One of the most important subjects in nuclear structure is the nature of nuclei near the particle drip lines. In these regions, some of the basic concepts developed in studies of stable nuclei may need to be modified. An urgent task for theoreticians is to develop methods which are reliable enough to investigate those unstable nuclei. The Quasiparticle Random-Phase Approximation (QRPA) is one of the general and well-developed methods for calculating excited states, and we expect it to work well in all nuclei. (The approximation is reliable only in the small-amplitude limit [1].) A fully self-consistent QRPA calculation with a Skyrme force, however, is not easy because of technical difficulties, and in typical applications self-consistency is broken and/or some components of the interaction neglected (see [2]). In this paper, we exhibit a self-consistent QRPA calculation and examine its accuracy. This is important preparation for an investigation of exotic nuclei that is free from theoretical ambiguities.
In the next section, we explain our procedure for solving the QRPA equations. Results of calculations are illustrated in Sec. 3, while Sec. 4 contains conclusions.