Pairing correlations in odd-mass carbon isotopes and effect of Pauli principle in particle–core coupling in 13C and 11Be

Abstract

We present an exploratory study of structure of 13C, 15C, 17C and 19C, showing that the simple one-quasiparticle projected BCS (PBCS) model is capable to account for several important properties of these nuclei. Next we discuss the importance of the Pauli principle in the particle–core models of normal-parity states in 13C and 11Be. This is done by considering the pairing interaction between nucleons moving in an over-all deformed potential. To assess the importance of pairing correlations in these light nuclei we use both the simple BCS and the PBCS approximations. We show that the Pauli principle plays a crucial role in the parity inversion in 11Be. It is also found that the effect of the particle number conservation in relatively light and/or exotic nuclei is quite significant. Comparison of our results with several recent papers on the same subject, as well as with some experimental data, is presented.