Quasiparticle-Rotor Model Description of Carbon Isotopes

T. TARUTINA, A. R. SAMANA, F. KRMPOTIC, AND M.S. HUSSEIN

Guaruja, Brasil

Workshop; XXVIII Workshop on Nuclear Physics in Brazil; 2006

In this work we perform quasiparticle-rotor coupling model calculations within the usual BCS and the projected BCS for the carbon isotopes 15 C, 17 C and 19 C using 13 C as the building block. Owing to the pairing correlation, we find that 13 C as well as the cores of the other isotopes, namely 14 C, 16 C and 18 C acquire strong and varied deformations. The deformation parameter is large and negative for 12 C, very small (or zero) for 14 C and large and positive for 16 C and 18 C. This finding casts a doubt about the purity of the supposed simple one-neutron halo nature of 19 C.