Halo nuclei with the Coulomb-Sturmian basis

Abstract

The rapid falloff of the oscillator functions at large radius (Gaussian asymptotics) makes them poorly suited for the description of the asymptotic properties of the nuclear wave function, a problem which becomes particularly acute for halo nuclei. We consider an alternative basis for ab initio no-core configuration interaction (NCCI) calculations, built from Coulomb-Sturmian radial functions, allowing for realistic (exponential) radial falloff. NCCI calculations are carried out for the neutron-rich He isotopes, and estimates are made for the RMS radii of the proton and neutron distributions.

10 pages, 8 figures; presented at the International Conference on Nuclear Theory in the Supercomputing Era, Ames, IA, May 13-17, 2013; as published in Proceedings of the International Conference Nuclear Theory in the Supercomputing Era 2013, ed. A. M. Shirokov and A. I. Mazur (Pacific National University, Khabarovsk, Russia, 2014), pages 325-335; http://ntse-2013.khb.ru/Proc/Caprio.pdf