its previous value of 0.7 \times 10-15.
On the other hand, the extension of the nuclear network has not changed the 7Li
value, so its abundance is still 3-4 times greater than its observed
spectroscopic value.
