Jost function method on a Lagrange mesh

Abstract

In a new formalism of the Jost function method, the coupled first-order differential equations are solved on a Lagrange mesh. To this end, we modify the original definition of the expansion in the Lagrange basis by adding an inhomogeneous term. Bound and scattering states within a simple potential model are obtained with reasonable accuracy. Further, we apply the present formalism to solve scattering states of the 4He+n system in order to examine the applicability to a realistic nuclear problem. © The Author(s) 2013.