The Lorentz integral transform (LIT) method is briefly presented. The ill-posedness of the inversion is discussed and it is pointed out that the LIT is an integral transform with a controlled resolution. As application the dipole response of a three-particle system bound in a hypercentral potential is considered. The inversion is performed in two ways, both employ expansions of the response function and of the LIT on a basis set and a transformed basis set, respectively. A previous study of the process under consideration seemed to point to serious problems in the inversion process. In the present work, however, it is shown that the LIT approach can be carried out in a reliable way.
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Win Leidemann,
- 3 4 Victor D. Efros,
- 4 Veronica Yu. Shalamova
- 1 Università degli Studi di Trento / University of Trento
- 2 Trento Institute for Fundamental Physics and Applications [TIFPA]
- 3 Курчатовский институт / Kurchatov Institute
- 4 Национальный исследовательский ядерный университет МИФИ / Moscow Engineering Physics Institute [MEPhI]