Oscillator basis, scattering and nuclear structure

Abstract

We note that a Lanczos algorithm can be used to generate a harmonic oscillator basis. We use it to formulate quantum scattering theory utilizing an expansion of scattering wave functions in series of oscillator functions. The continuum spectrum solutions of the Schrödinger equation are found by means of Lanczos iterations. This formalism provides a possibility to extend a nuclear shell model, in particular, an ab initio no-core shell model, on a scattering domain. © Published under licence by IOP Publishing Ltd.