Efficient Method for Lorentz Integral Transforms of Reaction Cross Sections

摘要

The Lorentz integral transform (LIT) method, which allows ab-initio calculations of few-body cross sections, is reformulated via the Lanczos algorithm. The new technique, being quite general, is tested on inclusive and exclusive photonuclear reactions on three- and four-body nuclei. Due to the rapid convergence of the algorithm one gains a substantial decrease in CPU time with an excellent agreement with the results of a conventional LIT calculation. The present work opens up the possibility of ab-initio calculations for inclusive and exclusive processes for systems with a number of particles N ≥ 6.