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We describe odd isotopes as formed of a core plus one neutron. We havecalculated the modification of single neutron energies brought by couplings ofthe neutron with collective $2^+$ phonons in the cores. The results reproducevery well the inversion of $2s$ and $1d_{5/2}$ shells in carbon isotopes up to$^{19}$C while in oxygen isotopes the correction is also large but do not showany inversion in agreement with experiments. The calculated energies are closeto the experimental ones in both series of isotopes except in $^{21}$C for the$2s$ state for which our coupling is too weak.

Neutron rich Carbon and Oxygen isotopes with an odd number of neutrons