Breakup of s-wave neutron-halo systems with near zero binding energy

Abstract

In this paper, we analyze the Be11+208Pb and Mg37+208Pb breakup reactions in the projectile zero binding energy limit. The objective is to verify whether finite and converged breakup observables can be obtained for an s-wave neutron-halo system when its ground-state binding energy approaches zero. Applying the CDCC formalism, we report that for both projectiles, finite and converged breakup cross sections are obtained despite the extension of the projectile ground-state wave functions to infinity. We argue that this is due to the square-integrability of the bin wave functions, which are involved in CDCC calculations. This is evidenced by the lack of convergence of the elastic scattering calculations, where the radial integral of the matrix elements contains the projectile ground-state density and is independent of the bin wave functions.These results could prove useful in the analysis of future experimental data in the breakup of extremely weakly-bound neutron-halo systems and may contribute towards a better understanding of open quantum systems.