arXiv:nucl-th/0512033·v4·Nuclear Theory
Pairing Correlations in Odd-Mass Carbon Isotopes and Effect of Pauli Principle in Particle-Core Coupling in 13C and 11Be
A.R. Samana (Centro Brasileiro de Pesquisas Fisicas, Brazil, Facultad de Ciencias Exactas, Departamento de Fisica, Universidad Nacional de La Plata, Argentina) · T. Tarutina (Universidade de Sao Paulo IFUSP, Brazil) · F. Krmpotić (Universidade de Sao Paulo IFUSP, Brazil; Instituto de Fisica La Plata, CONICET, and Facultad de Ciencias Astronomicas y Geofisicas, Universidad Nacional de La Plata, Argentina) · M.S. Hussein (Universidade de Sao Paulo IFUSP, Brazil) · T.T.S. Kuo (Department of Physics and Astronomy, State University of New York, Stony Brook, USA)
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.
Comments: 27 pages, 9 figures, some changes and reordering for reduced the text, the conclusions remain the same ones, Nuclear Physics A in press