On the Accuracy of Hyperspherical Harmonics Approaches to Photonuclear Reactions

Abstract

Using the Lorentz Integral Transform (LIT) method we compare the results for the triton total photodisintegration cross section obtained using the Correlated Hyperspherical Harmonics (CHH) and the Effective Interaction Hyperspherical Harmonics (EIHH) techniques. We show that these two approaches, while rather different both conceptually and computationally, lead to results which coincide within high accuracy. The calculations which include two- and three-body forces are of the same high quality in both cases. We also discuss the comparison of the two approaches in terms of computational efficiency. These results are of major importance in view of applications to the much debated case of the four-nucleon photoabsorption.

arXiv comment12 pages, 3 figures

References in corpus (8)

• Response Functions from Integral Transforms with a Lorentz Kernel
• Electron and Photon Scattering on Three-Nucleon Bound States
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• Total Photoabsorption Cross Sections of A=6 Nuclei with Complete Final State Interaction
• New inversion methods for the Lorentz Integral Transform
• Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces
• Benchmark Calculation of the Three-Nucleon Photodisintegration
• Ab initio calculation of Li7 photodisintegration

Cited by in corpus (3)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems
• Some relativistic aspects of nuclear dynamics at the electrodisintegration of nuclei