Correlations in a Many-Body Calculation of ${}^{11}$Li

Abstract

A many-body calculation of ${}^{11}$Li is presented where the only input is the well-tested, finite-range {\it D1S} effective interaction of {\it Gogny}. Pairing correlations are included in a constrained Hartree-Fock-Bogolyubov calculation, while long-range collective correlations are introduced using a GCM derived calculation. Correlations are found to play an important role in describing ${}^{11}$Li. A substantive underlying ${}^9$Li core of ${}^{11}$Li is found, which has a different density profile than a free ${}^9$Li nucleus. This may have significant implications in the use of a three-body framework in studies of ${}^{11}$Li.

Comments: 23 pages typeset in revtex 2.0 with 8 postscript figures in accompanying uuencoded file